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Each time F5:Info is pressed, a a different dialog box is displayed. The manual is available on-line at http://www.dvtg.com/ticalcs/docs Thank you for purchasing EEPro!EEPro Frequently Asked QuestionsHow can I get help with EEPro? The users manual is on-line at http://www.dvtg.com/ticalcs/docs For technical support, e-mail support@dvtg.com or call in the U.S. 1-541-757-8416 Ext. 109 (9AM-3PM PST Monday-Friday)EEPro Frequently Asked QuestionsWhy does the equation set solver say "No solution found"? --One possibility is too few inputs. Inputs are displayed with "" in column 1. Use F5:Opts/6:Know to designate an existing value as an input, or enter a new value.EEPro Frequently Asked QuestionsWhat about VIEW? The VIEW feature provides a way to use the whole screen to examine any data item. Press any non-cursor key to return to the normal display. VIEW is in F5:Opts. The  key is often a shortcut to VIEW.EEPro Frequently Asked QuestionsWhy does EEPro create new units? When a variable's units are not one of the calculator's predefined units EEPro creates a new unit. Ex: _x1degk (=1/_K) is the default unit for in the Temp. Effect eqn in Resistive Circuits.EEPro Frequently Asked QuestionsIs the manual available on paper? Printed copies are available for purchase from da Vinci Technologies Group. E-mail sales@dvtg.com or call 541-757-8416 in the U.S.EEPro Frequently Asked QuestionsHow do I contact the developers? EEPro is a product of da Vinci Technologies Group, Inc. in Corvallis, Oregon USA Suggestions and comments are welcome. Contact da Vinci via e-mail at: improvements@dvtg.comEEPro InformationThe error functions erf and erfc are implemented as user-defined functions based on the algorithms in the book "Numerical Recipes in C" by Press, Teukolsky, Vetterling, and Flannery (2nd Ed. pp 220-221).p9Jk" nЀ0;N",6@JT^Hz^HzF`DHzIHz#`:Hz8Hz`0Hz0Hz `&Hz!Hz`HzHz`HzHz`HzHzNPR9NuEEPro 1.1 99.12.21EEPro 1.1 99.12.21 - Navigation GuideTool Bar (top line) and Status area (bottom)provide context-dependent usage hints.ENTER often does the same thing as F6.ESC 'backs up' to the previous screen.F1:Tools/8:Clear goes back to the beginning.ANALYSIS functions solve specific problems.EQUATIONS are grouped into sets applicableto specific situations.REFERENCE has handy lookup tables.H O4|$RATCp`QJ9f`. j0Np&>?Hy"jlN>Hy"jLNC.Hy"jNO"jdN"j if>HzN>HzN>HzN>Hz1N>HzLN>HzgN>HzN>HzN>HzN>Hy"jLN.Hy"jN>Hy"jLNO0OLNuH 4|$RJ9gNNpNNp33p??Hy"jlNPJ9fNFv?NTRC CmLNu yoSyNJN`NJNuNVH4|$RABC>N.Hn j NX>N&Hpf `B@+>/ NX(H>NJgLp./ HnNP/Hy j N.N.Hy j NO J@gp`p`Rp./ NX/Hy j N|.Hn j NA.N>?N#LN^NuH Y6/4|$R. jN."jN>"jXN."j N3>"jXN8 SDD33J/g"p333`D09yd 3`09H49@309B3>"j\N3."jNN# yf yfNXLNu/ Y4|$R. jN. j4N."jTN."jNNp#X$_NuEEPro AdvisoryError while closing windows...H8O$o`6|&S(S(T` f`F(l"fA. kPN6f. k,N"kTN`.HzN>?"kDN\OLLNuEEPro re-entered.prodata1H8Ol$o6|&Sv6 f`J9f  g g` f`  n mv @nFg2 @ng @gzoX @fP`L @ng @f:` @f.` @n"g@ @ ng @ f`, @f` @`ng @@f`d @gd`pAC2222222#`J9fJ9fv`J9ghA0000000`zJ9g>`dp. kNJ9f`4J9gA0000000` J9gA0000000`J9gA0000000`"kdN"k i$gJ9g`J9gF`nJ9g2N`^AC2222222J9g`4(k$(TCL."kPN8fTJ9g 9t 娀./NX`&A0000000#p   ngz gfoN  fF`Z n gP f2`R `g`&$yf`,f0.N`"J9g.N` .NJ9fJ9gVJ9g"N"kdN"k ig ."k NNN"kT`l"k$"0 @g* @g`DNNxJ9fFN`6"kJg"kN>?"kDNTN@`N:>"kLN"k$"J9g ."k\NJ9g.?9"k8NTJ9g.p.?9"k8NTJ9g.?9"k8NTJ9g.?9"k8NTJ9g09g ."k4NJ9g8N"kdN"k ig."kTN."k N09g ."k4NpJ9gx."kTN."kTN"kdN"k if>?9"kPNT`2"k3|"k0) yf k"k3h >"klNJ9g0J9g(."kN.N.NJ9g>C."kPNJ@f.N"kTN."k\NOLNuDECH0Y$o6|&S6p0 nv ml @n.g @n gV @fR`B @goD @f<` @@n g< @f(`F @`go @g`N` ."kN`.Hy"kNX`6* p0 n> m4 @nVg @ n$g @ng @ f` @ f`t @ng @f`z @gto @f`f @n g @Qn g| @f`J @Tf`h @Tn g` @Qf`V @AQgPo @ATgF`"kJQg`$>N`"kJQg` >0@ ?NT.?<NT>N>N`N`40.Hy"kNX`.Hy"kNXJ@f`N`."kN`rp`bNN`P"kdN"k i$gJ9g`.Hy"kNXJ@fXL Nu NVH<4|$RvGIK-|`tBD 4@fd@8ykTHp09lF Uf@ yf6>/. jLN.y??</."jNO RRC09BB9B@oxL<N^NuDECentry exceeds buffer lengthsyntax errorEEPro AdvisoryPlease use the Toolbar to select units instead of keying in the units on the author line. Units chosen will be used for displaying the value. Calculations always use default units. (See F5:Opts/2:Type)EEPro AdvisoryInvalid variable reference. Conflict with system variable or reserved name.temp conversion err_w_wdeg/watt conversion errtemp conversion errRADIANRECTANGULAR: storage errorAn error has occurred while storing into this variable. (The name of the variable is in the title of this dialog box.) Use VAR-LINK to examine the current status of the variable and use MEM to see how much RAM is free.Invalid ValueInvalid ValueNVH"j N>"jXN."j N<oH.?NT&j$&S`S  gJf"j$"|>"j N>-"j NJFn&>NN.?<NT` yf.>NJfp`p"j$"Jg."jN`  yf>"jXN."j N c."j$".A/NX."jNN`.?"jXNT/Hn"j NP| yg`C.NJf."j$".A/NX."jNN`FC.N"j$.N g,"j$".Hz NX."jNNb`C."jPN8f"j$."j8N"jTN`6 Dvg>"jLN"j$".HzNX."jN`J9fVJ9f J9gD>N-HCf&j$&S.N>"j N*j$*U"nB@)>/ N-H.N.N."j4N./ "j NP>'"j N>"j NC."jPN8f"j$."j8NN"jT`.H/NX"j$"`jCf&j$&S.N>"j N.N>"j N*j$*U"nB@)>/ N-H.N.N.N>"j N."j4N./ "j NP>("j N>"j NC."jPN8f"j$."j8NN"jT`.H/NX"j$"`xCf&j$&SC8."jPN8f."j4NN.NN>"j N"j$."j8N*j$*U"nB@)>/ N-H.N.NN"j$-Q"j$."j8N./ "j N."j4N./ "j NO >("j N>"j N"j$."j8NNN"j$."j8N"jT`p.H/NX"j$"`XJgR.N"nB@)>/ NX.N.N>"j N>"j N"j$."j8N&j$&SC."jPNJ@fx j"j$$ $QB@$B 0e"j j$$ $PB@$B 1c4"j$ $Q $@f"j$"Q !+g"j$"Q !,g "j$."jN"jTN`"j$""j$d./ "j(NX/"j NX"j$.?NTJgC."jPN8f"j$ Q f"j$"Q !&f"j$U*j$*U."j(N&H./ "jN"j$."jN"j$."j(N./ "j N"j$-Q./ "jN"j$."jN"j$."j(N./."j N>&"j N>"j N>"j N.?<N.?<N"j$.Hn_NO>N>N`"j$.Hn_NX"jTN`t Dg Dg Dg>"jLNCP"j$"C_."j NDd.HzHn_"j N.Hn_NO ."jN`J9f`>NJfTN*`N.N.?NTCPC_.N"j$"."jNN`zCP"j$"N yf yf|Jgt|f.Hn_"j NXJ9f4>"j N.N>-"j N"j$.Hn_NX`C_.N>?NT"j$"3N|p0 n m @n6gl @ngd @ g^o @ f`P @n gH @fp`@ @fh`8 @Qng@ @Qn g0 @fP` @TfH` @AQn g0 @Tf8` @ATg*`.N`&N`N`N`N`NLHnHy"kN>Hy"kLN>Hy"kN."kTN=|=|=|=| >p???HnHyHy"kNO"."kPN3"kdN"k i$gJ9g`333P RC G&&&@0.ܐn30.ސn3"k ig ]y[y2909N32909N309@ 209N3049@QBJB 33."k if0<`p@`?HnHy"kN>Hy"k8NO"k igT."k4N."k0N>Hy"kLN.Hy"kN>Hy"kLNO `."k0N`C."kNA#.NJfNpp3#N."kN`p`6* 8D DQg. DTg( DXg" DRg DYg DSg D\g DVgp`pJ9g8Jf4 CA g.J9g"Np#`6<J9gACB@J1f"k1gt CdnpP."k@N8f>?<"kDN` Cf.?"kXNT/"kLNX`> HzV?"kXNT/"kLNP>?NlT`Jg J9gp0 n m @Rng @n>gR @ng @ go~ @fv` @ g(of @ f^` @ng @goD @f<` @ng @f&` @Qf`B @AnHg @QngR @Tg8o @Xf` @TngB @Rf` @Xf` @ATngD @AQg*o @ARf` @Png @AXf` @`g`N`N`|N`rN`hJ9g N`VJ9gLACB@ 1fp>N`N`N`N`N`N`N`N`N`N`N`N`N`rJ9ghACB@J@g @g( @g6`:p>?<NT"HN`p>N`p>N`p#J9gJg yN`J9g8 yf yg yf yfNN`J9g yf>N`hNؚJyoZ>N`L"kJQg`8C>N`("kdN"k i$gJ9g`J9fJyfN6`>N`J9g09gJ9fBC9BD9BE9BF9."k N`JyfNp`NJ9f ."k N>N"kdNJ9g"k igCAC.Hy"kNX`."k4N."k4Np`dNʸ09gL."k0N`>NJg4p.?*NT`" Cg.p0/NXCd."kPN6f>N"kT`8 CfNv>NRC Cl`.H/NX>"kLNL?< jHN>?<""jHN>?<s"jHN\ yf#`p>??<"jLNp>??<"jLNp>??<"jLNp>??<"jLNp>??<"jLNp>??<"jLNp>??<"jLNp>??"jLNO X$_NuProData1EEPro 1.1 99.12.21DV01DV01EEPro AdvisoryUnable to save EEPro data. There may not be enough RAM free to create the prodata1 variable. Prodata1 "saves EEPro's place", and requires about 1000 bytes.EEPro AdvisoryUnable to save EEPro data. The prodata1 variable, which "saves EEPro's place", might be locked or archived.NVH<6|&S-|J9f`\J9gNժ=||Yp.HzqC/ NP-|-|=y=y=yvEI0|RCHm=yvEI-|KC-I2<2| BDt lBBJBIl nBBJBAlB@@ n0RRRRTRC Cm=yP=yR=yT=yVCXA222C^A"""""""""-y-y=y-y-y-y-y-y-y-yvIE0|RCHmyC=yD-yFyJyK-yLvIEP0| RCHmyYyZvIE\0|4RCHm=yhvIEj0|RCHm=y*=y,y.vIE/0|QRCHm|.Hn"k NX|6"kLNJDg4 Cf .Hz` .Hz*NX>"kLN."kTNL<N^Nu\PROdata1DV01DV01DV01EEPro 1.1 99.12.21EEPro AdvisoryThe variable prodata1 is inconsistent with this version of EEPro or with its present position in memory. prodata1 will be overwritten unless you QUIT EEPro now.NVH<4|$R|p./.Hn j NA. j ND.HzHn j N.?<Hn jPNOJ@gp`H.?<HyHn jxNO vGJ@f69> jXNT(H,G fR./ j NXJ@f> Tf8 ,Yf0. LV/ j NXJ@fCf Ag.Hz:Np`3 3"3$vK&G0|RCHm3FvGHK-|-|-|2| rt 80h0H nIl0H n Cl  nTRRRRRC Cm3|3~33CA000CA ##3#######vKG0|RCHmo3p#rvw#xvK|G0| RCHmvKG0|6RCHm3vKG0|RCHm3V3XZvI[G0|QRCHmpp3#Np#J9g .N."jTNpL<N^NuO2|"Q ofpONu>?9 i NO#pNuFolder:OPENNVH 4|$R>Hn j ?9Hz?<?<?<?<? jNOJ@g>?<Hzr?<p???? jNOJ@g.p/p??? jNO @ f>?9 j NT#. j NJc^09ngR&j$&S> j N.NC."jPN8f"j$."j N"jT` "j$">"jLN"j$">"j\N>"j\NL N^NuEEPro NEWFolder:NVH8$n6|&S:<.?<?<Hz?<p(???<? kNO8g.> ?<?<Hz?<?<?<?<? kNO8|JDgp.Hnp??? kNO :> k\N E f<(k$(TC."k(N"k$."k N"k$"p.Hn/ "k NP` EfL8N^NuProject H04|$RvG("KHz/ j NP1@D RC C mL NuNlNNuAg&?9NT#NNNu+-*/()^=, oNuInsufficient Table SpaceH0O&/l4|$RzG0|`REHl 0@Jsf Em.H/NXR(|C."jPN>f."jLN<"jT`>"jLNC0@3C0H#p>"jhN#>"jXN#>"jXNCM#POLL Nu2/ol2/oo2/0NuH<6/4|$R?/NT*H f`PJCjBC-?/ N\(H f`0/ NX&H(l g/ j NXJg / / NP ML<NuH84|$R&j$&S//N?<"j$/"j NO (H f` 0, @g"j$""j$/"jxNX"j$"LNupNu#Nu/Jyf$/9NXT3`Syv09kCB@9@49c&NuH6/ x`N0@BB8SCJCf0LNuNVH 6.4|$RA.?NT&j$&SA.NJfx` j$. j8N j"j$$ $QB@$B 0e"j j$$ $PB@$B 1c,"j$ $Q $@f"j$"Q !+g"j$"Q !,gx`b"j$.N-n-n=nNmN?iox`&/./.?."jNO NZNd"j$" Dl8 yfx`*>? 9/N\"HA (. yf yo4x`0>? 9/N\"HA ٸno(.0L N^Nu / @/g `NuNVH?< ?. 9/NPBC( C:n?<?/? 9/NR\C"""""Högp`pJg A.N`$&j$&S>"jN"j$.HnN"j$"L N^Nu/JnNuS 9 @9g `RNuH j\N6Jg"Uf o p0*"op" o TXXDXRC Cm3OL<NuInt. err.: SafePushParseTextH8Y$o6|&S. k N6gj"J kȳe k$c . k(NX`X kȵeB"J k$b6(k$(T.N>"k N$k$$R"LR."k(N./ "k NP`./ NZPLNuNV-C?<?<?.N.6H@?/"kLN"k$"pOLLNuExitNVH. . 4|$RJjBAB@3>N#fp` yB@(3A`NHyoA`/9N(X&H g"S`(IJg` g\p./ NX/Hy"j NP#"yHB@)@gp`pH>?9NTJgJ9f~>N|p./Hn"j N|.Hn"j NO J9f.HnNX`C.N>?9N8TN LLN^NuH k\N8A0Hp CK#0 Ѐ#.N*./NtX 9$@Z3xN6JgR>N8f>Nx8gD`x_Hĸo8v` 9R.N&@>N RCDmHĚ D_gX>N,<f >N P@<XF>N&9HSHƼo<x` R.N@>NRDFmHƚJnB JXL"j N"j$."j8N"j$"XL NuAngleRADIANComplex FormatRECTANGULARAngleComplex FormatH"j N"j$."j8N.HzxN.HzrNO"j$"L<NuNVH 4|$R&j$&S/. NH"j$//.N"j$"L N^NuH0Y4|$R&j$&S.N."j4N>"j N"j$."j8N"j$"XL Nu H."j HNoV@:@.N>/9"jN0 oZR@>0DR@?0 U@?0U@?"jN>//9"jNOC?CX`v*0 M?@\`< /`R`.N6@Dl 0 g>\0G?/9"jN\RFDl 0 g>\0G?/9"jN\RFDl 0 g>\0G?/9"jN\RFDl0 g>\G?/9"jN\XCREoXmPR0 oVm4#NOdL Hn/ jxN6>/9 j8NO JCf./N#(3& ynJyn.09H/NO`b.,N#0#4vEp`RCDmvEp`RCymNpNO LNu/ONp#6/8#H>NN.DN\NO,&NuNVH4|$RNAC"""""""""> N"nA vI`.>? ./Nb&HAp./ /"j NORCym3N#pLN^NuNVH4|$RNAC""""""""". @3> NvI`.>? ./N&HAp./ /"j NORCym.N#3Np# Jg"yNLN^Nu//N|/9N:PNuBrw4DoFnNAC"""""""""p#####30/HSk nЀ0;N 6bLA(p/ QNFO$`hA(p/ QN6O$`RA(p/ QNRO$` k N.Nx"k$."k k N.N"k$."k"kLN0OPLNuH0"o4|$R&j$&Sv gJg / NTX6 j$ 0L NuNVH<8$n 6.&n(n:|*Uz.Hn m N.Hn m NP-H-|-|-|`x-n-n` n gt> ?/ N-Hpd./HnNA./. m NOJ@f> n nJ(f n n.N`Jfz6`Sg8RRRDCmt n.Hx"m NX-HJfDL<8N^NuEEPro analyzing variable usageNVH<8.Nz89vE`Jg gp`pRRCDmvGEIp`RCymvG`:Jf f,>/9NC.Hn?9/9/NORRCDm>NvEGIK-|r`BJg fR9`$0BB9B fp`p nRRRRRCym3p#NNL<8N^NuNVH8$n6. 6|&SHp09f:9`L0g @g @g `x`x`x kdN"k ifp`p49@r20HN:>Hy"kLNv."k N8C.HnHy"kPNO 09y4.HH@B@H@oB>09S@?09S@?p??"kNP/Hy"kNP09nI`>/ "kN>?< ?.?</ "k$NO E2op2`0H."J/ HnNBC.?.?</ "kNO E2op2`0@09nDlZ09y4.HH@B@H@o>>09S@?09S@?p??"kNP// "kNP09n>?</ "klN\Dm>Hy"kLNL8N^NuNV?9/.NN^Nu/ $o/ N/ NP$_NuNVH 4|$R&j$&S?< j N/. NL?<-"j N"j$//.N"j$"L N^NuH0Y4|$R&j$&S> j N.N>-"j N."j4N>"j N"j$."j8N"j$"XL NuHdNr(H f`"l(I f4(k e c f"J !+g ",gp`p` p./ NX"kTN` "k$"p`"k$"OLL<NuNV-C693/. ?.N3&.N^NuH0Y$o6/6|&S g >+ k N`8Sx` ."k(N$H0RDCl g g >+"k N`."k4NXL NuHN"k$.N"k$/Q."kNp."k$/NXJfp`p"k$"JfJfp`pJf@"k$"QT/I."k N.N:Jf.?NbTJf "k$"p`Tz"k$"."k(N*H."k(N(H$kB@ g g gJgp` Jgp`pOLN"k$.N$k$$R."kNp."k$/NXJfp`p"k$"JfJfp`pJf@"k$"QT/IP."k N.PN<Jf.?NTJf"k$"`p`"k$"`."k(N*H."k(N(H$kB@ g g g*oX(oT|/|L`T"k$/Q\."k4N$k$$R f S."k(N$H."k4NC>N"k$.N$k$$R."kNp."k$/NXJfp`p"k$"Jf|C."kPNJ@ft"k$.?<?<@/ "kNP$k$$RT."k N.N8"k$"Q<"k$"Q.NJfJDk >?NT"oL@"kTN`2$k$$RT."k N"k$S.N./ NX"k$"\."k(N*H."k(N(H$kB@ g g gJgp` Jgp`pOdL"jLN"jJg"jNEP./ N.Hz NPN#>N>N>NOLL NuEEPro AdvisoryNo equations have been selected. Please select either a single equation to solve by itself, or several equations to solve simultaneously.EEprob EEanstypNo equations were selected.Input values: , =EEinputNo input values providedEEprob EEanstypNo input values providedEEPro AdvisoryNo input values provided. Please enter known values, or use F5:Opts/ 6:Know to designate existing values as knowns. Knowns are displayed with "" in column 1.All variables knownEEprob EEanstypAll variables known{, }Syntax error in unknowns listEEanstypEEPro ErrorSorry, internal error! Syntax error in unknowns list.csolve( solve( and Syntax error in equationEEanstypSorry, internal error! Syntax error in equation.trueEEPro AdvisoryOne or more equations immediately simplifies to FALSE. In overdetermined eqn sets, roundoff error may cause the solver to conclude that the inputs are inconsistent and no solution is possible. You may want to select only eqns containing unknowns., EEPro AdvisoryIt may take a long time to find a complete solution, if one can be found at all. You may abort the calculation at any time by pressing the ON key.EEPro AdvisoryThe nsolve command will be used. The existing value for the unknown, if any, will be used as an initial guess.EEPro AdvisoryThe number of unknowns is greater than the number of equations. It may take a long time to find a partial solution. You may abort the calculation at any time by pressing the ON key.{, =}) | and =exact()EEprobNo soln possible for this dataEEanstypSyntax checking Solve command nowSyntax error in solve commandEEanstypSorry, internal error! Syntax error in solve command.Initial guess: =Initial guess: noneEEguessExact/ApproxAutoAngleRadianParsing now...Solving using nSolve now...Solving now...AngleError during SOLVEToo many unknowns to finish solvingTest did not resolve to TRUE or FALSEEEPro equation set solver errorOverflowEEanstypAngleEEansEEansno solution foundEEansmatEEPro Equation SetNo soln possible for this dataNo useable solution found.No solution found.EEPro AdvisorynSolve was unable to find a solution. It may be possible to find a solution starting from a different initial guess. To specify an initial guess, enter a value for the unknown and then use F5:Opts/7:Want to designate it as the variable to solve for.One complete useable solution found.One partial useable solution found.Multiple complete useable solns found.Multiple partial useable solns found.EEanstypNVH<8|(T l$-P:9|v=CEp` fRn@RRCEmnf| 9=@kp`p@gDnxnlN=EJ.gx`@Jnf:.Hz^N.HzN.HzNO N`JngJ.f=E|>"l N"l$ R-@.N:v-|-|` nBE"nB@1P=@" n"g P` "y.XHn3"l N|*l$*UC3."l(N>"l$/"lNP-@zg>."lN-HvJh g,> "l N&l$&ST."l N./ HnNRP"l$"C."l NJf"n n`6Jf .N|C3.N.NC.NRRC09BB9B@o"n.NP>-"l N"l$.Hz|N(X"l$"JgB.N6.HzwNB.HzrN4"l$".Hz~N` =|zEG<9B@9@`BCJ30fRnRREFoJnf2.N.HzN.HzN"l$"` P"l$ R-@.Nv,KG`TBEJ3PfFJf .N|> ? 9/N̐\-H$"HA(00000$n(.NRRC09BB9B@o.N$l$$R"n.NЈJf8"l$"NE1.N.HzAN.Hz"l N=n|:9B@9@K-|` BC"nJ10f Sn$nS=n` ."l(N$H0.SnJ@n&l$&SC."lPN=@f>/ NX>g*>NJg"l$.?NTJg >NJf"l$">*"l NJGg.NJ@gJfp`p>NJf<|3p.?NT/Hn3"l N.Hn3"l NO C3.N"lT`|"l$">*"l NSSE El>"l N"l$-Q>"l N"l$ R-@|J.g.`.Nlp@*@.=@K`J.f f>/9NbX-HJ.f .N|.N,Jf:"l$"NEW.N.HzbNt.0.H/NT` "l$-Qv"n."l(N"l$-Q."l4N`LS.`0$nS`./ NXJgv."l(N$H gJg."l(N&H gJgJf"l$.N$H fJ.fJfp`p@"l$"JfJf|C."lPN=@fz."l8N"l$ Q ,f"l$".`""l$ Q +gp`p@"l$".NJ.fJ.g|.HzQNX"lTN`"l$".NRGRRn0.nm.NJ.g6 Gf nfJ.g .Hz`,z nn.Hz`nl Go.HzNXJf .N~&nS&K-|`B@=@"nJfJg~`."l(N&H.N> ?. 9/N\\-H$"HA(00000$n(.NJg* *g>.N.NJf&./ NώX`RRC09BB9B@oRJf .N.NJf|.EG`BCB@30=@" n"fjJg.N~` .N "y.8Hn3"l NXC3.N.NC3.N.NRRF09BB9B@oh>-"l N"n.Hz NXJ.g&"l$"E.N.Hz NXNҬ`F"n.N`.N"n.N Jf:"l$"NE.N.HzNR.0.H/N2`"l$-Q|EK`nBCJ50f^>NÆ&HJg ."l(N*l$*U>/ NX<g>NJg"l$.?NxTJgl>NJg`$l$$R>"l N.N.N.N."l N./ "l N"l$."l(N"HR.S/"l NP`N"l$-QCB."lPN=@@f.N"lTN`"l$">"l N.Nň>-"l N"l$.HzN̾X"MT.N"l$"`J"l$-QC."lPN=@f.N"lTN`"l$"RRF09BB9B@o"l$">"l N.N>-"l N&l$&S>"l N.N>-"l N"l$./ "l N"l$-Q.HzbNP-HC."lPN6fF.N"n."l(NJg.`.N"l$."l8N"lTN`"lJg"lN./ "l N.Hz%NP"l$"E0 @g& @2g @gN @>g(`:E.H/NVX`?"lDNT`.H/N X>"lLN.N.HzNXN.N`$l$$R./ "l N.HzNP"l$""l$ Q -f""l$."l(NT$H"l$.HzN^X`.$l$$RT"l$."l N"l$.HzN8X"l$ U".N6|&"l$ Q +f~`Jg.Hza"l NXJ@f|.`JgN$l$$R>"l N>"l N."l4N>"l N>"l N./ "l(NX/"l NX`>/."l$/"lNP"l$.HzN|X~ND>0R@?/."l$/N޸O 6 CoRGJCoRF Cn Ff,4|D>? /."l$/NO 6Rnp0 Gnj` FobC.Hzr?N\4@6GRSD>? /."l$/N4O 6oS0 o0 @nD>? /."l$/NO GfE$`ZJFf.JGoE5`LEJ.NJg<.HzGNX`( Ff CoE7`EV` CoEn`E.N^.HzNnX"l$"N.NL@?NF>0S@?/?<?NO :>N(H.N*j$*U>"j N fGF`./ NX&H.N>-"j N Df "j$.Hz` Df"j$.Hz NļX"j$"&j$&S Df3>HzNXJg"j$.?NJTJfh.N"j$.?N.TJg .Nr`@.N"j$.?NTJg .NJ`.N>` Df3"j$"OL<8NuNVH8>NS@6>N8>N:yg3vEp`RCym>/9Nɀ$HA.Hn?9/9/ NOv(GI`@ f6> ? 9/N\0H)RDnf3nf3RRCym3>?9N3>?9NvX`.yg>?N`Tyg>?NDL8N^NuNVH<vE(Gr p J"K"""""@RCAm893vE`>/9N@X$RCDm>09R@?N&T#vEp`RCym>/9NC.Hn?9/9/NHOv(GI`@ f6> ? 9/NH\0H)RDnf3nf3RRCym3>?9N3>?9NX> NxvGIK`*>?/ N\$H0* f * RDRRRCymL<N^Nu SyAC"""""""""/9NǚXNuH N#xvGIK`20>? /N\$HA :/0RDRCyl Cm3NJg"z>NpO$L<8NuNVH $n6|&S.N6. k N @o`^.Hn k N.Hn k N$k$$RA. k(N> k$/NO k$ J@f`>NJgp`pL N^NuH84|$R(j$(T/ j(N&H?< j N?<"j N?<"j N/ / "j N?<"j NOLNuNVH<$n6|&S.NJg`.N6kym`>N(H f`f k$-P. k(N-HB@,>/ N"*H.N.N./ N.N ./."k NO >"k N>'"k N>"k N.N.N>`f"k$-Q."k(N-HB@,>/ N*H.N.N.N.NxN|./ N.Nd./."k NO >"k NNL>("k N>"k N>"k NN*`f./ N*k$*U.N B@,>/ N.N.N>"k N$k$$R"k$."k8N./ "k NO >"k NL<N^NuNVH<$n6|&S.NJg`.N6k޶ym`>N(H f`¹f k$-P. k(N-H./ N.N4B@,>/ N.N.N./."k N>"k N>'"k N>"k N./ NO.NN`$f"k$-Q."k(N*H./ N.NN"k$-Q"k$."k8N./."k N./ "k NB@,>/ NZ.N.NT>"k NNN>("k N>"k N./ NO.N>"k NN`jB@,>/ N"k$-Q.N.N./ N.N>"k N$k$$R"k$."k8N./."k NO >"k NL<N^Nu/6930yp09n<0y?NTRy0yp09n0y?NT3&NuAn error occurred while attempting to delete scale variable which does not contain an appropriate unit expression. Default units will be used.EEPro AdvisoryNVH$n6|&S(k$(Tp./ Hn k N.Hn k NO .N6>NJflA. kPNJ@fA.N"kTN`@"k$".N8C.N.N"LR.HzJNX"k$">?NLN^NuChecking variables now...eeprobeeanseeinputeeanstypeeansmatEEPro ErrorIndependent and dependent variables are the same.Undefined variablexxDECSolving for dependent variable now...eeprobeeanseeansmatUnable to define Pro(x)EEPro GrapherproPro(xmin)Pro(xmin)=>undefclrdraw:clrgraphmin(Pro(xmin),Pro(xmax))ymin:max(Pro(xmin),Pro(xmax))ymax:when(ymin=ymax,when(ymax>0, 2*ymax, when(ymax<0, 0, 1)),ymax)ymaxeetemp(pro(eetemp),eetemp)Graphing now...xresTmpxres:10xresgraph pro(x)Tmpxresxres:DelVar TmpxresZoomFitgraph pro(x) Undefined variablePxlText "",26,4:PxlText "",44,4Unable to resolve arbitrary # in solnUndefined variableNVH09S@?/09S@?//9N-HC.Hn?9/9/NO.N=@.N=@vG`@ng6ng0 f*>NJf.p/N~X>N`RRCym.N C.N C-M-n./ NXJgK`./.NXJgA-H.?<NT.N&j$&SCn."jPN6f*>"j N>"j N.Nh.NJ.N>"j N(j$(T.N"j$-Q.Nf` .̰gh`T"j$-Q"MS./."j N>"j N>"j N>"j N./ "j N./."j NO "j$.N*H f>"j N*j$*U"j$."j N"j$.Hz!N"j$""j$."j8N*j$*U"j$."j N"j$.HzNhP"j$""j$-Q>"j N."j4N>"j N*j$*UN n +fv`Z>/ /."jN"j$.HzNO v"j$ S-@"j$ Q f @ fRC."j(N-H g Cl,"j$".p/NXp#>N`p*@oCm.Hz3?N\:RC8SD>?/ "j$/NƾO J@kSEJEo Dn*j$*U>"j$/N2X"j$ Q f"j$S -f"MR./ "j NX>NJfp`pN./ "j NX.N.N>"j N>"j N>"j N.N.>"j N>"j N>"j N"j$."j"jLN"jJg"jN>?"jDN`C$."jPN6f"j$."j"jLNJf"j$ Q *gp`pJf j"j$ $QBF$@ 0`e j 0`c2 j$ $P $@f j$ P +g j$ P ,g JfJg j$ .Nt 9f&Jf"Jf.NX @ gp`pN 9gN`Nv 9f>(j$(T.N.Nr @f"j$.NJfp`p"j$"C."jPN8f^.NJg2.N.N6.N Cf.N` .Nz6.N Cf.p/NlX>N` Cf 9f.N*>"jN>"jN>"j N.N.N.N>-"j N>O"j N>"j N"j$."j"jN>#"jN>"j N.N0>-"j N>O"j N>"j N"j$."j?"jDNT 9f Cg6p"jt0yg>?9"jPNTN`N"jdNN`@"j$"Jg.p/NX`$.p/NX>N>N"j$">NL"j$/NO >NJfv. 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The users manual is on-line at http://www.dvtg.com/ticalcs/docs Tech support: support@dvtg.com Suggestions: improvements@dvtg.com Press F5:Info on top menu for more.ToolsH O4|$RJ/ygp>Hz jNX8f>Hzt?Hzf?Hz\?HzA`>Hz;?Hz#`>Hz?Hz`>Hz?Hz`>Hz?Hz?Hz? 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(b(S`.NJ(H g L`. k(N$H f`XLNuH8Y6|&S(k$(T.N$k$$R f S."k(N$H."kNp."k$/NP"k$"LNuH8$o6|&Svx(k$(T/ NXJg/ NX k"k$$QB@ 0f|p(& k$ P J@gj @g @g"`X k$ PBC( k$ $P  $@f@DC`< k$ PB@(H k$ PBB(B6f k$ $P  $@fDC`xv k$ ogp`0LNu%d useable solutions.Desired soln #? 1NVHx8.4|$Rp,@.?<2?< jNX:gH>?</. ?<p(???<? jNO6g>?<p???? jNO 6>HzRHn jLNA. j ND(.Hz1Hn j NOJCg$A.?<?< ?<?<? jNO 6JCg*p>??<Hz?<?<??<? jNO6JCgd`\.Hn j Np.Hnp??? jNO @ f2A.HnNX<J.f FmDnp`p@J.f> j\N nJ.gp`0LxN^NuH8$o6|&S?</ k N\(H g 0, @g0<` / kxNXLNu" "o4|$R`S g g jB@ 0(c0<`" jB@ "H e bp`p$ANuH 6/4|$R?NTJfp`(? jXN8? j N?"j N/"j4NO pLNu/2|"QJofp`l?/ i NTpkP nHЀ0;N:::::::>:>>>>>>>>>>>>>>:>>>>:p`p&NuH06/4|$R&j$&S?N/ j(N?< j$/Nh8 j$ ?N@OJg(? j N/?NPJg?NTJgp`pL NuNVH 4|$R?.N&j$&S/ j(N?< j$/N6 j$ ?NOJg? j N/?.NPJgp`pL N^NuH04|$R&j$&S o / j(N?< j$/NЄ j$ ?N^O Jgp`pL NuH<$o&o8|(T/ l(N*H/ l(NP(H`cgp`SSbgp`pL<NuH k0@g `BB re CCp`CC4? k NT`?<"k N/ N\L NuEEPro ErrorSorry, this version of EEPro only works when the calculator is using English. 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Hn j NA./.N$nN^NuOOXNuSplitFull/ 4|$RJ/ g. jdN"j ifHy"j0NXN`N"jdN"j ifA`A$_NuCanclKeyCANCLNVJ. gHzp. /NfpAN^NuInvrsInversJ/g"Jyfp`p3pJygA`ANuruxyzRUXYZH0$o6|&S/ k NX6 Cm CnHz/ k NPJf`0 @gp @g @g`"k*@1g *@ 4`*H BtfT k*B0 g>"k*1 g, kB0 gB `H Bxg&"kB1 gB `H Byf|jj`"k*B1 g k*0 fr"k*B1 g *B `*H Btfz kB0 gB `H Bxg$"kB1 gB `H Byf2|j` k*B0 g|jRL NuH8$o6/6|&Sn`:(JS/ k NX8Co8/ / k NP"k$ QJg ?<"k NTLNu0| P h$S//NXNup33Nu$ p3309 @g @g< @gR`PrEC`RAymAB@3`rEC`RAym$BNuDECAUTOH? /N\$H JC""""":/ 0 Ef * 0RDRCyl Cm3Jg>.?<N.?<NX"yN>N>NpOL<8NuH8NvGEIp`RCym3NRLNuH8O$o$6|&S.NJfpO`V(k$(T.N>"k$/NX>NJf"k$"pO`"k$."k(N./ "k NOpLNuH8O$o$6|&S.NJfpO`V(k$(T.N>("k$/NX>NJf"k$"pO`"k$."k(N./ "k NOpLNuH84|$R&j$&S//N(j$(T"KR/ N/ / "j NOLNuNVH<$n&n 6.8|(T. l N8 Dop` .Hn l NX@@$l$$R.NJf l$ p`. l(NA.N@Jf l$ p` l$"P -f l$S l$. l NJ@g l$. lNJ@f l$ p`> l N>"l NC."lPN8f"l$."l8N"lT`"l$" DYfp`@>"lLN*l$*UT"l$."l N"l$"."l NHðcp` ./ "l NpL<N^Nureal, <0H8$o&o8|(T g& f`<&l$&S f J ,g J +f/ lNX$l$$R/ "l|NX"l$"LNureal, 0H8Y$o&o8|(T g& f`N&l$&S f J ,g J +f. lN$l$$R."lNJf."l|NJfp`p"l$"XLNureal, >0H8$o&o8|(T g& f`<&l$&S f J ,g J +f/ lNX$l$$R/ "lNX"l$"LNureal, >=0H8$o&o8|(T g& f`<&l$&S f J ,g J +f/ lNX$l$$R/ "lNX"l$"LNureal, 1H8Y$o&o8|(T g& f`&l$&S f J ,g J +f. lN$l$$R."lNJ@gP."l4N>"l N>"l N>"l N>"l N"l$."l8Np."l$/NX`v"l$"XLNureal number$ " "o$o6|&S g$ f`4$kB@ e c f I +g !,gp`p&A$BNucomplex & Real>0H8Y$o&o8|(T g& f`Zp./ NXJgp`F&l$&S. lN"l$."l HNg p."l$"QS/ "l(NX/N|X"l$"XLNucomplex numberH8$o&o8|(T g& f`6Hx/ NPJgp`"&l$&S/ lN"l$/"l HNP"l$"LNumcmftinmmsmssnsps12_sHzkHzMHzGHzr/s_rs_Hz*2kr/s_krs_kHz*2Mr/s_Mrs_MHz*2VmVV6_VkVMV_MegaV6_VGV9_VAmAAnanoA9_ApA_picoA12_AfA15_ANkN3_NdynelbfPakPa3_PaMPa6_PaGPa9_PapsiK_KCFRm/s_ms_m/_scm/s_cms_cm/_sft/s_fts_ft/_sin/s_ins_in/_sft/min_ftmin_ft/_minraddeg/180._radgrad/200._radm^2_m2_m^2cm^2_cm2_cm^2mm^2_mm2_mm^2^2_2_^2in^2_in2_in^2ft^2_ft2_ft^2JkJ3_JeVcalergWmW_milliW3_WkWMW_megaW6_WhpGW9_WV/m_Vm_V/_mV/cm_VLm_V/_cmkV/cm_kVLm_kV/_cmkV/in_kVin_kV/_inkV/mil_kVmil_kV/_milcoulmcoul3_coulcoul6_coulncoul9_coulpcoul12_coulfcoul15_coulm^2/Vs_m2vs_m^2/(_V_s)cm^2/Vs_cm2vs_cm^2/(_V_s)kMG9_6_milli3_siemenskSiemens_kSm3_siemensMSiemens_MSm6_siemens1/K_x1degK1/_K1/C_x1degC1/_C1/F_x1degF1/_F1/R_x1degR1/_RA/Wb_AWb_A/_WbmA/Wb_mAWb_mA/_WbWb/A_WbJ_Wb/_AmWb/A_mWbJ3_Wb/_Am__mcm__cmin__inSm/m_Smm_Siemen/_mkSm/cm_kSmcm5_Siemen/_mkSm/mm_kSmmm6_Siemen/_mSm/in_Smin_Siemen/_inhenrymHHnHpH12_henryfH15_henryA/V^2_AV2_A/_V^2A/V^2_AV26_A/_V^2mA/V^2_mAV2_mA/_V^2kA/V^2_kAV2_kA/_V^2FmF3_FFnFpFfF15_FF/m_Fm_F/_mF/m_Fm_F/_mF/km_Fkm_F/_kmpF/km_pFkm_pF/_kmpF/mi_pFmi_pF/_miH/m_Hm_henry/_mmH/m_mHm_mH/_mH/km_Hkm_henry/_kmH/km_Hkm_H/_kmmH/mi_mHmi_mH/_miNm_Nm_N_mft*lbf_ftlbf_ft_lbf1/m^3_x1m31/_m^31/cm^3_x1cm31/_cm^3m^2/s_m2s_m^2/_scm^2/s_cm2s_cm^2/_s^2/hr_2hr_^2/_hrF/m^2_Fm2_F/_m^2F/cm^2_FLm2_F/_cm^2pF/cm^2_pFLm2_pF/_cm^2V_sqrtV_V^(1/2)WbTmT3_TV/s_Vs_V/_smV/s_mVs_mV/_sV/s_Vs_V/_sV/ns_Vns_V/_nsA/(m^2K^2)_Am2K2_A/(_m^2_K^2)A/(cm^2K^2)_Acm2K2_A/(_cm^2_K^2)mA/(cm^2K^2)_mAcm2K_mA/(_cm^2_K^2)1/m^4_x1m41/_m^41/cm^4_x1cm41/_cm^4C/m^2_Cm2_C/_m^2C/cm^2_Ccm2_C/_cm^2C/m^2_Cm26_C/_m^21/V_x1V1/_V1/mV_x1mV1/_mVC/m_Cm_C/_mmC/m_mCm3_C/_mC/m_Cm6_C/_mpC/cm_pCLm12_C/_cmA/m_Am_A/_mA/cm_ALm_A/_cmmA/m_mAm_mA/_mmA/cm_mALm_mA/_cmN/m_Nm_N/_mN/cm_NLm_N/_cmlbf/in_lbfin_lbf/_inK/W_KW_K/_WC/W_CW_C/_WF/W_FW_F/_WR/W_RW_R/_W/ "o fA`$i g J` / NX$_NuH 2|"Qv$o 2<` iA0g  `RCJfLNuNV-J$n2|"Q J0.H//. / i N/ N$nN^Nu0/"ykymNu?< ?/ NP hNuNVH$n6|&S. k N c`>/ HnN`P yfZxI`:BC4@>N>/HnN.A.Hn k NO J@f0`ZRD09BB9B@nB`v`4>N>/HnNA.Hn k NO J@f0` RCympLN^Nu does not contain an appropriate unit expression.NVH$n&n 8|(T fA`B@+>/ N.N.Hy l N. l N6|p./ Hn l N.Hn l NO$l$$R CnA.N0JfA`r l$"P -f JT. l N b *_fp`pf l$S l$. lNJ@fp`pJf JT.Hy l N l$ ALN^NuNVH<$n 6|&S fA`b./.NX*H _f R-@`-MBC*JCo2`*>/ N(H.N./ k NPJ@f-T`SCJCj nL<N^NuUnits conv. error - Will use default unitsNVH<$n&n 6.8|(TJ9g yf>N-Hf$l$$RT. l N J`T"l$-Q."l4N"l$.NJg(./ NX.N>"l N&l$&S`"nB@)>/ N.N.N>"l N&l$&S*K"l$."l4N./ NHP-HC."lPN8fCדּfN"l$-Q"l$."l8N$l$$R.NN*l$*U"l$."l8N./ "l N./."l NP>("l N>"l N"l$."l8NN`@$l$$R.NC~f./ "l NX>'`>"l N>"l N"l$."l8N"lT`` DYfT|p./ Hn"l N.Hn"l NC.N>?NO"l$""l$."l8`>"lLN$l$$R"l$."l N *_f:. .R/NX"l$""l$."l8N$l$$R"l$."l N./."l N nTL<N^NuNVH $n6|&S k$. k NJ@f" k$"P #f k$. kNNfp`$ f J ,g J +f U. k N`pL N^Nu_w_w_wNVtH<$n&n 6.8|(TJ9g yf>N-Hf . l4N`*l$*U-M."l4N>*"l$/NXJ@f2"l$">*"l N./ NpX.N>"l N`"l$.NJg"./ N@X.N>"l N`j"nB@)>/ N-H.N.N>"l N"l$-Q-n"l$."l4N./ NP-HC."lPN8fpC8fN"l$-Q"l$."l8N$l$$R.NN&l$&S"l$."l8N./ "l N./."l NP>("l N>"l N"l$."l8NN`Cfv.N>"l N$l$$R.N.N>"l N./."l NX>("l N>"l N.N>"l N`B$l$$R.NC刳f./."l NX>'`>"l N>"l N"l$-Q"l$."l8N"lT` DYfn|{p./ Hn{"l N.Hn{"l NC{.N>?N"l$"."l4N./ NO.N>"l N`"l$">"lLN./ "l N l$ PL<N^NuH<$o&o6/ 8|(T?NT*HJ9g g -b / l pNX`?/ / NlO NL<NuRECTANGULARREALREALRADIANNVH4|$R&j$&S>/. /.Nb(j$(T>&"j$/NO J@f"j$."j pN>N.?<N.Hy"j N\J@g >N>N"j$."j8N(j$(T"j$."j N>N.?<N.?<NX` "j$."j N./ "j NX"j$."j(NT$H n JLN^NuNV-C0| P?<_/. h N\"H f`! (f! fSp&.N^NuPopUnits errorPopUnits errorPopUnits errorH8O4|$R&j$&S j$. j(N(H j$"P g j$"P fl j$S j$"P fP j$. j(N. j NJ@g8NJg0> j N&j$&S"j$."j8N./ "j NOPp`>"j NpOL`C."jPN6f"j$S"j$ Q f("j$"QS."jNJ@f6.p/NX`""j$."jNJ@f.p/NX"j$."j N"j$."jNJ@g.p/NX"jTN`"j$" Cg >"jLN`pOL`pOLLNuPopUnits errorPopUnits errorPopUnits errorH0O4|$R&j$&S>&/ NXJ@g N*OL` j$"P fA. jPN6f j$S j$"P f( j$ PS. jNJ@f6.p/NX`""j$."jNJ@f.p/NX"j$."j N"j$."jNJ@g.p/NX"jTN` "j$" Cg >"jLN` pOL`pOL` g g"K !f +&f pOL`"KS."j(N."j4NNJf"j$"pOL`\"KW."j4NNJf"j$"pOL`:>&"j N>"j NB@>"j N./ "j(NX/"j NOPpL Nu: storage errorAn error has occurred while initializing a constant needed by EEPro. (The name of the constant is in the title of this dialog box.) Use VAR-LINK to examine the current status of the constant and use MEM to see how much RAM is free.NVH<$n6|&SACpQ(R$j*k$*UA. kPN6f..N"k$."k8NN"k$./ NX"kT``"k$" Cg CfHp./ Hn"k NC."k ND.HzHHn"k N.HnNO>"kLN"k$"L<N^NuName: Desc: real numberreal numberType: Disp units: nonenonenoneCalc units: NVH?</. ?p???? jN:.Hn j N>N&HA. j ND(./ Hn j NOJEg$A.?<?< ?<?<? jNO :.Hn j N>N-HA. j ND(./.Hn j NO JEg(A.?<0@ ??<?<? jNO :>N(H f -|` *l f -|`A.HxNX.Hn j NA. j ND(./.Hn j NO JEg*A.?<0@@ ??<?<? jNO :.Hn j NX f -|`J>NJg./ NX-H`.J,c ,C>/ NX.N-H`-|. j NJf-|A. j ND(./.Hn j NPJEg,A.?<0@ ??<?<? jNO :.Hn j NX g$J,c,C>/ NX.N -HA. j ND(./.Hn j NPJEg(A.?<NF ??<?<? jNO :JEgp.Hxp??? jNO > j\NL0000<0 Real=0 Imag>0000<0NumInt>0000<0Expr may not have undefined varsFor symb ans, enter undef var nameSymbolic value not useable hereNVH x4|$R>?. 9/NC""""",.&n.?<F?< jNO 6zJCg>?</. ?p???? jN8.Hn j NA. j ND(./ Hn j NOJDg$A.?<?< ?<?<? jNO 8.Hn j N&nA. j ND(./ Hn j NO JDg(A.?<0@ ??<?<? jNO 8.Hn j NXglA. j ND(.HzcHn j NPJDg*A.?<0@@ ??<?<? jNO 8JDg|.?<`Ngt0@flA. j ND(.HzHn j NPJDg*A.?<0@@ ??<?<? jNO 8JDg.?<` gD@f j\NL xN^NuEEPRO Icons(space) unknown: solve if possible  wanted: solve, then stop  known: user-defined  solution foundHzHzNPNuSolveSolveJfHzNXNuJ/g yNANuNVH$n6|&S?<?. / kNP(H f` / / kxNLN^NuH8Y$o6|&S. kNJ@g J`(kB@ e b`(kB@ e bS`(kB@ e& !b S.N(H g L`R. k(N$H`x(kB@ "e. (b(S`.ND(H g L`. k(N$H f`XLNuH8Y$o6|&S g f J`(kB@ e b`(kB@ e bS`(kB@ e& !b S.N(H g L`R. k(N$H`x(kB@ "e. (b(S`.ND(H g L`. k(N$H f`XLNuProArbsEEPRO Solver and GrapherArbitrary integer @%d in solution.Replace with what small integer #? 0ProArbsNVH<. 4|$Rz-|` f6Jfp`(j$(TBB=|@/./.?. j (N.`t"K!*j$*U.N"j$ Q g "j$"p`t|(j$(TS`4 f"L !g "j$"p`N,gp`pgBE,`Y gJgJf.?<2?<"jNX:g>?<Hz?<p(???<?"jNO<g>?<p????"jNO <D>HzhHn"jLNC."j ND(.HzZHn"j NOJFg$C.?<?< ?<?<?"jNO <JFg*p>??<Hz!?<?<??<?"jNO<.Hn"j NX><JFgp.Hnp???"jNO >>"j\N G g "j$"p`C.HnNX:J.f JEk Eo "j$"p`"j$S@>"j ND>"j N>"j N>"j N>"j N"j$.Hz_NX` "j$"p`N"j$"Nb/./.?."j (N./ "j N.U/ "j NO"j$.N&H f*pL* j N0SCJ@n./ "j NPLNuNVH<(n 4|$Rx&L`RDR> / j NX&H f Dox.0H@??< jNX<f`>?</.?<p???<? jNO>&Lz:| `p. j N6> / j NX(H g6 K CR&LPREDmJGgp.Hxp??? jNO > j\NLN>N`"yN ygO NuNVH $n6|&Sp.HyHn k NB@*BB*BS@6B@*S@>?<?N>09S@?0S@?p??"kNP// "k@N>/ "kN>Hn"k\NO`"C."k N>Hn"k\NXX@8CoC."k NJbƖDjRCC>?<C??<?"kNP// "kN>/ "kLNC.p?TC?/ "kN>/ "kLNL N^NuHyNXNu: H8$o6|&S/ k ND@@6A BD/ k NP: Cm& EnfA 0@fHz/ k NPUC yf(yH(tH`09 @g @gT @g @g` yg yf(y(tH`t yf|(yH(tH`X yf(yH(tH`> yfF(y (tH`$(y(tH`(y(tH`IH// / k NO L8Nu: H8$o6|&S/ k ND@@6ABD/ k NPJc CmHz/ k NPUC09 @g @gF @gt @g~` yf(y(tH`r yft(yH(tH`X yf(yH(tH`> yf@(y (tH`$(y(tH`(y(tH`I/ / k NPLNuRECTANGULARREALREALRADIAN(EEPro AdvisoryData length exceeds buffer size. The variable name will be displayed instead. The variable's value may be viewed with VAR-LINK using F6 or recalled to the author line of the HOME screen.""): data errorAn error has occurred while converting this variable's data for display. (The name of the variable is in the title of this dialog box.) There is something stored that EEPro can't make sense of. You may be able to correct the problem by deleting the variable._ERROR_Units Error_: : 1_ : 1 _ NVH<$n .6|&S|ABF yg yg yg yf|aAa.?.NTCa.N|"k$-QC."kPN6fnCa."k(N>"k$/"kNX&gB."kN(HJl g0> "k N(H yf .?NTJg>NJg|| -fS*L`S"MJ!g\` yfC.?/ HnaNO *H`>*/ NXJ@f >*"k `.NJg."k pN"k$."k8N(k$(T*k$*UT>&/ NXJ@f."k pN>N.?<N.Hy"k N\J@g >N>N"k$."k8N*k$*UT"k$."k N>N.?<N.?<NX`."k N>/ "k NX g>{/ "k NX fp`p@J.g.Hn"k NX."k N/Hn"k NXD@@:."k N>J.gRGJfN yfD yf:>? 9/N\"HA &. fp`p8@`0 @gTGJfNGlJJ.gC."k NHF.HzNH.HnaHn"k NO `0 @g0SEH.Hz.Hn"k NPH./ Hn"k NPC."k ND@@60 @gJCo.Hn"k NXSCJ.gJCo.Hn"k NX"kTN`j"k$" Cf"kJg"kNCa."k NDe.HzHna"k N.HnaNN.p/NOJg(J.f" yfIJg "y yfJ9gC."k NJc>N(H gJ,c>_Hn"k NX g*.Hn"k NX f.A/NXJg.HnaN` .HnaNX"H(IJg&C."k ND.HzHn"k NPC."k ND./ Hn"k NP"k$"AIB@Jg gC."k NJf`."k ND@@6."k N e Cm./ "k NXUCH.Hn/ "k N`F yf"*yCB@(m>NS@>?/ N\(P."k ND@@6 Cl`./ "k NUCH./ / "k NO J9g."k ND@@6(m ."k NJc Co./ "k NXJ@gxJg&./ "k NSCH./ / "k NO `N(m."k NJc<./ "k NSCH./ / "k N` yf(y*l."k ND@@6."k N eH.Hzt/ "k NPUCjvH./ / "k NPJ9g."k ND@@6*l ."k NJc Co./ "k NXJ@glJg:Af.`./ "k NXSCH./ / "k NP`.(l."k NJc./ "k NSCH./ / "k NLNJfv>N&HC."jPN6f.N"jT`L.Hn"j NC."j ND'./ Hn"j NC.HzNO>"jLNB@.>/. ?.N>\>N>N>N>NL N^NuNV?</. ?.NN^Nu: ""NVH8$n .6|&S.?.N(TCBD>N: yg yf(y(tHSEH(tX`$ yf(y(lSEH(tX`Ij."k ND@@8."k N e4 Dm../ "k NXUDJf Do./ "k NXSDH./ / "k NP."k N fJgp`p"@`JgC`C./ "k NL8N^NuNV/. ?.NN^NuNV-J$n / ?.N/ ?.Nx$nN^NuH 6/$o// ?N\Jyg / ?N \`D?/ ?NPLNuNV?</. ?.NN^NuH 6/ $oJyg/ ?N/ ?NZO ` / ?N\LNuChooseChoose ChooseH8O$oD6|&SAB@>N6 yf@>AB@? 9/N\(HA (o(8/&`* yf4 yC"""""(o89./ k NX f&. k N^ b.Hy k NX. k N c.Hy k NX`&. k ND./ Hy k NP>Hy?/ NO 8glAB@>?NT yf4CJf$vE0| pRCHmC@` yfO,LNuChooseScreen1Hy?9N\ACB@ 1gHz09H/NPNuHyNXNNNu ~=H Q6/$o/#ABE00Ap0PJk* n Ѐ0;N2 A"zB@0P|.?Nt`Jg.? yN` yfC :LtЂ"@|D>/ ?NL\`D>/ ?N\`Jyg.?N.?NX`jD>/ ?N\`XJg.? yN`@ yfC :tЂ"@|D>/ ?N\` .?NTPL8NuNVH<. 4|$RJ9f.p/NX>?<?.NX6y=@j 09n:yJ9fygJg`09BB9B@o:09S@t4.?< Hy"j N\09C˛`JCf yo8|`@09S@HH@B@H@f,09y49BA9AS@H@H@H°l8|D>G/ ?NZ\JgD."j N$09S@H@B@H@c(0 yC0 yC>:C/ "j NX&H g C0 I`p=@0y>C."j N<Hp09o< gJg>Hy"jNX0.ڐMR@Ht49mByf J9gp`p>Hy"jNXC09`"0.ڐMRCCS0.GSJgC.??<Hy"jNP0.C`$C09CSJg"yf J9gp`p>Hy"jNX0.ڐMR@Ht49l:0.CR.y>?MR@?Hy"jNP>Hy"jNXHp09l"F>?< ??Hy"j$NO 0 HgRB@9yS@6"jdN"j ig0BB9BS@6>0 H???Hy"j$NO >Hy"jN0.ALNT>?NTJ9g,09y>N,>09y?NTvGI`J9g09y@gJ9g09y@gxJ9f@J9gh09C"K tЂ"@ g0y49BA9ABo0>N4y09BA9A@n>?NTRCHp09mFp>?Hy"jlNO LNuH 4|$R jt6 j8yfjJDg`dp/?9 jN\6gN? jNp0/p/?9"jNp???Hy"jN6p0/p/?9"jNO LNuNV nf`N4.SBA2I"0AJ! A8p./. /NN^Nu H8O4|$RAC:/,yjy09S@>?<?NX6/.yjy09S@>?<?NXA0P00fBC1P10f20G?I?p?./ / j NPJ@f` ABD0P>?<?NXv<G`0CU@ K.?NTRCDo>?<?9NX`C.?N^TRCyo>NN3v(C1P0y`phBB@g8RDRCHmJDgL Do4vG`$0S@tj0BBBgp>??"jLNXRCDm>?<?"jLNXO LxNu NV`H<8.. 4|$RACs0y49BA9ABo`0y=@j 09n49SB>?<?.NXJgNCf>?N&Hg( g$:90y3>N*3`*."j N:ot`t n nJEoL yf 0R@3Hڕ"E ! gt`t n Cm>/"j\NX@ nJgUGYSSQH49BBDGGjRGGHǏ62jRAA=AA=CzI=|KC-I-|C-I0.=@-|JgF& 0.Hր"C.& 0.Hր"C"$ ԇ8.`Aj.p.Hns/NP nJg>N&Hgd g`690y3>N"H n 3p . n/Hn|"j NP|C|."j NH`("n"`p . n/Hn|"j NP|C|."j N64n Bn4.`tCH.HnsHn|"j NPC|."j N6n&G0|`SSCHon$ DP.Hn|/ "j Np ./4.ESB"n/ "j NOXnRXRE EmFJg>NNRC09Cv(GI`Jgtj"L8RDRRCymJgBJDg> Do(vtG`Jgp>??"jLNXRRCDm>?<?"jLNLHy"jLNXJ9fJ9gJJ9gBJ9g ."j0NNpJ9gN2p`J9f"J9fJ9fJ9gJgzJ9g689yk Hp09l>N>?NN\>09y?NTJ9gJ9fJg NLJ9gN*XLNuNVH6.4|$R8yjy09f`b>?<?NAB@0@=@C1@=@y=C0yS@=@>HnHy j@NLN^NuH 2/ 4|$RJ9ghJ9f`^ yB@(y69@JCo:Co2y/9 j0N?9?9/9/9"j0NONLNuJ9gJ9fNu?<NdTNuJ9gJ9fNu yB@(BB(BS@2QAJAnNu?N(TNuJ9gJ9fNu yB@(y29@JAnNu?NTNu/ 4|$RJ9gtJ9f`j yB@(yoP0/yB@(yl (3/9 j0N?9?9/9/9"j0NON$_NuJ9gJ9fNu?<N`TNuJ9gJ9fNu yB@(BB(BS@2QAJAnNu?N$TNuJ9gJ9fNu yB@(yJ@nNu?NTNuNVH4|$R09S@>?<?.NX=y09yS@=@=|B@9=@9yS@6"jdN"j ig0BB9BS@6>Hy"jN>?< ?9?Hy"j$N>?<09U@y??Hy"j$N0.D@>HnHy"jNLN^NuNVH4|$R09S@>?<?.NX=yB@9=@=|9=@9yS@6 jdN"j ig0BB9BS@60.>HnHy"jN>Hy"jN>?< 09U@y??Hy"j$N>?<?9?Hy"j$NLN^NuH O4|$RJ9gZJ9f` 09yl6vy. j0N>?9/9/9"j0NO N`p# yoJ9f`09y>NSy09yo8>N8pSyRy0yp09m@3`609y>N(09yR@>09y?NTvJffO LNuH O4|$RJ9g`J9f`&09yyl6vy. j0N>?9/9/9"j0NO N`p#J9f`09BB9Byo09y>NNpRySyjD09y`609y>N09yS@>09y?NTvJfFO LNuJ9fNup# yfNuJ9f 309yg$3?<NRTp`009y yl33NuJ9fNup#09BB9ByfNuJ9f 309yS@49HH@B@H@gd09yS@309BB9Byl099B309y?NVTp`f09y09BB9Byl099B309yR@3 yl3NuJ9fNup# yfNuJ9f 3p330yp09np`NuJ9fNup#J9f 309BB9B3099By49HH@B@H@op`09yR@3NuNVH 4|$Rp./.Hn j NA.N&j$&SC.N>"j$/NO >NJf. "j$/N"j$"L N^Nu%s%sVariable "%s" does not contain useable data. A default value of %s has been set.EEPro AdvisoryNVH$n6|&S(k$(Tvp./. Hn k NA.N>HnNO Jg"k$.?.NTJgvJgPC./ Hz"Hn"kLNC.N.HnHzHn"kLNC.HzENON"k$"LN^NuNVH4|$R./.Hn j NPA. j NIH@B@H@`>,Hn j NX&H fG`.N."j NReLN^Nu{}{%s}NVH 4|$Rp./.Hn j NA.N.HnNC.Hn"j N>HnNOC."j N8vGp ` [g ]fRRCDm .{g,.HnHn"j NC.HzIHn"jLNO.Hz6Hn"j N.HnHn"j NOC.NL N^NuAnalysis ErrorH 4|$RHy?<7?< jNP6gt?<?<Hz?<p???<? jNO8g"//?<?<?<?<? jNO8JDgHxHxp??? jNO? j\NTLNup#pNup#Nu3NNNuImpedanceAdmittanceSeriesParallelRLCRLRCLCRLC!!ConfigCircuit Config.ElementsElement CombinationFreqFrequency (Hz)RResistance ()LInductance (H)CCapacitance (F)ZZ_Impedance ()YY_Admittance (S)ZZ_,YY_/?<N6?<NXp0Sk nЀ0;N &Hjlv`x`V`4``Hz NX&NuFreq1000R1000RL.001(2**Freq*L*)C.000001(1/(2**Freq*C))R1000L.001R+(2**Freq*L*)1/(1/R+1/((2**Freq*L*)))R1000C.000001R+(1/(2**Freq*C))1/(1/R+(2**Freq*C))L.001C.000001(2**Freq*L*)+(1/(2**Freq*C))1/(1/(2**Freq*L*)+(2**Freq*C))R1000L.001C.000001R+(2**Freq*L*)+(1/(2**Freq*C))1/(1/R+1/(2**Freq*L*)+(2**Freq*C))ZZ_1/ZZ_YY_H 4|$R?<N6?<N8HzaHzX?<NN @f<.N*>NJf.HzNXN`.`.N>NJf.Hz8NXN`t.Hy"j N>HyNP.N6.N Cc.HzYNXN\` Cf.`.NNXLNu! ! Load TypeImp. or Admit.Is_Source Current (A)ZZ_Impedances {Z1,Zn}YY_Admittances {Y1,Yn}VL_Load Voltage (V)I_Element Currents (A)VL_,I_/?<N6?<NX CfHzNFX&NuZZ_Analysis ErrorNo impedances defined.0TmpShts:For i,1,dim(ZZ_):If ZZ_[i]=0:TmpShts+1TmpShts:EndFor:TmpShtsTmpShtsAnalysis ErrorMultiple shorts defined.For i,1,dim(ZZ_):If ZZ_[i]=0:iTmpSht:EndFor:approx(newList(dim(ZZ_)))I_:approx(Is_)I_[TmpSht]:0VL_:DelVar TmpShtapprox(Is_/exact(sum(1/ZZ_)))VL_:approx(VL_/exact(ZZ_))I_YY_Analysis ErrorNo admittances defined.approx(Is_/exact(sum(YY_)))VL_:approx(VL_*exact(YY_))I_H Y4|$R>N @f.N>NJf.HzNXN`.Hy"j N>HyNP.N6.N Cc.Hz,NXNP`V Cf.`>.`6.NF>NJf.HzNXN `.NNXLNu!!!!!!!!!!!!Load TypeImp. or Admit.Vs_RMS source voltage (V)Is_RMS source current (A)Zs_Source impedance ()Ys_Source admittance (S)ZL_Load impedance ()YL_Load admittance (S)VL_Load voltage (V)IL_Load current (A)PReal power (W)QReactive power (W)VI_Apparent power (W)pf angle ()PFLoad power factorPmaxMax. power available (W)ZLopt_Load impedence. for max. power ()YLopt_Load admittance for max. power (S)VL_,IL_,P,Q,VI_,,PF,Pmax,ZLopt_,YLopt_H ?<N6?<NX Cf0vE0| TRCHo`.vE0| TRCHov0|pRCHmHzBNXLNuVs_ undefinedZs_ undefinedZL_ undefinedVs_*ZL_/(Zs_+ZL_)VL_:Vs_/(Zs_+ZL_)IL_:real(Vs_*ZL_/(Zs_+ZL_)*conj(Vs_/(Zs_+ZL_)))P:imag(Vs_*ZL_/(Zs_+ZL_)*conj(Vs_/(Zs_+ZL_)))Q:abs(Vs_*ZL_/(Zs_+ZL_)*conj(Vs_/(Zs_+ZL_)))VI_:tan(Q/P):P/(P^2+Q^2)PF:abs(Vs_)^2/(4*real(Zs_))Pmax:conj(Zs_)ZLopt_Is_ undefinedYs_ undefinedYL_ undefinedIs_/(Ys_+YL_)VL_:Is_*YL_/(Ys_+YL_)IL_:real(Is_/(Ys_+YL_)*conj(Is_*YL_/(Ys_+YL_)))P:imag(Is_/(Ys_+YL_)*conj(Is_*YL_/(Ys_+YL_)))Q:abs(Is_/(Ys_+YL_)*conj(Is_*YL_/(Ys_+YL_)))VI_:tan(Q/P):cos()PF:abs(Is_)^2/(4*real(Ys_))Pmax:conj(Ys_)YLopt_Analysis Error/ ?<NT @fJ?<NTJfE~`?<NTJfEt`j?<NTJfEl`THzt`F?<NTJfE\`8?<NTJfET`"?<NTJfEL` HzTNX g/ Hz:NPN`N$_NuAC CircuitsImpedance CalcsVoltage DividerCurrent DividerCircuit PerformanceTOd D>2!5*xh7"!,4AY*b0(I;hADc,HB g  bCHpF@t(P 3ȁ4aDN@wi.#>r nL@fB3 a B8d83Bh<1\0@nD > ct*YY!!!!!!!!!!!!Input TypeCircuit Config.ZZ1_Y Impedance ()ZZ2_Y Impedance ()ZZ3_Y Impedance ()ZZA_ Impedance ()ZZB_ Impedance ()ZZC_ Impedance ()ZZA_ Impedance ()ZZB_ Impedance ()ZZC_ Impedance ()ZZ1_Y Impedance ()ZZ2_Y Impedance ()ZZ3_Y Impedance () ZZA_,ZZB_,ZZC_ZZ1_,ZZ2_,ZZ3_H ?< N?<NX @fHz`vE(0|\2@RDRCHoHzNXLNu(ZZ1_*ZZ2_+ZZ2_*ZZ3_+ZZ1_*ZZ3_)/ZZ1_ZZA_:(ZZ1_*ZZ2_+ZZ2_*ZZ3_+ZZ1_*ZZ3_)/ZZ2_ZZB_:(ZZ1_*ZZ2_+ZZ2_*ZZ3_+ZZ1_*ZZ3_)/ZZ3_ZZC_(ZZB_*ZZC_)/(ZZA_+ZZB_+ZZC_)ZZ1_:(ZZC_*ZZA_)/(ZZA_+ZZB_+ZZC_)ZZ2_:(ZZA_*ZZB_)/(ZZA_+ZZB_+ZZC_)ZZ3_?<NT @fHz`HzNXNNu!!!!!!!!!!V12_Ref. voltage across 12 (V)ZZ_Phase impedance ()V23_Voltage across 23 (V)V31_Voltage across 31 (V)V1N_Voltage across 1N (V)V2N_Voltage across 2N (V)V3N_Voltage across 3N (V)I1_Line current 1 (A)I2_Line current 2 (A)I3_Line current 3 (A)PPhase power (W)W12Wattmeter reading across 12 (W)W13Wattmeter reading across 13 (W) V23_,V31_,V1N_,V2N_,V3N_,I1_,I2_,I3_,P,W12,W13HzNXNu((1/2)+((3)/2))((1/2)+((3)/2))((1/2)-((3)/6))abs(exact(V12_))*abs(V1N_/exact(ZZ_))*cos(angle(exact(ZZ_)*(((3)/2)(1/2))))W1exact(V12_)*%sV23_exact(V12_)*%sV31_exact(V12_)*%sV1N_exact(V12_)*%s*%sV2N_exact(V12_)*%s*%sV3N_V1N_/exact(ZZ_)I1_:V2N_/exact(ZZ_)I2_:V3N_/exact(ZZ_)I3_:real(V12_*conj(V12_)/conj(ZZ_))/3P%s-%s2%s+%s3/ Y4|$R.HzHy jLN.N.HzHy"jLN.N.HzHy"jLN.N.HzLHzHy"jLN.N.Hz&HzHy"jLN.N.N.HzHzHy"jLN.N.HzHzHy"jLNOH.NNX$_Nu!!!!!!!VAB_Ref. voltage across AB (V)ZZ_Phase impedance ()VBC_Voltage across BC (V)VCA_Voltage across CA (V)IA_Line current A (A)IB_Line current B (A)IC_Line current C (A)PPhase power (W)WABWattmeter reading across AB (W)WACWattmeter reading across AC (W) VBC_,VCA_,IA_,IB_,IC_,P,WAB,WACHzNjXNu((1/2)+((3)/2))((1/2)+((3)/2))abs(VAB_)*abs((VAB_-VAB_*)/ZZ_)*cos(angle(ZZ_*(((3)/2)(1/2))))WAVAB_*%sVBC_VAB_*%sVCA_(VAB_-VAB_*%s)/ZZ_IA_(VAB_-VAB_*%s)*%s/ZZ_IB_(VAB_-VAB_*%s)*%s/ZZ_IC_real(VAB_*conj(VAB_/ZZ_))P%s%s%s-%sB%s%s%s+%sC/ Y4|$R.HzVHy jLN.N.HzAHy"jLN.N.Hz,Hy"jLN.N.HzHzHy"jLN.N.HzqHzHy"jLN.N.N.HzlHz;HzJHz Hy"jLN.N.Hz>Hz HzHzHy"jLNOX.NNjX$_NuPolyphase CircuitsWye  ConversionBalanced Wye LoadBalanced Load zyhgabzyhgabSeriesParallelConfigCircuit Config.RResistance ()ConfigCircuit Config.LInductance (H)ConfigCircuit Config.CCapacitance (F)ConfigCircuit Config.RResistance ()LInductance (H)ConfigCircuit Config.RResistance ()CCapacitance (F)ConfigCircuit Config.LInductance (H)CCapacitance (F)ConfigCircuit Config.RResistance ()LInductance (H)CCapacitance (F)!ConfigCircuit Config.ZZ_Impedance ()nPrim. to sec. turns ratioGyrator parameterrbBase resistance ()gmTransconductance (S) rbBase resistance ()Common base current gain!ZZ0_Characteristic impedance ()0Electrical length (radians)!ZZ0_Characteristic impedance ()0Electrical length (radians)!ZZ0_Characteristic impedance ()0Electrical length (radians)!!!!Parameter TypeParameter TypeParam 11_Parameter 11Param 12_Parameter 12Param 21_Parameter 21Param 22_Parameter 22!@FrequencyFrequency (Hz)Load_initial load ()Ladder elementZin_Input impedance ()I2/V1_Forward transfer admittance (S)I2/I1_Current transfer ratioPout/PinReal power gainV2/V1_Forward voltage transfer ratioV2/I1_Forward transfer impedance ()LadNetLadNetH0Y4|$R.NJg0 j$"P f$&j$&SSv` RC. j(N&H f0X`(> j N>"j N"j$.HzNPpL Nu %d: Unknown ElementNVHHzHn"kLNH.Hn/ "k NO."k ND@@:*k$*UNFmp`pf(k$(TS6` ."k(N(H0SC @n fH k"LB@! 0e"k LB@ 1c"L !f ,+g ,,fp`pfS.N-n-n=n/./.?."kNO N fp`pfDNZ NdJDo Dnp`pf H.?HyN\// "k NPJgH.HzV/ "k N"k$"L"j N09BB9BR@8 Dox6` >*"j N0RC @mSDIG`~BC>? /N\ hf >N>"j N>"j N>`6|yCy.?NTCy.NCy.NJf >*"j NSSD Dl|>"j N>"j N>"j N>"j N./."j N.?<N\C0."jPN6f"j$.HzNX"jT` Cf.H/NX`>"jLN>N"j$"NLN^NuLadNet[%d,%d]%s%sDelVar %s:%s%sParameter '%s' of Element %d does not contain useable data. A default value of %s has been set.EEPro AdvisoryNVH6. $n 6|&S(k$(T0T@>?.HzBHn kLN>? 9/NC""""".Hn k NA.NC.HnHzHn"kLNC.N>HnNO$Jg"k$.?NTJfXC./ HnHzHn"kLNC.N.?.HnHzHn"kLNC.HzNO"N"k$"LN^NuEdit 1Config:1000.R:.001L:.000001C:1000.ZZ_:100n:10.:1000.rb:1000.gm:1000.:1000.zz0_:/4.0:1Paramete:1000.Param11_:500.Param12_:500.Param21_:1000.Param22_/ 4|$R3p/Hz2Hy j NHy j ND/?9HyN\/Hy j NHzNO 09HSk2 n*Ѐ0;N 6Lbx"6J^#3`<#3``#3`#3`#3`#3`#3`#3`#3`v#3`b#3`N#3`:#3``#3?9NTp#Np##Cl##3Np#$_NuAddLadNetAddHp??Hy jNP6 Ce CcA`:9UEjz>NB(j$(TNN8Do:x&j$&SS` ."j(N&H0RDEm*j$*U>"j Nx>*"j NRD Do>"j N>"j N>"j N>"j N./ "j N"j$.HzNP"j$"AOlL<8NuEditEditNVxH<8|(T ynB@. >N`J. fA`69WC&l$&SNX@mA`$l$$RS` . l(N$H0SCJ@n f J f *fBC* Clv Cov>NYvK-|`^|BD50"n 1@fC.?NT`C.?NTC.N.HnNX."l(N$HRC09BB9B@n f"l$"SyL<N^NuLadNetDelDelH8Y4|$RJ/g ym69WC(j$(TN8Dlz&j$&SS` . j(N&H0SCJ@n./ j(NX/ j N"j$.HzNP"j$"RD309DoSy yl yl.N`A/XLNuOKJ/gNANuDelJ/g.09R@3 yl3?<NTNvANuH04|$R#&j$&SNT@?NT"j$"69E0|p`SSCHnL NuTmpTP11_TmpTP12_TmpTP21_TmpTP22_LadNet[1%s:0%s:0%s:1%s%s%d,1]%s%d,2]3%s%d,3]%s1/%s%d,3]%s3*TmpOmga*%s%d,3]%s/(TmpOmga*%s%d,3])%s6/(TmpOmga*%s%d,3])%s*TmpOmga*%s%d,3]%s33%s%d,3]+*TmpOmga*%s%d,4]%s1/%s%d,3]+/(TmpOmga*%s%d,4])%s36%s%d,3]+/(TmpOmga*%s%d,4])%s1/%s%d,3]+*TmpOmga*%s%d,4]%s36*TmpOmga*%s%d,3]+/(TmpOmga*%s%d,4])%s/(TmpOmga*%s%d,3])+*TmpOmga*%s%d,4]%s336%s%d,3]+*TmpOmga*%s%d,4]+/(TmpOmga*%s%d,5])%s1/%s%d,3]+/(TmpOmga*%s%d,4])+*TmpOmga*%s%d,5]%s3%s%d,3]%s1/%s%d,3]%s2%s%d,2]%s:1/%s%d,2]%s10%s%d,2]%s:1/%s%d,2]%s330%s:1/%s%d,3]%s:1/(%s%d,2]*%s%d,3])%s330%s:%s%d,2]/%s%d,3]%s:1/(%s%d,3])%s3/4cos(%s%d,3])%s:sin(%s%d,3])*%s%d,2]*%s:sin(%s%d,3])/%s%d,2]*%s:cos(%s%d,3])%s3/4tan(%s%d,3])*/%s%d,2]%s3/4tan(%s%d,3])*/%s%d,2]%s352523%s%d,3]Param11_:%s%d,4]Param12_:%s%d,5]Param21_:%s%d,6]Param22_:%s%d,2]Param11_Param12_Param21_Param22_TmpTP11_TmpTP12_TmpTP21_TmpTP22_Unknown ElementNVH 86.4|$RACACACACAC&y:9A.HnHnHnHzlHy jLN.N>HnHzZHy"jLN>HyN.N8>HnHz2Hy"jLN>HyNO40HSk, n"Ѐ0;N 4h >J#3.?<?N@X.N @f$C.?HnHzHy"jLNO`C.?HnHzHy"jLNO`#3.?<?NX.N @f$C.?HnHz5Hy"jLNO`,C.?HnHz%Hy"jLNO`#3.?<?NDX.N @f$C.?HnHzHy"jLNO`C.?HnHzHy"jLNO`#3.?<?N.?<?NP.N @f*C.?Hn?HnHzHy"jLNO`C.?Hn?HnHzvHy"jLNO`#3.?<?N,.?<?NP.N @f*C.?Hn?HnHz.Hy"jLNO`C.?Hn?HnHz#Hy"jLNO`V#3.?<?N.?<?NP.N @f*C.?Hn?HnHzHy"jLNO`C.?Hn?HnHzHy"jLNO`#3.?<?N.?<?N.?<?NO .N @f0C.?Hn?Hn?HnHzHy"jLNO`4C.?Hn?Hn?HnHzHy"jLNO`#3.?<?N@X.N @f$C.?HnHzaHy"jLNO`C.?HnHzGHy"jLNO`#3.?<?NC.?HnHn?HnHzHy"jLNO`6#3.?<?NrC.?HnHn?HnHzHy"jLNO`#3.?<?N".?<?NC.?Hn?HnHn?HnHnHzHy"jLNO*`|#3.?<?N.?<?NC.?HnHn?Hn?HnHnHzEHy"jLNO*`#3.?<?NN.?<?N>C.?HnHn?Hn?HnHn?Hn?HnHn?HnHzHy"jLNO@`#3.?<?N.?<?NC.?Hn?HnHzHy"jLNO`6#3.?<?Nr.?<?NbC.?Hn?HnHzHy"jLNO`#3.?<?N.?<?N.?<?N.?<?N>Hn?Hn?Hn?Hn?HnHzQHy"jLN>HyN.N.HzHzHzHz~HzqHzdHzW?<?NOX` .N`.N#3L 8N^NuNo ladder elements exist.Frequenc1000Load_1000REAL2*FrequencTmpOmgaDelVar TmpO11_,TmpO12_,TmpO21_,TmpO22_:Rename TmpTP11_,TmpO11_:Rename TmpTP12_,TmpO12_:Rename TmpTP21_,TmpO21_:Rename TmpTP22_,TmpO22_DelVar TmpI111_,TmpI112_,TmpI121_,TmpI122_:Rename TmpTP11_,TmpI111_:Rename TmpTP12_,TmpI112_:Rename TmpTP21_,TmpI121_:Rename TmpTP22_,TmpI122_DelVar TmpI211_,TmpI212_,TmpI221_,TmpI222_:Rename TmpO11_,TmpI211_:Rename TmpO12_,TmpI212_:Rename TmpO21_,TmpI221_:Rename TmpO22_,TmpI222_approx((TmpI111_)*(TmpI211_)+(TmpI112_)*(TmpI221_))TmpO11_:approx((TmpI111_)*(TmpI212_)+(TmpI112_)*(TmpI222_))TmpO12_:approx((TmpI121_)*(TmpI211_)+(TmpI122_)*(TmpI221_))TmpO21_:approx((TmpI121_)*(TmpI212_)+(TmpI122_)*(TmpI222_))TmpO22_(TmpO11_*Load_+TmpO12_)/(TmpO21_*Load_+TmpO22_)Zin_:1/(TmpO11_*Load_+TmpO12_)I2V1_:1/(TmpO21_*Load_+TmpO22_)I2I1_:abs(I2I1_)^2*real(Load_)/real(Zin_)PoutPin:Load_/(TmpO11_*Load_+TmpO12_)V2V1_:Load_/(TmpO21_*Load_+TmpO22_)V2I1_DelVar TmpI111_,TmpI112_,TmpI121_,TmpI122_,TmpI211_,TmpI212_,TmpI221_,TmpI222_,TmpTP11_,TmpTP12_,TmpTP21_,TmpTP22_,TmpO11_,TmpO12_,TmpO21_,TmpO22_,TmpOmgaH0Q4|$R&j$&SN߲8 j$ JDf$.H/NX>NN`.Hzh?<N.Hzd?<N.?<NON.N>Nt.Nv`,>N^.N.N.NRCDo.N.N>NvEGrp`RCym3p#3N>NNPL NuLow PassHigh PassBand PassBand EliminationCharBandpass Char.RTermination resistance ()f0Center or cutoff freq. (Hz)f1Attenuation freq. (Hz)dBAttenuation (dB)BandwidthBandwidth (Hz)RipplePass band ripple (dB)ElementsFilter elementelements[%d,1]&char(58)&string(elements[%d,2])protempprotempNVH<$n 6|&S>?.HzHn kLNO A.N(k$(T.NJg<*k$*UU k$ --f&`SJf. k ND.R/ / k NL<N^NuTmpNNVH 4|$R&j$&SHzNXJf` j$/N-n-n=n j$ /./.?. jNON g`NZ Nd?<?<?N?NPvE0|pRCHop3##pp#NL N^NunewMat(2,TmpN)Elements:For i,,TmpN,2:&string(exact(i))Elements[1,]:EndFor%s%s%s1%s"C"%sexact(i)%s%s:%s2%s"L"%sexact(i)%s%s%s%s%s1%s"L"%sexact(i)%s%s:%s2%s"C"%sexact(i)%s%s%s2*%s%s1%s"C"%sexact(2i-1)%s"L"%sexact(2i)%s%s:%s2%s"L"%sexact(2i-1)%s"C"%sexact(2i)%s%s%s2*%s%s1%s"L"%sexact(2i-1)%s"C"%sexact(2i)%s%s:%s2%s"C"%sexact(2i-1)%s"L"%sexact(2i)%s%sNV-J4|$RACAtCp`QA\CAMCAN @g @gZ @g @gA.HnHnHnHnHnHnHnHnHnHnHnHzHy jLNO4`A.HnHnHnHnHnHnHnHnHnHnHnHzHy jLNO4`A.HnHnHnHnHnHnHnHnHnHnHnHnHnHnHnHz`FA.HnHnHnHnHnHnHnHnHnHnHnHnHnHnHnHzHy jLNOD.N$nN^Nuf0*2*TmpW0:f1*2*TmpW1:bandwidt*2*TmpWBWABS(1.f1/f0)ABS(1.f0/f1)ABS((1.f1^2-f0^2)/(1.f1*Bandwidt))ABS((1.f1*Bandwidt)/(1.f0^2-f1^2))TmpWn/ 4|$RHz`N?<N\ @g @g @g @gHz``Hzg` Hzn`HzHy"j NPHzHy"j NHyNO $_NuTmpW0,TmpW1,TmpWBW,TmpWn,TmpEl,Tmp1,Tmp2,TmpN,TmpM,TmpK,TmpI,TmpEps,TmpGam,TmpA,TmpB,TmpG,TmpAold,TmpBold,TmpGoldHzNXNu?<N?<NX @nNudB20ripple3bandwidt25when(TmpWn<1.001,1,0,1)Invalid freq. ratios.max(1,int(int((ln(2.*(2*10^(dB/10.)-10^(ripple/10.)-1)/(10^(ripple/10.)-1))/(ln((TmpWn^2-1)+TmpWn)))/2.+1)/2.)*2+1)TmpN:TmpNListLen(10^(Ripple/10.)-1.)TmpEps:(1./TmpEps+(1./TmpEps^2.+1.))^(1./TmpN)TmpK:TmpK-1/TmpKTmpK:4.*sin(/(2.*TmpN))/(R*TmpK)Elements[2,1](TmpN-1)/2TmpM:For TmpI,1,TmpM:16.*sin(*(4.*TmpI-3.)/(2.*TmpN))*sin(*(4*TmpI-1)/(2*TmpN))/(TmpK^2+4*(sin(*(2*TmpI-1)/TmpN))^2)/(Elements[2,2*TmpI-1])Elements[2,2*TmpI]:16.*sin(*(4.*TmpI-1.)/(2.*TmpN))*sin(*(4*TmpI+1)/(2*TmpN))/(TmpK^2+4*(sin(*2*TmpI/TmpN))^2)/(Elements[2,2*TmpI])Elements[2,2*TmpI+1]:EndForElements[2,1]Elements[2,TmpN]:For TmpI,1,TmpN:Elements[2,TmpI]/(2.*f0)Elements[2,TmpI]:EndForFor TmpI,1,TmpN:1/(Elements[2,TmpI]*TmpW0^2)Elements[2,TmpI]:EndForElementsTmpEl:For TmpI,1,TmpN:TmpEl[2,TmpI]*TmpW0/TmpWBWElements[2,2*TmpI-1]:TmpWBW/(TmpW0^3*TmpEl[2,TmpI])Elements[2,2*TmpI]:EndForElementsTmpEl:For TmpI,1,TmpN:1/(TmpEl[2,TmpI]*TmpWBW*TmpW0)Elements[2,2*TmpI-1]:TmpEl[2,TmpI]TmpWBW/TmpW0Elements[2,2*TmpI]:EndForElementsElements:TmpN*2TmpN/ Y4|$R.Hz?<N.Hzw?<NO >N @o.HzZ?<N\N.Hy"j N>HyNP.NJ@g.N N`.NN.N.N.N>N @g @g @g`.`.`.N.Hy"j NX>N @m.Hy"j NX.NNNNX$_Nu?<N?<NX @n `NuFor i,,TmpN,2:(2.sin(((2i-1)*/(2.TmpN)))R)Elements[2,]:EndFordB20bandwidt25when(TmpWn<1.001,1,0,1)Invalid freq. ratios.max(1,round(abs(ln(2.*10^(dB/10.)-1.)/(2.ln(TmpWn))),0))TmpN:%s1%s%s/%s/TmpW0%si%s%s:%s2%s%s*%s/TmpW0%si%s%s%s1%s1./(%s/%s*TmpW0)%si%s%s:%s2%s1./(%s*%s*TmpW0)%si%s%s%s1%s(%s/%s)/TmpWBW%s2i-1%sTmpWBW/((%s/%s)*TmpW0^2)%s2i%s%s:%s2%s(%s*%s)/TmpWBW%s2i-1%sTmpWBW/((%s*%s)*TmpW0^2)%s2i%s%s%s1%s1/((%s/%s)*TmpWBW)%s2i-1%s((%s/%s)*TmpWBW)/TmpW0^2%s2i%s%s:%s2%s1/((%s*%s)*TmpWBW)%s2i-1%s((%s*%s)*TmpWBW)/TmpW0^2%s2i%s%s:ElementsElements:TmpN*2TmpNNV-J4|$RACACACp`QAyCAnCp`QASCAHC.Hz3?<Nd\>N @o.Hz?<N@\NL.Hy"j N>HyNP.NJ@g.NjN<`.NN*>N @g @gb @g @gC.HnHnHnHnHnHnHnHnHnHnHnHnHnHzHy"jLNO<`"C.HnHnHnHnHnHnHnHnHnHnHnHnHnHzHy"jLNO<`C.HnHnHnHnHnHnHnHnHnHnHnHnHnHnHnHnHnHnHnHnHnHzr`^C.HnHnHnHnHnHnHnHnHnHnHnHnHnHnHnHnHnHnHnHnHnHzHy"jLNO\.Hy"j NX>N @m.Hy"j NX.NNNN$nN^NuLow PassHigh PassBand PassTypeFilter Typef0Band cutoff (Hz)AMidband gain (dB)QQuality factorCCapacitor (F)RR1Resistor 1 ()RR2Resistor 2 ()RR3Resistor 3 ()RR4Resistor 4 ()RR5Resistor 5 ()CC1Capacitor 1 (F)CC2Capacitor 2 (F)CC3Capacitor 3 (F)CC4Capacitor 4 (F)CC5Capacitor 5 (F)RR1,RR2,RR3,RR4,RR5,CC1,CC2,CC3,CC4,CC5?<N?<NX @g @g @g `    Hz|NXNu1/(4*A*C*Q*f0*)RR1:4*(A+1)*C*Q^2CC2:1/(4*(A+1)*C*Q*f0*)RR3:A*RR1RR4:CCC5CCC1:A/(2*(2*A+1)*C*Q*f0*)RR2:CCC3:C/ACC4:(Q*(2*A+1))/(2*C*f0*)RR5Q/(2*A*C*f0*)RR1:Q/(2*(2*Q^2-A)*C*f0*)RR2:CCC3:CCC4:Q/(C*f0*)RR5Y>N @g @g @g.`.`.NNXNuFilter DesignChebyshev FilterButterworth FilterActive FilterRootsCoefficients  !!InputsInput TypesConstantConstant multiplierZeros ListZeros {R1,Rm} mmNumer ListNumer {Am,A0} mmH(s)_Transfer functionPFE_Partial fraction expansionConstant1Hs_,PFE_HzHzNL?<N?<NO @g`HzNXNuConstant1sZerosLisPolesLisdim(ZerosLis)dim(PolesLis)Constant/product(s_-PolesLis)Constant*product(s_-ZerosLis)/product(s_-PolesLis)Hs_NumerLisDenomLisdim(NumerLis)dim(DenomLis)Constant*polyEval(NumerLis,s_)/polyEval(DenomLis,s_)Hs_exact(Hs_)PFE_:expand(1.1(expand(PFE_))/1.1)PFE_"[Entry error]"Hs_:DelVar PFE_H Y4|$Rp&>N8.HzN|X.Np0 g`.N.N.Hy"j N>HyN.N8.Hy"j N>HyNO.NDo(JDf.`.Hy"j NX>HyNX 9f .Hz:`.N.N.Hy"j N>HyN.N8.Hy"j N>HyNO.N:JDo`Do\.Hy"j N>HyNP 9f .HzHy"j NP.NvJg.`.NNXL8NuGraphJ/gNANuGainPhaseXferTransfer functionIndepIndependent variableGraph TypeGraph Type-MinMin. frequency (r/s)-MaxMax. frequency (r/s)AutoscaleAutoscale vertical range?A-MinMin. amplitude (dB)A-MaxMax. amplitude (dB)Label GraphLabel graph?Full Screen GraphGraph on full or split screen? Xfer"Hs_"Indep"s_"Min0.1Max100000AMin10AMax10?< NHzHzNHzHzNHzHzNHzHzNHzHzNHzHzNO2NuAPPROXIMATEPxlText "",17,4:PxlText "",35,4:PxlText "Log( r/s)",46,3:PxlText string(ymax),4,4:PxlText string(ymin),%d,4PxlText "Gain (dB)",26,4PxlText "Phase (%c)",26,4yminAMin:ymaxAMax/ Y4|$R.?<NT 9f09@ >HzHy"jLNP.N>N @f.Hy"j NX`,"jdN"j ifpr`p>Hz>Hy"jLNP.N.N>NX$_NuXfer"Hs_"Indep"s_"XferIndepDefine Gain(x)=20log(abs(%s))|%s=10^xEEPro AdvisoryThe variable 'gain' is either locked or archived.Define Arg(x)=angle(%s)|%s=10^xEEPro AdvisoryThe variable 'arg' is either locked or archived.log(min)xmin:log(max)xmaxaminymin:amaxymaxClrDraw:ClrGraphxresTmpxres:10xres:TmpxresGraph Gain(x)Graph Arg(x):PxlText "Autoscaling",2,2:Tmpxresxres:DelVar Tmpxres:ZoomFitAnalysis ErrorUndefined variable. Usually this error is caused by graphing the Bode diagram before the transfer function Hs_ has been defined. F2:Analysis/ 5:Gain and Frequency/1:Transfer Function calculates Hs_.TmpxresTmpxresxres:DelVar TmpxresNVH<4|$R j$-PNR.Hz0?<N&.Hz)?<N&j$&ST.N(j$(TT.NK ."j N// "j NX// "j NXППR@6>"j N"j$"QR-I./ / / "jLNO"j$H֑"j$"C."jPN6f.N"jTN`0 Cg>"jLN.HzNX"j$"N~`h n"j$S"K."j N// "j NX// "j NXППR@6>"j N"j$"QR-I./ / / "jLNO "j$H֑"j$"CL."jPN6f.N"jTN`0 Cg>"jLN.HzANX"j$"N`"j$".N.N.N 9gN`N 9f.Hy"j NX` .N>N @f.`.Hy"j NX 9f.Hy"j NXNvC."jPN8f.NN"jTN`Bv0 @g @g`".HzNX`"jJg"jN>?"jDNT.NJg .N 9fJg6p"jt0yg>?9"jPNTN` "jdNNL<N^NuGain and FrequencyTransfer FunctionBode Diagram TimeTime signal {}FreqFrequency spectrumFreqHzNXNuTimedim(Time)TmpDim:For TmpK,0,TmpDim-1:(Time[TmpN+1]*^(2.***TmpK*TmpN/TmpDim),TmpN,0,TmpDim-1)Freq[TmpK+1]:EndFor:DelVar TmpDim,TmpN,TmpKHzjNHzgNPN Nu FreqFrequency spectrum {}TimeTime signalTimeHzNZXNuFreqdim(Freq)TmpDim:For TmpN,0,TmpDim-1:(1/TmpDim)*(Freq[TmpK+1]*^(2.***TmpN*TmpK/TmpDim),TmpK,0,TmpDim-1)Time[TmpN+1]:EndFor:DelVar TmpDim,TmpN,TmpKHz`N4Hz]NPNNuFourier TransformsFFTInverse FFTCascadeSeries SeriesParallel ParallelSeries ParallelParallel Series!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!Input TypeInput Param. TypeOutput TypeOutput Param. TypeParameter TypeParameter TypeVs_Source voltage (V)Zs_Source impedance ()ZL_Load impedance ()ConnectConnectionFirst Input TypeFirst Param. TypeSecond Input TypeSecond Param. TypeOutput TypeOutput Param. TypePrm 1 z11_P1 impedance V1/I1 (I2=0)Prm 1 z12_P1 impedance V1/I2 (I1=0)Prm 1 z21_P2 impedance V2/I1 (I2=0)Prm 1 z22_P2 impedance V2/I2 (I1=0)Prm 1 y11_P1 admittance I1/V1 (V2=0)Prm 1 y12_P1 admittance I1/V2 (V1=0)Prm 1 y21_P2 admittance I2/V1 (V2=0)Prm 1 y22_P2 admittance I2/V2 (V1=0)Prm 1 h11_P1 impedance V1/I1 (V2=0)Prm 1 h12_P1 parameter V1/V2 (I1=0)Prm 1 h21_P2 parameter I2/I1 (V2=0)Prm 1 h22_P2 admittance I2/V2 (I1=0)Prm 1 g11_P1 admittance I1/V1 (I2=0)Prm 1 g12_P1 parameter I1/I2 (V1=0)Prm 1 g21_P2 parameter V2/V1 (I2=0)Prm 1 g22_P2 impedance V2/I2 (V1=0)Prm 1 a11_P1 parameter V1/V2 (I2=0)Prm 1 a12_P1 impedance -V1/I2 (V2=0)Prm 1 a21_P2 admittance I1/V2 (I2=0)Prm 1 a22_P2 parameter -I1/I2 (V2=0)Prm 1 b11_P1 parameter V2/V1 (I1=0)Prm 1 b12_P1 impedance -V2/I1 (V1=0)Prm 1 b21_P2 admittance I2/V1 (I1=0)Prm 1 b22_P2 parameter -I2/I1 (V1=0)Prm 2 z11_P1 impedance V1/I1 (I2=0)Prm 2 z12_P1 impedance V1/I2 (I1=0)Prm 2 z21_P2 impedance V2/I1 (I2=0)Prm 2 z22_P2 impedance V2/I2 (I1=0)Prm 2 y11_P1 admittance I1/V1 (V2=0)Prm 2 y12_P1 admittance I1/V2 (V1=0)Prm 2 y21_P2 admittance I2/V1 (V2=0)Prm 2 y22_P2 admittance I2/V2 (V1=0)Prm 2 h11_P1 impedance V1/I1 (V2=0)Prm 2 h12_P1 parameter V1/V2 (I1=0)Prm 2 h21_P2 parameter I2/I1 (V2=0)Prm 2 h22_P2 admittance I2/V2 (I1=0)Prm 2 g11_P1 admittance I1/V1 (I2=0)Prm 2 g12_P1 parameter I1/I2 (V1=0)Prm 2 g21_P2 parameter V2/V1 (I2=0)Prm 2 g22_P2 impedance V2/I2 (V1=0)Prm 2 a11_P1 parameter V1/V2 (I2=0)Prm 2 a12_P1 impedance -V1/I2 (V2=0)Prm 2 a21_P2 admittance I1/V2 (I2=0)Prm 2 a22_P2 parameter -I1/I2 (V2=0)Prm 2 b11_P1 parameter V2/V1 (I1=0)Prm 2 b12_P1 impedance -V2/I1 (V1=0)Prm 2 b21_P2 admittance I2/V1 (I1=0)Prm 2 b22_P2 parameter -I2/I1 (V1=0)Prm O z11_P1 impedance V1/I1 (I2=0)Prm O z12_P1 impedance V1/I2 (I1=0)Prm O z21_P2 impedance V2/I1 (I2=0)Prm O z22_P2 impedance V2/I2 (I1=0)Prm O y11_P1 admittance I1/V1 (V2=0)Prm O y12_P1 admittance I1/V2 (V1=0)Prm O y21_P2 admittance I2/V1 (V2=0)Prm O y22_P2 admittance I2/V2 (V1=0)Prm O h11_P1 impedance V1/I1 (V2=0)Prm O h12_P1 parameter V1/V2 (I1=0)Prm O h21_P2 parameter I2/I1 (V2=0)Prm O h22_P2 admittance I2/V2 (I1=0)Prm O g11_P1 admittance I1/V1 (I2=0)Prm O g12_P1 parameter I1/I2 (V1=0)Prm O g21_P2 parameter V2/V1 (I2=0)Prm O g22_P2 impedance V2/I2 (V1=0)Prm O a11_P1 parameter V1/V2 (I2=0)Prm O a12_P1 impedance -V1/I2 (V2=0)Prm O a21_P2 admittance I1/V2 (I2=0)Prm O a22_P2 parameter -I1/I2 (V2=0)Prm O b11_P1 parameter V2/V1 (I1=0)Prm O b12_P1 impedance -V2/I1 (V1=0)Prm O b21_P2 admittance I2/V1 (I1=0)Prm O b22_P2 parameter -I2/I1 (V1=0)Zin_Input impedanceIout_Output currentVout_Thevenin voltageZout_Thevenin impedanceIgain_Current gainVgain_Voltage gainVgainAbsAbsolute voltage gainGPPower gainPmaxMaximum power at ZLoptZLopt_Optimum load impedance%s%s%s/%s%s1/%s%s%s/%s%s1/%s%s(%s*%s-%s*%s)NV\H<$n &n(n*n0|-PACpk`QACzpk`QAfCnpk`QAJCbpk`Q0. n 6./ / / HzHn n hLNOp0 k 7nЀ0;NpX@pXXppXpP@ 0`.Hn/ HzHn n hLN. Hn/ HzHnz n hLN.$Hn/ HzHnn n hLN.(Hn/ HzHnb n hLNO@`L./ HnHzHn n hLN. / / HzHnz n hLN.$/ / HzwHnn n hLN.(/ HzWHnb n hLNO<`./ Hz7Hn n hLN. / / Hz%Hnz n hLN.$/ / HzHnn n hLN.(/ HnHzHnb n hLNO<`l.Hn/ HzHn n hLN. Hn/ HzHnz n hLN.$Hn/ HzHnn n hLN.(Hn/ HzfHnb n hLNO@`./ / HzDHn n hLN. / HnHz(Hnz n hLN.$/ HzHnn n hLN.(/ / HzHnb n hLNO<`./ / HzHn n hLN. / HnHzHnz n hLN.$/ HzHnn n hLN.(/ / HzHnb n hLNO<`./ / HzdHn n hLN. / HnHzYHnz n hLN.$/ HzKHnn n hLN.(/ / HzHnb n hLNO<`./ / HzHn n hLN. / HzHnz n hLN.$/ HnHzHnn n hLN.(/ / HzHnb n hLNO<`4./ / HzHn n hLN. / HzHnz n hLN.$/ HnHzaHnn n hLN.(/ / HzGHnb n hLNO<`./ HnHz#Hn n hLN. / / Hz Hnz n hLN.$/ / HzHnn n hLN.(/ HzHnb n hLNO<`T./ HzHn n hLN. / / HzHnz n hLN.$/ / HzrHnn n hLN.(/ HnHzVHnb n hLNO<`./ Hz?Hn n hLN. / / HzHnz n hLN.$/ / HzHnn n hLN.(/ HnHzHnb n hLNO<`t./ HnHzHn n hLN. / / HzHnz n hLN.$/ / HzHnn n hLN.(/ HzHnb n hLNO<`./ / HzTHn n hLN. / HnHz8Hnz n hLN.$/ Hz;Hnn n hLN.(/ / HzHnb n hLNO<`./ / HzHn n hLN. / HnHzHnz n hLN.$/ HzHnn n hLN.(/ / HzHnb n hLNO<`$./ / HztHn n hLN. / HzeHnz n hLN.$/ HnHz@Hnn n hLN.(/ / Hz&Hnb n hLNO<`./ / HzHn n hLN. / HzHnz n hLN.$/ HnHzHnn n hLN.(/ / HzHnb n hLNO<`D./ / HzHn n hLN. / HzHnz n hLN.$/ HnHzqHnn n hLN.(/ / HzFHnb n hLNO<`./ / Hz$Hn n hLN. / Hz'Hnz n hLN.$/ HnHzHnn n hLN.(/ / HzHnb n hLNO<`d./ HzHn n hLN. / HzHnz n hLN.$/ HzHnn n hLN.(/ HzjHnb n hLNO0A.NCz.NCn.NCb.NL<N^Nu\/?<\NB@9?N6H\H^HPK B@9?N\6H6H7H8K9V&NuPrm1%c11_Prm1%c12_Prm1%c21_Prm1%c22_PrmO%c11_PrmO%c12_PrmO%c21_PrmO%c22_NVDH 4|$RB@9>N6B@9>N8GHCBCHCH>HzfHn jLNH>Hz\Hn jLNH>HzRHn jLNH>HzHHn jLNAHDBDHD0HH>Hz0Hn jLNAHDBDHD0HH>HzHnr jLNAHDBDHD0HH>HzHn] jLNAHDBDHD0HH>HzHnH jLNAH.Hn]HnrHnHnHnHnHn??NO`RNL N^Nu\/?<\NB@9?NX6H\H^HPK RSTUVWXYZ[T&NuPrmOz11_PrmOz12_PrmOz21_PrmOz22_Prm1%c11_Prm1%c12_Prm1%c21_Prm1%c22_%s-(%s*%s)/(%s+ZL_)Zin_:(%s*Vs_)/((%s+Zs_)(%s+ZL_)-%s*%s)Iout_:(%s/(%s+Zs_))*Vs_Vout_:%s-(%s*%s)/(%s+Zs_)Zout_:%s/(%s+ZL_)Igain_:(%s*ZL_)/(%s*ZL_+(%s*%s-%s*%s))Vgain_:abs(Zin_/(Zin_+Zs_)*Vgain_)VgainAbs:Vgain_*conj(Iout_)/conj(Iout_/Igain_)GP:abs(Vout_)^2/(4real(Zout_))Pmax:conj(Zout_)ZLopt_NVxH 4|$RApCA_CANCA=C|B@9>N6GHCBCHCH>HzHn jLNH>HzHn jLNH>HzHn jLNH>HzHn jLNA|.HnHnHnHnHnHnHn?<?NlC.HnHn|HnHnHnHn|HnHnHnHnHn|HnHnHnHnHn|HnHnHn|HnHnHnHzZHy"jLNO.NJNL N^Nu\/?<\NB@9?N6H\H^HPK B@9?N6HHH K! B@9?NP6H6H7H8K9P&NuPrm1%c11_Prm1%c12_Prm1%c21_Prm1%c22_Prm2%c11_Prm2%c12_Prm2%c21_Prm2%c22_PrmO%c11_PrmO%c12_PrmO%c21_PrmO%c22_TmpI111_TmpI112_TmpI121_TmpI122_TmpI211_TmpI212_TmpI221_TmpI222_(TmpI111_)*(TmpI211_)+(TmpI112_)*(TmpI221_)TmpO11_:(TmpI111_)*(TmpI212_)+(TmpI112_)*(TmpI222_)TmpO12_:(TmpI121_)*(TmpI211_)+(TmpI122_)*(TmpI221_)TmpO21_:(TmpI121_)*(TmpI212_)+(TmpI122_)*(TmpI222_)TmpO22_(TmpI111_)+(TmpI211_)TmpO11_:(TmpI112_)+(TmpI212_)TmpO12_:(TmpI121_)+(TmpI221_)TmpO21_:(TmpI122_)+(TmpI222_)TmpO22_TmpO11_TmpO12_TmpO21_TmpO22_TmpI111_,TmpI112_,TmpI121_,TmpI122_,TmpI211_,TmpI212_,TmpI221_,TmpI222_,TmpO11_, TmpO12_, TmpO21_, TmpO22_NVH x4|$RANC"""B@9>N6B@9>N8B@9>N:B@9>N<GHDBDHDH>HzHn jLNH>HzHn jLNH>HzHn jLNH>HzHn jLNAHEBEHE0XH>HzHns jLNAHEBEHE0XH>HzHn^ jLNAHEBEHE0XH>HzHnI jLNAHEBEHE0XH>HzrHn4 jLNAHFBFHF0hH>HzZHn jLNAHFBFHF0hH>HzBHn jLNAHFBFHF0hH>Hz*Hn jLNAHFBFHF0hH>HzHn jLN.HzHz HzHnHnHnHnE0@??N.Hz HzHzHn4HnIHn^Hns??NO Cf.`.NC.HnHn HnHz(HzHzHz?C?60NO .NLNL xN^NuTwo-Port NetworksConvert ParametersCircuit PerformanceConnected Two-Ports""""" V1Primary RMS voltage (V)V2Secondary RMS voltage (V)I1Primary RMS current (A)PP1Primary real power (W)nPrim. to sec. turns ratioQP1Primary reactive power (W)GcPrimary core conduct. (S)BcPrimary core suscept. (S)Nuwhen(V1*I1HyNP.NJ@f.NN`.NNX$_Nu""""""!!V1Primary RMS voltage (V)I2Secondary RMS current (A)PP1Primary real power (W)kVAkVA rating (kVA)V1RPrimary voltage rating (V)nPrim. to sec. turns ratioQP1Primary reactive power (W)RR1Primary resistance ()RR2Secondary resistance ()XX1Primary reactance ()XX2Secondary reactance () Nuwhen((kVA*1000/V1R*V1)^2-PP1^2<0,0,1,2)Analysis ErrorPP1 must be kVA*1000*V1/V1RI2/(kVA*1000/V1R)n:((kVA*1000/V1R*V1)^2-PP1^2)QP1:PP1/(2*(kVA*1000/V1R)^2)RR1:QP1/(2*(kVA*1000/V1R)^2)XX1:RR1/(I2/(kVA*1000/V1R))^2RR2:XX1/(I2/(kVA*1000/V1R))^2XX20| PHzHy h N?<HyNHyNOJ@fHzHzNPNNuHzNXNNu!! !!!!ZZ1_Primary impedance ()ZZ2_Secondary impedance ()nPrim. to sec. turns ratioGcPrimary core conduct. (S)BcPrimary core suscept. (S)Param A_A parameterParam B_B parameterParam C_C parameterParam D_D parameter Nu(1+ZZ1_*(Gc-Bc*))*nParamA_:(ZZ1_+n^2*ZZ2_*(1+ZZ1_*(Gc-Bc*)))/nParamB_:(Gc-Bc*)*nParamC_:(1+n^2*ZZ2_*(Gc-Bc*))/nParamD_Hz~NXNNuTransformer CalcsOpen Circuit TestShort Circuit TestChain Parameters!!!!!!!!!!!LSeries inductance (H/len)RSeries resistance (/len)GShunt conductance (S/len)CShunt capacitance (F/len)ZL_Load impedance ()dDistance to load (len)fFrequency (Hz)ZZ0_Characteristic impedance ()YY0_Characteristic admittance (S)Neper constant (1/len)Phase constant (/len)Wave length (len)vpPhase velocity (len/s)Zoc_Open circuit impedance ()Zsc_Short circuit impedance ()Reflection coefficientSWRStanding wave ratio NuAPPROXIMATEL.1R1G5C7ZL_25d1f60(R+L*2**f*)Tmp1_:(G+C*2**f*)Tmp2_:((Tmp1_)/(Tmp2_))ZZ0_:((Tmp2_)/(Tmp1_))YY0_:((Tmp1_)*(Tmp2_))TmpP_:real(TmpP_):imag(TmpP_):2*/:2**F/vp:ZZ0_/tanh(TmpP_*d)Zoc_:ZZ0_*tanh(TmpP_*d)Zsc_:(ZL_-ZZ0_)/(ZL_+ZZ0_):(1+abs())/(1-abs())SWR:DelVar Tmp1_,Tmp2_,TmpP_?<NHz?<NNHzHz?<NHzHz?<NHzHz?<NHz{Hzu?<NHzqHzi?<NHzdHz^?<NHzVHzP?<NHzGNORNNu!!!!!!!Zoc_Open circuit impedance ()Zsc_Short circuit impedance ()dDistance to load (len)fFrequency (Hz)RSeries resistance (/len)LSeries inductance (H/len)GShunt conductance (S/len)CShunt capacitance (F/len)ZZ0_Characteristic impedance ()YY0_Characteristic admittance (S)Neper constant (1/len)Phase constant (/len)vpPhase velocity (len/s)  Nu(Zsc_*Zoc_)ZZ0_:1/ZZ0_YY0_:(Zsc_/Zoc_)TmpR_:real(ZZ0_*tanh(TmpR_)/d)R:imag(ZZ0_*tanh(TmpR_)/d)/(2**f)L:real(tanh(TmpR_)/d/ZZ0_)G:imag(tanh(TmpR_)/d/ZZ0_)/(2**f)C:real(tanh(TmpR_)/d):imag(tanh(TmpR_)/d):2**f/imag((tanh(TmpR_)/d))vp:DelVar TmpR_HzNXNNu!!XinInput reactance ()RR0Character. resistance ()Phase constant (/len)docminMin. d to open (len)dscminMin. d to short (len)Numod(tan(RR0/abs(Xin)),)/docmin:tan(abs(Xin)/RR0)/dscminHzNXNNu!!!!!!!ZL_Load impedance ()RR0Character. resistance ()*d1First stub (dist. d1 from load)*d1-scShort circuit shunt stub (len. d1)*d1-ocOpen circuit shunt stub (len. d1)*d2Second stub (dist. d2 from load)*d2-scShort circuit shunt stub (len. d2)*d2-ocOpen circuit shunt stub (len. d2)Nureal(RR0/Zl_)TmpR:imag(RR0/Zl_)TmpI:(1-TmpR)^2+TmpI^2TmpS:tan((1-TmpR)/(TmpI+(TmpR*(TmpS))))d1:mod(tan((1-TmpR)/(TmpI-(TmpR*(TmpS)))),)d2:tan((TmpR/(TmpS)))d1sc:-tan(((TmpS)/TmpR))d1oc:-d1scd2sc:-d1ocd2oc:DelVar TmpR,TmpI,TmpSHzNXNNuTransmission LinesLine PropertiesLine ParametersFault Loc EstimateStub Imped Matching 0123456789ABCDEF b o d h   0128BODHX28BODHXH<$o$6|&Sp33/ k NX: Em "f 2"PgC $o $$ JQ$@`Zv((J2<`,  g" kA0g `4RD RRCEm@: *(f ElC $o $$ JQ$@`"k*B1 g *B `*H?Hz"k N\ fC $o $$ JQ$@`* 0g 1g` k*B0 g *B `*H?Hz k N\ g"JAVH0H3`C $o $$ JQ$@` *)gC $o $$ JQ$@`3` *0f 3 `, *6f 3`C $o $$ JQ$@` *)gC $o $$ JQ$@`3`X JCTH1H3 *)gC $o $$ JQ$@`J3`C&49B3 4yUB3 ydC $o $$ JQ$@`89RD(JK`d kB0 g ` 9o HB7`HB06Hp0lJCjC $o $$ JQ$@`RRD4SBBm yg,49TBp0/"J09R/ "JX/ "k NO |(CAYp0p|)3C o QL<8NuNV@-J4|$Rp33AN. jPNJ@f. HnN j NAN.NCN.Hn"j N>HnNNO "jTNCN.HnDNXC""J9g..HnN j NA.HnN j NPAN.NC $n$$ JQ$@$nN^NuTmpDec0TmpDec%lu4294967296*%lu+TmpDec18446744073709551616*%lu+TmpDec79228162514264337593543950336*%lu+TmpDecTmpDec%lu4294967296*%lu+TmpDec18446744073709551616*%lu+TmpDec79228162514264337593543950336*%lu+TmpDecTmpDec%lu1073741824*%lu+TmpDec1152921504606846976*%lu+TmpDec1237940039285380274899124224*%lu+TmpDec1329227995784915872903807060280344576*%lu+TmpDecTmpDecwhen(TmpDec>=2^BinModes[2],1,0,0)TmpDecmod(TmpDec,2^BinModes[2])NVH<$n6|&S=|.HzN.HnNnPC""J.fp`:.RE. k NU@6 n fF./ Hn k NA. k NHIA.HzNO `H nf|`~x~0| ` 210f؇އRSCEm0 Hm0g @g @g @g`*.HzT`.HzP`.Hz^`.HzvHn"kLNPC.HzNXRFEm Fl`t nfʛ|8`~v2|00|7`:X 29@o 2@HH`2@HI$"HBJ@jAHAAHBނXSDEm0 @ m0g @g @g @g`*.Hz`.Hz`.Hz`.HzHn"kLNPC.Hz!NXRFEm Fl`D~`|(8|2|00|7`>V 290o 20HH`20HI$ "HBJ@jAHAAHB܂ (@VDSCEm Dm0HkN nFЀ0;N "*.Hz`.Hz~`.Hz`.Hz`.HzHn"kLNPC.HzNXRGEm Gm4.Hn"k N>HnNP.NJ@g=|.HzNXJngp`pLHnN.Hn"k NO gp`VC.Hn"k N>HnNPC.N6 Cf0` .Hz4Hn"kLNPC.N0L N^NuJyf yS3`Syr09iAB@9@49aNuH6/ x`N0@BB8SCJCf0LNu"(_)0"0"NVH<4|$R.Hy j NCH09@Ay.Hy"j N.Np.HyHn"j N|.HnN(j$(T>HnNOJf A`"j$ Q"j$"Q! g  fJf"j$"A`:9  f&j$&SU*j$*UGS`B@F@>"j NSdBC0^@j^@@` >"j N0RCDDm>"j N>"j N yg4>"j N>"j N>"j N>"j N"j$."j8N"j$"Q!f"j$"A`"j$."j(N.S/ "j NX0^@j^@@G@m&j$&SS0^@j^@@v`D>"j NRRCGGm>"j N>"j N"j$."j(N./"j(NX/"j NX0j^@@H6@JCo(xr`SCJCn"j$"QU"j$"QDv0<`RC"j$"QJ)f@GmGGm"j$"A`A09@60.Hy j NXx,A@0 @g @gl @ g @gv`D&j$&ST j$. j N."j N/Hy"j NXПR c"j$"A`L."j ND./ Hy"j NP`&j$&SU*j$*UGS Jg  c7`00RDC  c7`04RDA -H0|r `D c7`00RD"n  c7`04RD"n SeHm Dm"j$"A`N0RDC`&j$&SU*j$*UGSB@H@mO=G#3`"=ES#GSGOG30.T@Hn6pC6>Ng0RDC00.ʐC6G-|`:"yRd "j$" K`z>NfFo0RD"n0WCJCo DmFf0RDC0 DlJCg"j$"A` 0RDC`&j$&SU*j$*UGSv`SCphBBBfJCn-|0|`zmgt1`t00RD"nSCJCkHm-|` zvkgp1`p04RD"n QSe Dm Dm"j$"A`b0RDC`"j$"A`B."j NT e"j$"A`.Hy"j N"j$"ALHnNOJg2|"."KT/ C/ "j N.Hn"j NO "j$"C.N6 CfC.N`C.HnN0L N^NuCarry, RangeFlagsexact(%d)BinModes[%d]:exact(%d)BinModes[%d]NV-J4|$R| yf.Hn j NX yf yf.Hn j NX yf.Hn j NXA.HzQN>?9?<?9Hz9Hn"jLNOC.N$nN^NuBinaryBinary1Binary2RealNum1.N1Bit0Result,FlagsYN.N.N.N.HzN.HzN.HzNO .NXNu binmodesNVH<84|$RvAC22222AC22222*j$*U> j N.N"j$-Q>/.NX>NJgv(j$(T"LS f*`&jB@ e c f"L !+g "L !,f.N-n-n=n/./.?."jNO NZNdNbN f Dm0@vn 0@=`vJf fp`p`v."j(N(HRE El f0Jf fp`pxGI0|8RDHm"j$"Jg`>"j NvG>"j N>"j N>"j NUQ>"j N./ "j NX>"j N"j$."j8N"j$"L<8N^NuDEC%dexact(%d)BinModes[%d]ModeH8Y4|$RJ/g4.?<NTNp ."jLN3g p .HyHy"j N>Hz?9"jXNT/"jLN.Hxp??Hy"jNO @ fp .HyHy"j NP>"jXN.N3vGI0R@>?Hz/ "jLNO .NTRC Cm>"j\NN8>NN`>"j\N>NAXLNu%d%dH 6/ 4|$R Cf` Cf 09` Cf?9 jXN/N\ @l"?<Hz?9 jXNT/ jLNO ?9 jXN/N\ @o"?<Hzm?9 jXNT/ jLNO 0<`0<LNuADDSUBMULTDIVRMDNEGABS  @Binary 1A based integerBinary 2A based integerOperatorAn OperationResultBinary function valueFlagsState of range and carry flagsBinary1Binary2Result,FlagsY>N>N @m N.NL.NBN\.NXNuBinary1TmpBN1TmpBN1Binary2TmpBN2TmpBN2when(TmpBN1<2^(BinModes[2]-1),1,0,0)when(TmpBN2<2^(BinModes[2]-1),1,0,0)TmpBN1+TmpBN2TmpDecwhen(TmpDec>=2^BinModes[2],1,0,0)when(TmpDec>=2^(BinModes[2]-1),1,0,0)when(TmpDec>=2^(BinModes[2]),1,0,0)TmpDec+1TmpDecmod(TmpDec, 2^BinModes[2])TmpDecwhen(TmpDec>=2^(BinModes[2]-1),1,0,0)TmpDec+1TmpDecTmpBN1-TmpBN2TmpDecwhen(TmpDec<0,1,0,0)when(TmpDec<0,1,0,0)mod(TmpDec, 2^BinModes[2])TmpDecwhen(TmpDec>=2^(BinModes[2]-1),1,0,0)TmpDec-1TmpDecmod(TmpDec, 2^BinModes[2])TmpDecwhen(TmpDec>=2^(BinModes[2]-1),1,0,0)TmpDec-1TmpDecmod(TmpDec, 2^BinModes[2])TmpDecwhen(TmpDec>=2^(BinModes[2]-1),1,0,0)mod(TmpBN1,2^BinModes[2])TmpBN1TmpBN1+1TmpBN1mod(TmpBN2,2^BinModes[2])TmpBN2TmpBN2+1TmpBN2TmpBN1*TmpBN2TmpDecwhen(TmpDec>=2^BinModes[2],1,0,0)when(abs(TmpDec)>=2^(BinModes[2]-1),1,0,0)mod(TmpDec, 2^BinModes[2])TmpDecmod(TmpDec,2^(BinModes[2]-1))TmpDecmod(TmpDec,2^BinModes[2])TmpDecTmpDec-1TmpDecTmpBN20TmpDecUndefined Resultmod(TmpBN1,2^BinModes[2])TmpBN1TmpBN1+1TmpBN1mod(TmpBN2,2^BinModes[2])TmpBN2TmpBN2+1TmpBN2exact(int(TmpBN1/TmpBN2))TmpDecremain(TmpBN1,TmpBN2)mod(TmpDec, 2^BinModes[2])TmpDecmod(TmpDec,2^(BinModes[2]-1))TmpDecmod(TmpDec,2^BinModes[2])TmpDecTmpDec-1TmpDecTmpBN20TmpDecUndefined Resultmod(TmpBN1,2^BinModes[2])TmpBN1TmpBN1+1TmpBN1mod(TmpBN2,2^BinModes[2])TmpBN2TmpBN2+1TmpBN2mod(abs(TmpBN1),abs(TmpBN2))TmpDecTmpDec+1TmpDecTmpDec-1TmpDecTmpBN1TmpDecmod(TmpBN1,2^BinModes[2])TmpDecTmpDec-1TmpDecmod(TmpDec, 2^BinModes[2])TmpDec:when(TmpDec=2^(BinModes[2]-1),1,0,0)TmpDecResultTmpDec,TmpBN1,TmpBN2H Q4|$RNN.N.N.N.N yfv(`|.Hy"j N>HyNP.N @fp`p.Hy"j N>HyNP.N @fp`p>NHSk nЀ0;N.N yfH.Hy"j N>HyNP.N @fp`p33` JgRJgN.Hy"j N>HyNP.N @fp`p33`ʶgj.Hy"j N>HyNP.N @fp`p3 yfp yfd.N`T.N.Hy"j N>HyNP.N @fp`p3 yf yf .N3`.N yfH.Hy"j N>HyNP.N @fp`p33`JgFJgB.Hy"j N>HyNP.N @fp`p3`2Jfp`pJft`tBgr.N.Hy"j N>HyNP.N @fp`p3 yf yf.N`Jfp`pC@gv.N.Hy"j N>HyNP.N @fp`p3 yf yf .N3`(.N.Hy"j N>HyNP.N @fp`p33`3Jf".N yf .NJf".N yf .N.N yfB.Hy"j N>HyNP.N @fp`p3`&.Hy"j N>HyNP.N @fp`p3.Nf.N`.N yf.N`.Hy"j N>HyNP 90f.N.N`Jf".N yf .NJf".N yf .N.N.Hy"j N>HyNP.NJ@fp`p33.Nf.N`.N yf.N`r.Hy"j N>HyNP 90f.N.N`Jf".N yf .NJf".N yf .N.NJf.N yf.N`3Jg.N`3.N yf .N.Hy"j NX yg* yf*>HyNX.N @f 3`3.HzWNX/Hy"j N.Hz@Hy"j NO.N.NNNPLNuSLSRRLRRRLCRRCASRSLNSRNRLNRRNRLCNRRCN   @BinaryA based integerNNumber of bitsCarry InCarry bit for rotatesOperatorAn OperationResultBinary function valueFlagsState of range and carry flagsmedian({0,N,BinModes[2]+1})NBinaryResult,FlagsHY>N8 Dg Dg D g D fp`p>NJg Dn `>Jf( Dn"`2Jf. Do(N.N.N,NF.NXLNu%dBinModes[4]BinaryTmpBNTmpBNDelVar TmpDec:Rename TmpBN,TmpDecTmpDec*2TmpDec:when(TmpDec>=2^(BinModes[2]),2,1,1)BinModes[4]:mod(TmpDec, 2^BinModes[2])TmpDecmod(TmpDec,2)+1BinModes[4]:int(TmpDec/2)TmpDecTmpDec*2TmpDec:when(TmpDec>=2^(BinModes[2]),2,1,1)BinModes[4]:TmpDec+BinModes[4]-1TmpDec:mod(TmpDec, 2^BinModes[2])TmpDecmod(TmpDec,2)+1BinModes[4]:int(TmpDec/2)TmpDec:TmpDec+(BinModes[4]-1)*2^(BinModes[2]-1)TmpDecwhen(TmpDec>=2^(BinModes[2]-1),1,0,0)TmpBit:TmpDec*2TmpDec:TmpDec+BinModes[4]-1TmpDec:TmpBit+1BinModes[4]:mod(TmpDec, 2^BinModes[2])TmpDecmod(TmpDec,2)+1TmpBit:int(TmpDec/2)TmpDec:TmpDec+(BinModes[4]-1)*2^(BinModes[2]-1)TmpDec:TmpBitBinModes[4]when(TmpDec>=2^(BinModes[2]-1),1,0,0)TmpBit:mod(TmpDec,2)+1BinModes[4]:int(TmpDec/2)TmpDecTmpDec+TmpBit*2^(BinModes[2]-1)TmpDecTmpDec*2^NTmpDec:mod(TmpDec, 2^(BinModes[2]+1))TmpDec:when(TmpDec>=2^BinModes[2],2,1,1)BinModes[4]:mod(TmpDec, 2^BinModes[2])TmpDecIf N>0 Then:int(TmpDec/2^(n-1))TmpDec:mod(TmpDec,2)+1BinModes[4]:int(TmpDec/2)TmpDec:EndIfIf N>0 Then:int(TmpDec/2^(BinModes[2]-N))TmpBits:TmpDec*2^N+TmpBitsTmpDec:mod(TmpDec,2)+1BinModes[4]:EndIfIf N>0 Then:mod(TmpDec,2^(N))TmpBits:int(TmpDec/2^(N-1))TmpDec:mod(TmpDec,2)+1BinModes[4]:int(TmpDec/2)+TmpBits*2^(BinModes[2]-N)TmpDec:EndIfIf (N>0 and n<=BinModes[2]) Then:int(TmpDec/2^(BinModes[2]-N))TmpBits:TmpDec*2+BinModes[4]-1TmpDec:mod(TmpBits,2)+1BinModes[4]:int(TmpBits/2)TmpBits:TmpDec*2^(N-1)+TmpBitsTmpDec:mod(TmpDec,2^BinModes[2])TmpDec:EndIfIf (N>0 and n<=BinModes[2]) Then:TmpDec+(BinModes[4]-1)*2^BinModes[2]TmpDec:mod(TmpDec,2^N)TmpBits:int(TmpDec/2^N)TmpDec:TmpDec+TmpBits*2^(BinModes[2]-N+1)TmpDec:when(TmpDec>=2^BinModes[2],2,1,1)1BinModes[4]:EndIfBinModes[4]TmpDecResultTmpDec,TmpBit,TmpBits/ Y4|$R 9fp`p>HzHy jLNP.NNN3.N.N.N>NHSk, n$Ѐ0;N"*2:BJhpx.`t.`l.`d.`\.`T.`L.N yg<.`..`&.`.`.`.`.N.Hy"j N>HyN.N3.HzuNfX/Hy"j N.Hz^Hy"j NO.N.NNnNX$_NuSBCBB?B  BinaryA based integerBit #Bit numberOperatorAn OperationResultBinary function valuemedian({0,exact(int(Bit)),BinModes[2]-1})BitBinaryResultY>N>N @f Nx.N.N.NXNuBinaryTmpBNTmpBNDelVar TmpDec:Rename TmpBN,TmpDecIf mod(int(TmpDec/2^Bit),2) 1:TmpDec+2^BitTmpDecIf mod(int(TmpDec/2^Bit),2) = 1:TmpDec-2^BitTmpDecmod(int(TmpDec/2^Bit),2)Result0Result:While TmpDec>0:Result+mod(TmpDec,2)Result:int(TmpDec/2)TmpDec:EndWhileTmpDecResultTmpDec/ Y4|$RNێN\.N.N.N>N @g @g @g @g`.`.`.`.N>N @g>N @fD.HzENѮX/Hy"j N.Hz.Hy"j NO.N.NNX$_NuReal to BinaryBinary to RealReal to IEEEIEEE to Real @BinaryA based integerReal Num.A real decimal numberFunctionA FunctionResultConverted valueBinaryResult?<N?<NX @g?<NT @f `N٤HzNHzNPNuexact(round(RealNum,0))TmpMant:when(BinModes[3]=1 and TmpMant<0,0,TmpMant,0)TmpMant:TmpMantBinaryTmpMantTmpMantwhen(TmpMant>=2^(BinModes[2]-1),1,0,0)mod(TmpMant,2^BinModes[2])TmpMantTmpMant+1TmpMantTmpMantBinModes[2]TmpBM2:32BinModes[2]when(RealNum=0,0,when(abs(RealNum)<1.4012984645,3,when(abs(RealNum)<1.1754943538,2,when(abs(RealNum)<3.4028234738,1,3),3),3),3)Domain error0TmpMantwhen(RealNum<0,2^31,0,0)TmpSign:exact(round((abs(RealNum)/2^(TmpExp-127)-1)*2^23,0))TmpMant:exact(floor(ln(abs(RealNum))/ln(2))+127)TmpExp:exact(TmpSign+TmpExp*2^23+TmpMant)TmpMantwhen(RealNum<0,2^31,0,0)TmpSign:0TmpExp:exact(round(abs(RealNum)*2^149,0))TmpMant:exact(TmpSign+TmpMant)TmpMantTmpMantTmpBM2BinModes[2]:DelVar TmpBM2BinModes[2]TmpBM2:32BinModes[2]BinaryTmpMantTmpMantTmpMantTmpDec0undefexact(TmpDec and 0h7FFFFF)TmpMant:exact(when((TmpDec and 2^31) = 0,1,1,1))TmpSign:TmpSign*(TmpMant/2^23)*2^(126)exact(TmpDec and 0h7FFFFF)TmpMant:exact((TmpDec and 0h7F800000)/2^23)TmpExp:exact(when((TmpDec and 2^31) = 0,1,1,1))TmpSign:TmpSign*(1+TmpMant/2^23)*2^(TmpExp-127)TmpBM2BinModes[2]:DelVar TmpBM20ResultTmpSign,TmpExp,TmpMant,TmpDecNVH4|$RN@N>N @g @g0 @g @gn`~.N.Nʸ.`h.N.N< yfv`>.Hy"j N>HyNP.N @fp`pJg".N yf .N.`693 .N.Hy"j N>HyNP.NJ@g @g @g.N.`.`.N.Nɔ.Hn"j NXC.NH3.N`(693 .N.N.N.Hn"j N>HnNPC.N(Jf.Hn"j NX` f.Hn"j NX`h f.Hn"j NX`L f.Hn"j NX`0f.`.Hn"j N>HnNP3.N`.Hn"j NX.Hn"j NXC.N.NNLN^Nu==<> Binary 1A based integerBinary 2A based integerOperatorAn OperationResultBinary function valueBinary1Binary2ResultY>NNЪ.N.NN.NXNu=<>Binary1TmpBN1TmpBN1Binary2TmpBN2TmpBN2when(TmpBN1>=2^(BinModes[2]-1),1,0,0)mod(TmpBN1,2^BinModes[2])TmpBN1TmpBN1+1TmpBN1when(TmpBN2>=2^(BinModes[2]-1),1,0,0)mod(TmpBN2,2^BinModes[2])TmpBN2TmpBN2+1TmpBN2TmpBN1=TmpBN2Result/ O4|$RACNN.N.N.N.N yg.Hy"j N>HyN>HyNO .N @f".N yf .N.Hy"j N>HyN>HyNO .N @f".N yf .N.Hy"j N>N>HyNPNO $_NuMintermsMinterms {m,m}Don't CareDon't cares {d,d}VarsVariables ABCPrime Impl.Prime implicant expression/"D E"/xzv $` gRDڅRBCe0*( &NuH0O$o,6/0|*(&JPtr`.A@J@g 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(mTl?,1 q,hpCE{`8π"x Lܼg "IQ HA"h@ "8m&,@DpH\ae|HW (9 @pX8 " @1e& *S(7`&@:%h@q lkb^9XaQ &DJ%3dqc dmATB0 _+}}qPQX$+0 +0@18 Pن 7-e(fA2T* B5#"h_UAT8u&S#5KHM}pf8H^1גL"߈eui^3nC DT Bj 0^2x,5jhFxʌ{N D6XHd +toGhTf6a#NOQZDD(ĝ(ˆ#<@q#sdX`2I P@9kDLR-4p <FP5㲁كu߻H5FTgP ڟa@>@PA+7PP[PՉPQPQp,p@)@E@E@D@)?@ )?D#D@!UT ) BUT#@D@T)?@D @)?@@@)@ `p pPP[PՉPQPQd _P? @C0D?O!Uف@dO$P:|("QPo"0e(i/tKK EO,got @Pt*faFhD  a:Br$"@TX,)3KZd@BADшuAbB:DDȼJtf` Z!#w@pT"6+:G !@M@ ",22"rD?3p: 0 +04 `  @ x$ $@@48@O@T$@(@ $( 9A Ap  @ @O  b B @B PB@  @ A  x<~@`     AA$$ DD8H @ 8@HH@@( (HP 0 0 P   Temperature coeff.AAreaGConductanceICurrentIlLoad currentIsCurrent sourcelenLengthPPowerPmaxMax. power in loadResistivityRResistanceRR1Resistance at T1RR2Resistance at T2RlLoad resistanceRlmMatch load resistanceRsSource resistanceConductivityT1Temperature 1T2Temperature 2VVoltageVlLoad voltageVsSource voltageR=*len/AResistanceG=*A/lenConductanceG=1/RConductance=1/ConductivityV=I*ROhm's LawP=V*IP=I^2*RP=V^2/RP=V^2*GR=1/GRR2=RR1*(1+*(T2-T1))Vl=Vs*Rl/(Rs+Rl)Il=Vs/(Rs+Rl)P=Il*VlPmax=Vs^2/(4*Rs)Rlm=RsIs=Vs/RsVs=Is*Rs 9,*raRadiusAArearbOuter radiusCCapacitanceclCapacitance/lengthdSeparationEElectric fieldrRelative permittivityErRadial electric fieldEzElectric field along z axisFForce on plateQChargerRadial distancelLine chargesCharge densityVPotentialVzPotential along z axisWEnergy storedzz axis distance from disk0_0Er=Q/(4**0*r*r^2)V=Q/(4**0*r*r)Er=l/(2**0*r*r)Ez=s/(2*0*r)*(1-(abs(z)/(ra^2+z^2)))Vz=s/(2*0*r)*((ra^2+z^2)-abs(z))E=V/dC=0*r*A/dQ=C*VF=1/2*V^2*C/dW=1/2*V^2*Ccl=*0*r/cosh(d/(2*ra))V=l/(2**0*r)*ln(rb/ra)Er=V/(r*ln(rb/ra))cl=2**0*r/ln(rb/ra)V=Q/(4**0*r)*(1/ra-1/rb)Er=Q/(4**0*r*r^2)C=4**0*r*ra*rb/(rb-ra)%%%.-5 aLoop radius or sideblSide b of loopBMagnetic fieldBxMagnetic field, x axisByMagnetic field, y axisSkin depthdStrip widthDCtr.-ctr. wire spacingfFrequencyFwForce between wiresICurrentI1Current in line 1I2Current in line 2IsCurrent in stripLInduc. per unit lengthL12Mutual inductanceLsLoop self-inductancerRelative permeabilityrRadial distanceraInner radiusrbOuter radiusrr0Wire radiusResistivityAngleReffEffective resistanceT12Torquexx axis distanceyy axis distancezDist. to loop z axis0_0B=0*I/(2**r)Bx=0*Is/(2*)*(tan((x+d/2)/y)-tan((x-d/2)/y))By=0*Is/(4*)*ln((y^2+(x+d/2)^2)/(y^2+(x-d/2)^2))Fw=0*I1*I2/(2**D)Bx=0/(2*)*(I1/x-I2/(D-x))L=0/(4*)+0/*cosh(D/(2*a))B=0*I*a^2/(2*(a^2+z^2)^3)Ls=0*a*(ln(8*a/rr0)-2)L12=0*a*cos()/(2*)*ln((bl+d)/d)T12=0*a*sin()/(2*)*I1*I2*ln((bl+d)/d)L=0/(8*)+0/(2*)*ln(rb/ra)=1/(*f*0*r/)Reff=(*f*0*r*)(% A0Richardson's constantBMagnetic fielddDeflection tube diameterfFrequencyf0Critical freq.IThermionic currentLDeflecting plate lengthLsBeam length to destinationWork function voltagerRadius of circular pathSSurface areaTTemperaturevVertical velocityVaAccelerating voltageVdDeflecting voltageyVertical deflectionydBeam deflection on screenzDistance along beam axish_hq_qme_mek_kv=(2*(q/me)*Va)r=me*v/(q*B)yd=L*Ls/(2*d*Va)*Vdy=q*Vd/(2*me*d*v^2)*z^2I=A0*S*T^2*^(q*/(k*T))h*f=q*+1/2*me*v^2f0=q*/h777CC3Capacitance, arm 3CC4Capacitance, arm 4CsSeries capacitorCxUnknown capacitorDBAttenuator lossfFrequencyIgGalvanometer currentImaxMax. currentIsenCurrent sensitivityLxUnknown inductanceQQuality factorRR1Resistance, arm 1RR2Resistance, arm 2RR3Resistance, arm 3RR4Resistance, arm 4aResistance multiplierRadjAdjustable resistorbResistance multipliercResistance multiplierRgGalvanometer resistanceRjResistance in seriesRkResistance in parallelRlResistance from left (must be > Rr)RmMeter resistanceRoTerminating resistanceRrResistance from right (must be < Rl)RsSeries resistanceRseSeries resistanceRshShunt resistanceRxUnknown resistanceVmVoltage across meterVmaxMax. voltageVsSource voltageVsenVoltage sensitivityRadian freq.Rsh=Rm*Isen/(Imax-Isen)Rs=(Vmax-Vsen)/IsenIsen=Vs/(Rs+Rm+Radj/2)#define eegalv(rrx,rr2,rr3,rr4,rrg,rrs,vs)=Func:Local rra,rrb,rrc,vb,rg34,rx2ab:rrg+rr3+rr4rg34:rrg*rr3/rg34rra:rrg*rr4/rg34rrb:rr3*rr4/rg34rrc:rrx+rr2+rra+rrbrx2ab:vs*(rrx+rra)*(rr2+rrb)/rx2ab/(rrs+rrc+(rrx+rra)*(rr2+rrb)/rx2ab)vb:vb*(rrx/(rrx+rra)-rr2/(rr2+rrb)):return:endfunc yf /:NXNuRx/RR2=RR3/RR4Vm=eegalv(Rx,RR2,RR3,RR4,Rg,Rs,Vs)Ig=Vm/Rg#Cx=((RR3/RR1)-(Rs/Rx))*CsCx=1/(^2*Rs*Rx*Cs)f=1/(2/*Cs*Rs)=2**f#Lx=RR2*RR3*CsRx=RR2*RR3/RsQ=*(Lx/Rx)Q=*Cs*Rs=2**f#Lx=CC3*RR1*RR4Rx=CC3*RR1/CC4-RR2#a=(10^(DB/20)-1)/(10^(DB/20)+1)b=2*10^(DB/20)/(10^(DB/10)-1)c=(10^(DB/20)-1)#Rj=Rl-Rk*Rr/(Rk+Rr)Rk=(Rl*Rr^2/(Rl-Rr))DB=20*LOG(((Rl-Rr)/Rr)+(Rl/Rr))#77CCapacitorCsSeries capacitanceCpParallel capacitancefFrequencyiCCapacitor currentiLInductor currentI0Initial inductor currentLInductanceLpParallel inductanceLsSeries inductanceQpQ, parallel circuitQsQ, series circuitRResistanceRpParallel resistanceRsSeries resistanceTime constanttTimevCCapacitor voltagevLInductor voltageV0Initial capacitor voltageVsVoltage stimulusRadian freq.WEnergy dissipated=L/RvL=I0*R*^(t/)iL=I0*^(t/)W=1/2*L*I0^2*(1-^(2*t/))=R*CvC=V0*^(t/)iC=V0/R*^(t/)W=1/2*C*V0^2*(1-^(2*t/))=L/RvL=(Vs-I0*R)*^(t/)iL=Vs/R+(I0-Vs/R)*^(t/)=R*CvC=Vs+(V0-Vs)*^(t/)iC=(Vs-V0)/R*^(t/)=2**fQs=*Ls/RsRp=(Rs^2+^2*Ls^2)/RsLp=(Rs^2+^2*Ls^2)/(^2*Ls)Qp=Rp/(*Lp)Rs=^2*Lp^2*Rp/(Rp^2+^2*Lp^2)Ls=Rp^2*Lp/(Rp^2+^2*Lp^2)Rp=Rs*(1+Qs^2)Lp=Ls*(1+1/Qs^2)Rs=Rp/(1+Qp^2)Ls=Qp^2*Lp/(1+Qp^2) =2**fQs=1/(*Rs*Cs)Rp=Rs*(1+1/(^2*Rs^2*Cs^2))Cp=Cs/(1+^2*Cs^2*Rs^2)Qp=*Rp*CpRs=Rp/(1+^2*Rp^2*Cp^2)Cs=(1+^2*Rp^2*Cp^2)/(^2*Rp^2*Cp)Rp=Rs*(1+Qs^2)Cp=Cs/(1+1/Qs^2)Rs=Rp/(1+Qp^2)Cs=Cp*(1+Qp^2)/Qp^2 :26' 11Neper's frequencyA1ConstantA2ConstantBSusceptanceB1ConstantB2ConstantBCCapacitive susceptanceBLInductive susceptanceCCapacitanceD1ConstantD2ConstantfFrequencyGConductanceI0Initial inductor currentLInductancePhase angleRResistances1Char. freq. 1s2Char. freq. 2s1iChar. freq. 1 (imag.)s1rChar. freq. 1 (real)s2iChar. freq. 2 (imag.)s2rChar. freq. 2 (real)tTimevCapacitor voltageV0Initial capacitor voltageRadian freq.dDamped resonant freq.0Classical resonant freq.XReactanceXXCCapacitive reactanceXLInductive reactanceYmAdmittance magnitudeZmImpedance magnitudeabs(Zm)^2=R^2+X^2=tan(X/R)X=XL+XXCXL=*LXXC=1/(*C)=2**f"abs(Ym)^2=G^2+B^2=tan(G/B)G=1/RB=BL+BCBL=1/(*L)BC=*C=2**f"s1r=real(+(^2-0^2))s1i=imag(+(^2-0^2))s2r=real(-(^2-0^2))s2i=imag(-(^2-0^2))0=(1/(L*C))=1/(2*R*C)"0=(1/(L*C))=1/(2*R*C)d=(0^2-^2)v=B1*^(*t)*cos(d*t)+B2*^(*t)*sin(d*t)B1=V0B2=/d*(V0-2R*I0)"=1/(2*R*C)0=(1/(L*C))v=D1*t*^(*t)+D2*^(*t)D1=I0/C+*V0D2=V0"s1=+(^2-0^2)s2=-(^2-0^2)0=1/(L*C)=1/(2*R*C)v=A1*^(s1*t)+A2*^(s2*t)A1=(V0*s2+1/C*(V0/R+I0))/(s2-s1)A2=(V0*s1+1/C*(V0/R+I0))/(s2-s1)"2 11143BSusceptanceCCapacitancefFrequencyGConductanceIInstantaneous currentImCurrent amplitudeLInductanceImpedance phase angle1Phase angle 12Phase angle 2yAdmittance phase anglezImpedance phase angleRResistanceRR1Resistance 1RR2Resistance 2tTimeVTotal voltageVCVoltage across capacitorVLVoltage across inductorVmMaximum voltageVRVoltage across resistorRadian freq.XReactanceXX1Reactance 1XX2Reactance 2Y_complex AdmittanceYmAdmittance magnitudeZ_complex ImpedanceZ1mImpedance 1 magnitudeZ2mImpedance 2 magnitudeZmImpedance magnitudeI=Im*sin(*t)abs(Zm)^2=R^2+^2*L^2VR=Zm*Im*sin(*t)*cos()VL=Zm*Im*cos(*t)*sin()V=VR+VLVm=Im*Zm=tan(*L/R)=2**fI=Im*sin(*t)abs(Zm)^2=R^2+1/(*C)^2VR=Zm*Im*sin(*t)*cos()VC=Zm*Im*cos(*t)*sin()V=VR+VCVm=Im*Zm=tan(1/(*C*R))=2**fY_=1/Z_abs(Zm)^2=R^2+X^2=tan(X/R)R=RR1+RR2X=XX1+XX2abs(Z1m)^2=RR1^2+XX1^2abs(Z2m)^2=RR2^2+XX2^21=tan(XX1/RR1)2=tan(XX2/RR2)abs(Zm)^2=((RR1*RR2-XX1*XX2)^2+(RR1*XX2+RR2*XX1)^2)/((RR1+RR2)^2+(XX1+XX2)^2)=tan((XX1*RR2+RR1*XX2)/(RR1*RR2-XX1*XX2))-tan((XX1+XX2)/(RR1+RR2))R=Zm*cos()X=Zm*sin()abs(Z1m)^2=RR1^2+XX1^2abs(Z2m)^2=RR2^2+XX2^21=tan(XX1/RR1)2=tan(XX2/RR2) ILLine currentIpPhase currentPPower per phasePTTotal powerImpedance angleVLLine voltageVpPhase voltageW1Wattmeter 1W2Wattmeter 2VL=VpIL=(3)*IpP=Vp*Ip*cos()PT=3*Vp*Ip*cos()PT=(3)*VL*IL*cos() VL=(3)*VpIL=IpP=Vp*Ip*cos()PT=3*Vp*Ip*cos()PT=(3)*VL*IL*cos() W1=VL*IL*cos(+/6)W2=VL*IL*cos(-/6)PT=(3)*VL*IL*cos()  Damping coeff.BandwidthCCapacitanceImCurrentLInductancePhase angleQQuality factorRResistanceRgGenerator resistanceVmMax. voltageRadian freq.0Resonant freq.1Lower cutoff freq.2Upper cutoff freq.dDamped resonant freq.mFreq. for max. amplitudeYresAdmittance at resonanceZImpedanceZresImpedance at resonanceVm=Im/(1/R^2+(*C-1/(*L))^2)=tan((*C-1/(*L))*R)0=1/(L*C)1=1/(2*R*C)+(1/(2*R*C)^2+1/(L*C))2= 1/(2*R*C)+(1/(2*R*C)^2+1/(L*C))=2-1Q=0/Q=R*(C/L)Q=0*R*C Q=0/1=0*(1/(2*Q)+(1/(2*Q)^2+1))2=0*( 1/(2*Q)+(1/(2*Q)^2+1))=1/(2*R*C)=0/(2*Q)d=(0^2-^2)d=0*(1-1/(4*Q^2))0=(1/(L*C)-(R/L)^2)Yres=(L+Rg*R*C)/(L*Rg)Zres=1/Yresm=(((1/(L*C))^2*(1+2*R/Rg)+(R/L)^2*(2/(L*C)))-(R/L)^2)0=(1/(L*C))Z=(R^2+(*L-1/(*C))^2)=tan((*L-1/(*C))/R)1=R/(2*L)+((R/(2*L))^2+1/(L*C))2=R/(2*L)+((R/(2*L))^2+1/(L*C))=2-1=R/LQ=0*L/RQ=1/R*(L/C) 'AccCM current gainAcoCM gain from real OpAmpAdDifferential mode gainAgcTransconductanceAicCurrent gainAvVoltage gainCC1Input capacitorCfFeedback capacitorCMRRCM rejection ratioCpBypass capacitorVHHysteresisfcp3dB bandwidth, ckt.fdCharacteristic freq.f0Passband, geometric ctr.fop3dB bandwidth, OpAmpIIfMax. current through RfRR1Input resistorRR2Current stabilizerRR3Feedback resistorRR4ResistorRfFeedback resistorRinInput resistanceRlLoad resistanceRoOutput resistance, OpAmpRoutOutput resistanceRpBias current resistorRsV divide resistortr10-90% rise timeVLDetection threshold, lowVomaxMax. ckt. outputVRReference voltageVrateMax. voltage rateVUDetection threshold, highVz1Zener breakdown 1Vz2Zener breakdown 23@@@ "PU?   `f J `F J 1    }D1 @ !"@1  @@00#PE0PAP!@@ p oAv=Rf/RR1Rp=RR1*Rf/(RR1+Rf)fcp=fop*(Av)*(RR1/Rf)tr=0.35*Rf/(fop*(Av)*RR1)#-";0@ @0xD;f"f**@D9 93 U 3UU >EAv=1+Rf/RR1Rp=RR1*Rf/(RR1+Rf)#Aic=(Rs+Rf)*Av/(Rl+Ro+Rs*(1+Av))Rin=Rf/(1+Av)Rout=Rs*(1+Av)#Agc=1/RsRout=Rs*(1+Av)#RR1=Rp*Rf/(Rp+Rf)VH=(Vz1+Vz2)*Rp/(Rp+Rf)VU=(VR*Rf+Rp*Vz1)/(Rf+Rp)VL=(VR*Rf-Rp*Vz2)/(Rf+Rp)#RR1=Rp*Rf/(Rp+Rf)VH=(Vz1+Vz2)*Rp/(Rp+Rf)VU=(VR*(Rf+Rp)+Rp*Vz2)/RfVL=(VR*(Rp+Rf)-Rp*Vz1)/Rf#Rf=Vomax/IIfRp=RfCC1=Vomax/(Rf*Vrate)RR1=1/(2**fd*CC1)fd=1/(2**Rf*CC1)Cp=10/(2**f0*Rp)Cf=1/(4**f0*Rf)#Ad=RR3/RR1Aco=RR3^2/(RR1*(RR1+RR3)*CMRR)Ad=(Av*RR3)/(RR1^2*Av^2+RR3^2)Acc=(RR4*RR1-RR2*RR3)/(RR1*(RR2+RR4))#define ni(ttt)=7.783521*ttt^(3/2)*^((4.734*ttt^2/(ttt+636)-1.17)/(1.721438066674*ttt)))  "!!!!!!#+  *** CB current gainaLGJLin. graded jn parameterAAreaA1EB junction areaA2CB junction areafForward AjJunction arearReverse CE current gainbChannel widthfForward rReverse CjJunction capacitanceCLLoad capacitanceCoxOxide capacitance/areaDDiffusion coeff.DBBase diffusion coeff.DCCollector diffusion coeff.DEEmitter diffusion coeff.Dnn diffusion coeff.Dpp diffusion coeff.oxOxide permittivitysSilicon PermittivityEcConduction bandEFFermi levelEiIntrinsic Fermi levelEvValence bandffmaxMax. freq.Body coeff.gdDrain conductancegmTransconductancegmLTransconductance, load dev.GoConductanceIJunction currentI0Saturation currentIBBase currentICCollector currentICB0CB leakage, E openICE0CE leakage, B openICsatCollector I at sat. edgeIDDrain currentIDmodChannel modulation IDID0Drain current at 0 biasIDsatDrain saturation currentIEEmitter currentIIfForward currentIrReverse currentIr0E-M reverse current comp.IRGG-R currentIRG0Zero bias G-R currentModulation parameterIsSaturation currentkDMOS constant, driverkLMOS constant, loadknMOS constantkn1MOS process constantkNMOS constant, n channelkPMOS constant, p channelKRRatioLTransistor lengthLCDiffusion length, collectorLDDrive transistor lengthLEDiffusion length, emitterLLLoad transistor lengthLLnDiffusion length, nlNNn-channel lengthLpDiffusion length, plPp-channel lengthnn mobilitypp mobilitymnn effective massmpp effective massNDoping concentrationNaAcceptor densitynnCn density, collectorNdDonor densitynEn density, emitterN0Surface concentrationnpon density in p materialpp densitypBp density, baseFFermi potentialGCWork function potentialpnop density in n materialQtotTotal surface impuritiesQbBulk charge at biasQb0Bulk charge at 0 biasQoxOxide charge densityQsatBase Q, transition edgenn resistivitypp resistivityRlLoad resistanceBlifetime in baseDTime constantLTime constantoLifetimepMinority carrier lifetimetBase transit timetTimeTTTemperaturetchCharging timetdisDischarge timetoxGate oxide thicknesstrCollector I rise timetsCharge storage timetsd1Storage delay, turn offtsd2Storage delay, turn offTtrTransit timeV1Input voltageVaApplied voltageVbiBuilt-in voltageVBEBE bias voltageVCBCB bias voltageVCCCollector supply voltageVCEsCE saturation voltageVDDDrain supply voltageVDSDrain voltageVDsatDrain saturation voltageVEBEB bias voltageVGGate voltageVGSGate to source voltageVIHInput highVinInput voltageVILInput low voltageVLLoad voltageVMMidpoint voltageVOHOutput highVOLOutput lowVoOutput voltageVpPinchoff voltageVSBSubstrate biasVTThreshold voltageVT0Threshold voltage at 0 biasVTDDepletion tran. thresholdVTLLoad transistor thresholdVTL0Load transistor thresholdVTNn channel thresholdVTPp channel thresholdWMOS transistor widthWBBase widthWDDrive transistor widthWLLoad transistor widthWNn-channel widthWPp-channel widthxDepth from surfacexdDepletion layer widthxnDepletion width, n sidexpDepletion width, p sideZJFET widthq_qk_k0_0 yf /:NXNu yf/9NXNNun=1/(q*n*Nd)p=1/(q*p*Na)Dn=((k*TT)/q)*nDp=((k*TT)/q)*pEi=EF+(k*TT*ln(Na/ni(TT)))EF=Ei+(k*TT*ln(Nd/ni(TT)))Ei=(Ec+Ev)/2+3/4*(k*TT)*ln(mp/mn)N/N0=erfc(x/(2*(D*t)))N=Qtot/(A*(*D*t))*^(x^2/(4*D*t)) Vbi=k*TT/q*ln(Nd*Na/ni(TT)^2)xn=(2*s*0*abs(Vbi-Va)*Na/(q*Nd*(Na+Nd)))xp=(Nd/Na)*xnxd=xn+xpCj=s*0*Aj/xdVbi=2*k*TT/q*ln(aLGJ*xd/(2*ni(TT)))xd=(12*s*0/(q*aLGJ)*abs(Vbi-Va))^(1/3) ygNu/9N/9NPN8NuI=q*Aj*(Dn/LLn*npo+Dp/Lp*pno)*(^(q*Va/(k*TT))-1)I=I0*(^(q*Va/(k*TT))-1)I0=q*Aj*(Dn/LLn*npo+Dp/Lp*pno)IRG0=q*Aj*ni(TT)*xd/(2*o)IRG=q*Aj*ni(TT)*xd/(2*o)*(^(q*Va/(2*k*TT))-1)Go=q/(k*TT)*(I+I0)ts=p*ln(1+IIf/Ir)1/(1+Ir/IIf)=erf((ts/p)) =IC/IE=/(1-)IE=IB+ICIC=*IE+ICB0IC=/(1-)*IB+ICB0/(1-)IC=*IB+ICE0ICE0=ICB0*(+1)IE=IIf-r*IrIC=f*IIf-IrIB=(1-f)*IIf+(1-r)*Irf=f/(1-f)r=r/(1-r)f*IIf=Isr*Ir=IsICB0=(1-r*f)*Ir0ICE0=ICB0*(f+1)ICE0=Ir0*(1-f*r)/(1-f) IE=q*A1*(DE*nE/LE+DB*pB/WB)*(^((q*VEB)/(k*TT))-1)-q*A2*DB/WB*pB*(^((q*VCB)/(k*TT))-1)IC=q*A1*DB*pB/WB*(^((q*VEB)/(k*TT))-1)-q*A2*(DC*nnC/LC+DB*pB/WB)*(^((q*VCB)/(k*TT))-1)IB=q*A1*DE/LE*nE*(^((q*VBE)/(k*TT))-1)+q*A2*DC/LC*nnC*(^((q*VCB)/(k*TT))-1)=((DB*pB)/WB)/(DB*pB/WB+DE*nE/LE)Qsat=ICsat*tICsat=VCC/Rltr=B*ln(1/(1-(ICsat*t)/(IB*B)))tsd1=B*ln(IB*B/(ICsat*t))tsd2=B*ln(2*IB*B/(ICsat*t*(1+IB*B/(ICsat*t))))VCEs=k*TT/q*ln(1+IC/IB*(1-r)/(r*(1-IC/IB*(1-f)/f)))F=k*TT/q*ln(ni(TT)/p)xd=(2*s*0*(2*F)/(q*Na))Qb0=(2*q*Na*s*0*abs(2*F))Qb=(2*q*Na*s*0*abs(2*F+VSB))Cox=ox*0/tox=1/Cox*(2*q*Na*s*0)VT0=GC-2*F-Qb0/Cox-Qox/Coxkn1=n*Coxkn1=n*ox*0/toxkn=kn1*W/LIDmod=kn/2*(VGS-VT)^2*(1+*VDS)ID=when(VGS-VTVDS,kn/2*(2*(VGS-VT)*VDS-VDS^2),kn/2*(VGS-VT)^2)VT=VT0+*((abs(2*F+VSB))-(2*F))gm=kn*(VGS-VT)Ttr=4/3*L^2/(n*(VGS-VT))ffmax=gm/(2**Cox*W*L)gd=kn*(VGS-VT) kD=n*Cox*WD/LDVOH=VDDVOL^2-2*(1/(kD*Rl)+VDD-VT)*VOL+2*VDD/(kD*Rl)=0kD/2*(2*(VIH-VT)*Vo-Vo^2)=(VDD-Vo)/RlkD/2*(VM-VT)^2=(VDD-VM)/RlkL=n*Cox*WL/LLkD=n*Cox*WD/LDKR=kD/kLVOH=VDD-(VT0+*((VOH+2*F)-(2*F)))KR*(2*(Vin-VTD)*Vo-Vo^2)=(VDD-Vo-VTL)^2VTL=VT0+*((Vo+2*F)-(2*F))VIH=(2*(VDD-VTL))/((3*KR)+1)+VT0Vo=(VDD-VTL+VT0+VT0*(KR))/(1+(KR))gmL=kL*(VDD-VTL)L=CL/gmLtch=L*(V1/Vo-1)D=CL/(kD*(V1-VT0))tdis=D*((2*VTD)/(V1-VTD)+ln(2*(V1-VTD)/Vo-1)) kL=n*Cox*WL/LLkD=n*Cox*WD/LDkD/2*(2*(VOH-VT0)*VOL-VOL^2)=kL/2*VTL^2VTL=VTL0+*((Vo+2*F)-(2*F))tch=CL*VL/I0I0=kL*VTL^2kP=p*Cox*WP/lPkN=n*Cox*WN/lNNVIH=2*Vo+VTN+(kP/kN)*(VDD-abs(VTP))/(1+kP/kN)VIL=(2*Vo-VDD-VTP+kN/kP*VTN)/(1+kN/kP)kN/2*(Vin-VTN)^2=kP/2*(VDD-Vin-abs(VTP))^2ID=2*q*Z*n*Nd*b/L*(VDD-2/3*(Vbi-Vp)*(((VDD+Vbi-VG)/(Vbi-Vp))^1.5-((Vbi-VG)/(Vbi-Vp))^1.5))IDsat=2*q*Z*n*Nd*b/L*(VDsat-2/3*(Vbi-Vp)*(((VDD+Vbi-VG)/(Vbi-Vp))^1.5-((Vbi-VG)/(Vbi-Vp))^1.5))b=(2*0*s/(q*Nd)*(Vbi+VDsat-VG))VDsat=VG-VpIDsat=ID0*(1-VG/Vp)^27888887770Current gain, CEAcCommon mode gainAdDifferential mode gainAiCurrent gain, CBAovOverall voltage gainAvVoltage gain, CC/CD0Current gain, CBCMMRCommon mode reject ratiogmTransconductanceAmplification factorrbBase resistancerrcCollector resistancerdDrain resistancereEmitter resistanceRBAExt. base resistanceRCAExt. collector resistanceRDAExt. drain resistanceREAExt. emitter resistanceRGExt. gate resistanceRicCommon mode input resis.RidDiff. input resistanceRinInput resistanceRlLoad resistanceRoOutput resistanceRsSource resistance0=0/(1-0)Rin=re+rb/0Ro=rrcAi=0Av=0*Rl/(re+rb/0)Aov=(0*rrc)*(Rin/(Rin+Rs))/(re+rb/0)0=0/(1-0)Rin=rb+0*reRo=rrcAi=0Av=0*Rl/(0*re+rb)Aov=0*Rl/(Rs+Rin)0=0/(1-0)Rin=rb+0*re+(0+1)*RlRo=re+(Rs+rb)/0Ai=rrc/(rrc*(1-0)+Rl+re)Av=0*Rl/(re+Rl)Aov=(0+1)*Rl/(Rs+Rin+(0+1)*Rl)=gm*rdRin=(Rl+rd)/(+1)Av=(+1)*Rl/(rd+Rl)Ro=rd+(+1)*RG=gm*rdRin=(Rl+rd)/(+1)Av=gm*(rd*Rl/(rd+Rl))Ro=rd=gm*rdRin=(Rl+rd)/(+1)Av=*Rl/((+1)*Rl+rd)Ro=rd/(+1)Rin=0*(re+0*(re+Rl))Ro=re+(0*(re+rb)+Rs)/0^2Ai=0^2*RBA/(RBA+0*(Rl+re))Rin=rb+0*reRo=rrc/0Av=Rl/(re+Rs/0^2)0=0/(1-0)Av=Rl*(0/(2*0*re+Rl))Ai=0*0Rin=0*re+rbRo=rrcAd=1/2*gm*RCAAc=0*RCA/(2*REA+re)Rid=2*(rb+0*re)Ric=0*REAAd=1/2*gm*(rd*RDA)/(rd+RDA)Ac=*RDA/((+1)*2*Rs+rd+RDA)=gm*rdCMMR=gm*Rs / 1ICCurrent swing from op. pt.TjChange in temp.VCEVoltage swing from op. pt.gmTransconductancehFECE current gainhOECE output conductanceICurrentIBBase currentICCollector currentICBOCollector curr. EB openICQCurrent at op. pt.IdcDC currentImaxMax. currentKConstantmConstantEfficiencynTurns ratioN1# turns in primaryN2# turns in secondaryPdPower dissipatedPdcDC power input to ampPoPower outputPPComplianceQQuality factorJAThermal resistanceREquiv. resistanceRR0Internal ckt. lossRR2Load resistanceRBExt. base resistanceRrcCoupled load resistanceRxtExt. emitter resistanceRlLoad resistanceSInstability factorTAAmbient temp.TJJunction temp.V0Voltage across tank ckt.V1Voltage across tuned ckt.VBEBase emitter voltageVCCCollector supply voltageVCEmxMax. transistor ratingVCEmnMin. transistor ratingVmMax. amplitudeVPPPeak-peak volts, secondaryXXCTuned ckt. parameterXC1 equiv. ckt. parameterXC2 equiv. ckt. parameterXL series reactanceR=n^2*RlIC=VCE/RImax=ICQ+ICPdc=VCC*ICQPP=VCEmx-VCEmnVPP=n*PPPo=(IC)^2*R/8=Po/Pdc/TJ=TA+JA*PdIC=hFE*IB+(1+hFE)*ICBOIB=(IC*Rxt-VBE)/(Rxt+RB)IC=hFE*VBE/(hFE*Rxt+RB)+hFE*(Rxt+RB)/(hFE*Rxt+RB)*ICBOS=(1+RB/Rxt)*hFE/(hFE+RB/Rxt)IC=hFE*IB+S*ICBO*(1+m*Tj)/R=VCC/ImaxPo=VCC^2/(2*R)Po=(N2/(2*N1))^2*VCC^2/(2*RR2)/Po=K^2*VCC^2/(2*R)Idc=2*K*Imax/Pdc=2*K*Imax*VCC/Pdc=2*K*VCC^2/(*R)=Po/Pdc=*K/4Pd=2*VCC^2/(*R)*(K-K^2*/4)V1=gm*Rl*Vm/(2*(2))*(1/(1+hOE*Rl/2))IC=gm*Vm/*(1/(1+hOE*Rl/2)) /=I^2*Rrc/(I^2*(Rrc+RR0))XXC=V0^2/(Q*Po)XL=XXC*Q^2/(Q^2+1)XC1=Rl/QXL=1/Q*(Rl+(Rl*RR2))XC2=RR2/Q/111I1Primary currentI2Secondary currentN1# primary turnsN2# secondary turnsRR1Primary resistanceRR2Secondary resistanceRinEquiv. primary resistanceRlResistive part of loadV1Primary voltageV2Secondary voltageXX1Primary reactanceXX2Secondary reactanceXinEquiv. primary reactanceXlReactive part of loadZinPrimary impedanceZLSecondary loadV1/V2=N1/N2I1*N1=I2*N2V1*I1=V2*I2Zin=(N1/N2)^2*ZLV1=N1/N2*V2I1=I2*N2/N1Rin=RR1+(N1/N2)^2*(RR2+Rl)Xin=XX1+(N1/N2)^2*(XX2+Xl) % -$00 AAreaap# parallel pathsBMagnetic inductionEaAvg. emf induced in armt.EfField voltageEmaPhase voltageEsInduced voltageEtaAvg. emf induced/turnFMagnetic pressureHMagnetic field intensityIaArmature currentIIfField currentILLoad currentIrRotor current/phaseIsbBackward stator currentIsfForward stator currentKMachine constantKfField coefficientKMInduction motor constantLLength of each turnNTotal # armature coilsNs# stator coilsResistivityFluxp# polesPPowerPaMech. powerPmaPower in rotor/phasePmeMech. powerPrRotor power/phasePhase delayRR1Rotor resistance/phaseRaArmature resistanceRdAdjustable resistanceReExt. shunt resistanceRelMagnetic reluctanceRfField coil resistanceRlLoad resistanceRrEquiv. rotor resistanceRsSeries field resistanceRstStator resistancesSlipsfSlip for forward fluxsmMaximum slipTInternal torqueTbBackward torqueTfForward torqueTgmaxBreakdown torqueTLLoad torqueTlossTorque lossTTmaxPullout torqueTmmaxMax. positive torqueTsShaft torqueVaApplied voltageVfField voltageVfsField voltageVtTerminal voltagemMech. radian frequencymeElec. radian frequencyrElec. rotor speedsElec. stator speedWfMagnetic energyXLInductive reactance0_0Wf=1/2*H*B*L*AWf=1/2*Rel*^2F=B^2/(2*0)Es=Ns*s*/(2)@me=p/2*mEta=p/*m*Ea=N/ap*(p/)*m*Ea=K*m*K=N*p/(ap*)T*m=Ea*Ia+Ef*IIfT=K**IaRa=*N/ap^2*(L/A)Vf=Rf*IIfVt=K*m*-Ra*IaTs=K**Ia+Tloss @IIf=Vfs/(Re+Rf)Ea=K*m*Vt=IL*RlVt=Ea-Ra*ILIL=K**m/(Ra+Rl)@Ea=K*m*Vt=(Re+Rf)*IIfVt=IL*RlVt=Ea-Ra*IaIa=IL+IIfEa=Ra*Ia+(Re+Rf)*IIf@Ia=IIfVt=Ea-(Ra+Rs)*IL@Vf=Rf*IIfVt=K**m+Ra*IaTL=K**Ia-TlossEa=K*m*T=K*Ia*m=Vt/(K*)-Ra*T/(K*)^2T=Tloss+TLP=T*m@Vt=(Re+Rf)*IIfVt=K**m+Ra*IaTL=K**Ia-TlossEa=K*m*m=Vt/(K*)-(Ra+Rd)*T/(K*)^2T=Tloss+TLT=K**Ia@Vt=K**m+(Ra+Rs+Rd)*ILTL=K**IL-TlossEa=K*m*T=K**ILm=Vt/(K*)-(Ra+Rs+Rd)*T/(K*)^2T=Tloss+TLK*=Kf*ILT=Kf*IL^2@Ea=K**mT=K**IaVt=Ea+Ra*IaT=Tloss+TLm=Vt/(K*)-Ra*T/(K*)^2@r=s-p/2*ms=1-p/2*(m/s)Pr/Pma=sr=s*sPma=3*Ir*EmaPme=3*(p/2)*(m/s)*PmaPme=T*mT=3*(p/2)*(Pma/s)Pma=Rr*Ir^2+(1-s)/s*Rr*Ir^2Pa=(1-s)/s*Rr*Ir^2Rr=RR1/KM^2 @Pma=Rr/s*Ir^2T=3/2*(p*Pma/s)T=3/2*(p/s)*(Rr/s)*(Va^2/((Rst+Rr/s)^2+XL^2))Tmmax=3/4*(p/s)*(Va^2/((Rst^2+XL^2)+Rst))sm=Rr/(Rs^2+XL^2)Tgmax=(3/4)*(p/s)*(Va^2/((Rs^2+XL^2)-Rst))Rr=RR1/KM^2@sf=1-p/2*(m/s)Tf=p/2*(1/s)*(Isf^2*Rr/(2*sf))Tb=(p/2)*(1/s)*(Isb^2*Rr/(2*(2-sf)))@m=2/p*sTTmax=3*(p/2)*(IIf*Va/s)Pma=Va*Ia*cos()T=Pme/mT=3*(p/2)*(Pma/s)@Resistive CircuitsResistance FormulasOhm's Law & PowerTemperature EffectMax Power TransferV, I Source EquivCapacitors, E-FldsPoint ChargeLong Charged LineCharged DiskParallel PlatesParallel WiresCoaxial CableSphereInductors,MagnetismLong LineLong StripParallel WiresLoopCoaxial CableSkin EffectElectron MotionBeam DeflectionThermionic EmissionPhotoemissionMeters & Bridge CktsA, V, MetersWheatstone BridgeWien BridgeMaxwell BridgeOwen BridgeAttenuators-Sym RAttenuators-Unsym RRL and RC CircuitsRL Natural ResponseRC Natural ResponseRL Step ResponseRC Step ResponseRL Series-ParallelRC Series-ParallelRLC CircuitsSeries ImpedanceParallel AdmittanceRLC Natural RespUnderdamped CaseCritical DampingOverdamped CaseAC CircuitsRL Series ImpedanceRC Series ImpedanceImpedance-Admittance2 Z's in Series2 Z's in ParallelPolyphase CircuitsBalanced NetworkBalanced Wye NetwrkPower MeasurementsElec. ResonanceParl Resonance IParl Resonance IILossy InductorSeries ResonanceOpAmp CircuitsBasic InverterNon-Inverting AmplCurrent AmplifierTransconductnce AmpLvl Detector InvertLvl Detectr Non-invDifferentiatorDiff AmplifierSolid State DevicesSemiconductor BasicsPN JunctionsPN Junction CurrentsTransistor CurrentsEbers-Moll EqnsIdeal Currents pnpSwitching TransientsMOS Transistor IMOS Transistor IIMOS Inverter R LoadMOS Inverter Sat LdMOS Invertr Depl LdCMOS Transistr PairJunction FETLinear AmplifiersBJT (CB)BJT (CE)BJT (CC)FET (Common Gate)FET (Common Source)FET (Common Drain)Darlington (CC-CC)Darlington (CC-CE)EC AmplifierDifferential AmpSource-Coupled JFET  Class A, B, C AmpsClass A AmplifierPower TransistorPush-Pull PrincipleClass B AmplifierClass C AmplifierTransformersIdeal TransformerLinear Equiv. CktMotors, GeneratorsEnergy ConversionDC GeneratorSep Excite DC GenDC Shunt GeneratorDC Series GeneratorSep Excite DC MotorDC Shunt MotorDC Series MotorPerm Magnet MotorInduction Motor IInduction Motor II1 Induction MotorSynchronous Machines EquationsResistive CircuitsCapacitors, E-FldsInductors, Magnet.Electron MotionMeters & BridgesRL and RC CircuitsRLC CircuitsAC CircuitsPolyphase CircuitsElec. ResonanceOpAmp CircuitsSolid State Dev.Linear AmplifiersClass A, B, C AmpsTransformersMotors, Generators-? 6" * 6" * 6"?V`$@]Q D@ERNJ\T D*D  8.$ @!N@J (@ * D8. * @E DN * @E!(s ܁3 &@u`$U *@U A3D@U9CJU *$TA*S ts.@.*@sN@N*"@*(u+K7@TU*@T5@uU*V W@T3 bands4 bands5 bandsBlackBrownRedOrangeYellowGreenBlueVioletGreyWhiteBlackBrownRedOrangeYellowGreenBlueVioletGreyWhiteSilverGoldRedSilverGoldBrownGreenBlueVioletGrey    @@Num. of BandsNumber of Bands1st Digit BandDigit 1 Band Color2nd Digit BandDigit 2 Band Color3rd Digit BandDigit 3 Band ColorMultiplier BandMult. Band ColorTolerance BandTol. Band ColorTolerance BandTol. Band ColorValueResistor ValueToleranceResistor Tolerance *_: NVH6.$n 6|&S/ ?N/ "k NO D@@8CB@10 @g @g` DmHz/ "k NP`Hz/ "k NP(H g|?NTA 0A-X-X=XN ?i&m$B-|=|?A 0A-X-X=XN ?i&n$B-|=|?A 0 Dl`,/ "k NxA-X-X=XN9@/./.?."kNONZNdNbA-X-X=XN9@NJA 0JCg0RDA-X-X=XN9@/./.?."kNO -n-n=nNZNdNbA-X-X=XN9@NJA 00RDHyN0g.RDA-X-X=XN9@/./.?."kNO NZNd0RDNbA-X-X=XN9@NJA 0HyN0g DmP%|LN^Nu3NNu/# yf?<NT@6?< NX0 @g @g, @gX``b?<?<`(?<?<NXN&Nu@@@@@@@@@@ ??@ @@P@?P?%??P d2 ValueTolerancNVH 4|$RAC222AC22222>NT@6>NS@8>NS@:>NS@<>NS@> ENb Cf"NbN9@N G l(Nb/./.?.B-|=|@`*G Nb/./.?.B-|=|@/./.?. j NON:&j$&S/./.?. j (N"j$.HzNO0 @g @g`J>NS@@HvNc2`@>NS@@HvNc2N)@`B-| =|@N9?/./.?."j (N"j$.HzNO"j$"NL N^Nu0.05%0.1%0.25%0.5%1%5%10%20%ResistorInductorCapacitor@@Valuedesired valueToleranceToleranceComponentComponent TypeStd. Valuestandard value for componentBandsresistor color bands?<NT yf?<NT @gNNu  BLK BRN RED ORN YEL GRN BLU VIO GRY WHT SIL GOL ???$.BLVjt~ (2FZdx,@Thr0Nbv 4Rf  $ B ` ~  2 P n  6 ^ |  0 X H p Bt(PJ|D \B~2n,r: R.tZJD>LZ| : !!p!"8"###$^$%:%& &'.Lj~2Zx,TrNv4f  B ~ 2 n 6 |  X H BP|D ~nr .ZDL| :!!"#$^%:& 'L@ ` <\8L #'4 <\ ' \'SCIENTIFICValue1.approx(Value)Value:exact(floor(log(Value)))TempExp:exact(round(Value*1000./10.^TempExp,0))TempLUVabs(TempExp)when(TempExp<0,1,0,0)TempLUVDelVar TempExp,TempLUV,StdValue,BandsOut of rangeapprox(%d*10^TempExp/1000.)_henry_F_StdValue"[%c%c%c %c%c%c %c%c%c "(non-standard)"Bands:DelVar TempExp,TempLUV%c%c%c %c%c%c]" BandsDelVar TempExp,TempLUVNVH4|$RA~C222222222AvCp`Q.?<N.HzN>HzHy"jLN.N.Hy"j N>HyN.N<.Hy"j N>HyNO.N @fDF.Hy"j N>HyNP.N8 Fm Fo,>N.N.NN`(>NHSkJ nBЀ0;N$.G>:<~`&Gzb~`Gpz~`Gz~`Gz~v`RC0HЀsoEo0HЀ(K4d0HЀ03D@l0`Hփ038:>HzGHy"jLN>HyNO >N @g @g`.Hz!`.Hz` .HzHy"j NP.HzHy"j NP.N>N @f E'f Hŋ RF` El SF0HH60HdH H@H86@H>6@H?6@H?60H?60H?60H?HzdHy"jLNO8 GfBHŋ Hŋ HEM6PH>6PH?6PH?Hz1C/ "jLNO @ GnNYF`NQF6 Cm C$o >N.NN`JCjC060H>60H?60H?HzC/ "jLNO @ GgD>N@66K60H>60H?60H?HzC/ "jLNO @.C/ "jLNX.N`>N.NNLN^NuSiGaAs5.0222.212228.08144.633545DiamondZincblende2.3285.3211.813.12.8194.7171.02197.018.97.068.19.068.16.12.5.54.054.071.121.431.6101.17.543086.565342.665.96142012382.531815008500600400.063.035.7.351.45.46.9.44131181004.84.7SemiconductorSemiconductor1 AtomsAtoms/cm^3_cm^3 At WtAtomic Weight1 Br FldBreakdown FieldV/cm_V/_cm xtalCrystal Structure1 Densityg/cm^3_gm/_cm^3 rDielectric Constant1 Ncn - Density States/cm^3_cm^3 Nvp - Density States/cm^3_cm^3 mlen - Longitudinal Mass1 mten - Transverse Mass1 mlhp - Light Hole Mass1 mhhp - Heavy Hole Mass1 e- AffinityV_V EGBand Gap, 300KeV_eV niCarrier Density/cm^3_cm^3 aLattice Constantnm_nm thThermal Expansion Coef/K_K^1 MPMelting PointC_C Minority Carrier Lifes_s nn - Mobilitycm^2/(V*s)_cm^2/(_V_s) pp - Mobilitycm^2/(V*s)_cm^2/(_V_s) Raman ERaman Phonon EnergyeV_eV Sp HtSpecific HeatJ/g_J/_gm Th CondThermal ConductivityW/(cm*K)_W/(_cm_K) Diff ConThermal Diffusivitycm^2/s_cm^2/_s Vapor PrVapor Press (1600_C)torr_torr Vapor PrVapor Press ( 930_C)torr_torr Work FnWork FunctionV_VGaPGaSbInAsInPInSbCdSCdSeCdTeZnSZnSeZnTe2.3.7.41.3.22.61.71.53.62.72.3.011.43.3.468.034.06.03.012.053.053.0075.14.046.015.075.0018(n/a) .0065.0005.0016.09.12.2.03.07.01.21.13.14.4.1.1.5.39.02.69.18.80.45.37(n/a) .6.6.545.61.606.507.648.583.605.648.541.567.609146571294210705251750135010981850151512388.51411.710.315.65.410.011.05.28.494.135.65.664.785.774.845.745.864.095.265.7CompoundCompound1 EGBand GapeV_eV nn - Mobilitym^2/(V*s)_m^2/(_V_s) pp - Mobilitym^2/(V*s)_m^2/(_V_s) mnn - Effective Mass1 mpp - Effective Mass1 aLattice Constantnm_nm MPMelting PointC_C rDielectric Constant1 Densityg/cm^3_gm/_cm^3 SiliconBrownGolden BrownRedDeep BlueBluePale BlueVery Pale BlueSiliconLight YellowYellowOrange-RedRedDark RedBlueBlue-GreenLight GreenOrange-YellowRed0-.027.027-.053.053-.073.073-.097.097-.010.10-.12.12-.13.13-.15.15-.16.16-.17.17-.20.20-.24.24-.25.25-.28.28-.31.31-.33.33-.37.37-.40.40-.440-.02.020-.04.040-.055.055-.073.073-.077.077-.093.093-.10.10-.11.11-.12.12-.13.13-.15.15-.18.18-.19.19-.21.21-.23.23-.25.25-.28.28-.30.30-.331st1st2nd2ndColorColor1 SiO2 Film Thicknessm_m Si3N4Film Thicknessm_m OrderOrder1Li.033eV_eVSb.039eV_eVP.045eV_eVAs.054eV_eVBi.069eV_eVTe.14eV_eVTi.21eV_eVC.25eV_eVSe.25eV_eVSe.4eV_eVCr.41eV_eVTa.14eV_eVTa.43eV_eVCs.3eV_eVBa.32eV_eVS.26eV_eVMn.43eV_eVMn(VB).53eV_eVAg(VB).33eV_eVPt(VB).3eV_eVSi(VB).49eV_eVSi(VB).19eV_eVNa(VB).35eV_eVAu(VB).29eV_eVV.49eV_eVMo.33eV_eVMo(VB).34eV_eVMo(VB).3eV_eVHg(VB).33eV_eVHg(VB).25eV_eVSr.28eV_eVSr(VB).5eV_eVGe.27eV_eVGe(VB).5eV_eVK.26eV_eVK(VB).35eV_eVSn.25eV_eVW.22eV_eVW.3eV_eVW.37eV_eVW(VB).34eV_eVW(VB).31eV_eVPb.17eV_eVO.16eV_eVO.51eV_eVFe.14eV_eVFe.51eV_eVFe(VB).4eV_eV0Mg(CB).11eV_eVMg(CB).25eV_eVCs.5eV_eVBa.5eV_eVS.48eV_eVMn.45eV_eVAg(CB).36eV_eVCd(CB).2eV_eVCd(CB).45eV_eVCd.55eV_eVCd.3eV_eVPt(CB).25eV_eVPt.36eV_eVSi.34eV_eVB.045eV_eVAl.067eV_eVGa.072eV_eVIn.16eV_eVTl.3eV_eVPd.34eV_eVBe.42eV_eVBe.17eV_eVZn(CB).55eV_eVZn.26eV_eVAu(CB).54eV_eVCo(CB).53eV_eVCo.49eV_eVCo.35eV_eVV.4eV_eVNi(CB).35eV_eVHg(CB).31eV_eVHg(CB).36eV_eVCu.53eV_eVCu.4eV_eVCu.24eV_eVSn.27eV_eVPb.37eV_eVO(CB).38eV_eVO.41eV_eV'F00NullF1xyANDF2xy'InhibitionF3xTransferF4x'yInhibitionF5yTransferF6(xy')+(x'y)Exclusive OR (XOR)F7x+yORF8(x+y)'Not OR (NOR)F9(xy)+(x'y')Equivalance (XNOR)F10y'Complement (NOT)F11x+y'ImplicationF12x'Complement (NOT)F13x'+yImplicationF14(xy)'Not AND (NAND)F151Identityv@ K? I*% J@V2$ًMpU'xA!^pl"4- UAV@5ٻ;F?4@!H0KΙ_u njX\JAc| K }>>@D>40uw!ZPqЪ(w5sq,+%f+1@ Nux+0=xIdentity Elementx+x'=1Inversex+x=xIdempotentx+1=1Null Element(x')'=xInvolutionx+y=y+xCommutativex+(y+z)=(x+y)+zAssociativex(y+z)=(xy)+(xz)Distributivex+(xy)=xAbsorption(x+y+z)'=x'y'z'DeMorgan's Law(xy)+(x'z)+(yz)=(xy)+(x'z)Consensusx1=xIdentity Elementxx'=0Inversexx=xIdempotentx0=0Null Element(x')'=xInvolutionxy=yxCommutativex(yz)=(xy)zAssociativex+(yz)=(x+y)(x+z)Distributivex(x+y)=xAbsorption(xyz)'=x'+y'+z'DeMorgan's Law(x+y)(x'+z)(y+z)=(x+y)(x'+z)ConsensusDualDualJ/g4J9fp`pgC`C#pJ9gA`ANu F()(f(t)*^(**t),t,,)Fourier Transformf(t)1/(2*)*(F()*^(**t),,,)Inverse Fourier Transformf(t)F()Transformationg(t)G()Transformationa*f(t)+b*g(t)a*F()+b*G()Linearityf(t)F()Symmetry(t)1Time Unit Pulsef(t-t0)^(**t0)*F()Time Shiftingf(a*t)1/abs(a)*F(/a)Time Scaling(f(t),t)**F()Time Differentiation(f(),,,t)1/(*)*F()+*F(0)*()Time Integration12**()Frequency Unit Pulse^(*0*t)*f(t)F(-0)Frequency Shiftingt*f(t)*(F(),)Frequency Differentiation1/(*t)*f(t)+*f(0)*(t)(F(),,,)Frequency Integration(f()*g(t-),,,)F()*G()Convolutionf(t)*g(t)1/(2*)*(F(y)*G(-y),y,,)Modulationconj(f(t))conj(F())Complex Conjugate(conj(f(t))*g(t),t,,)1/(2*)*(conj(F())*G(),,,)Parseval's Theorem(abs(f(t))^2,t,,)1/(2*)*(abs(F())^2,,,)Energy Relation12**()Constant(t)1Unit Impulse(t-t0)^(**t0)Shifted Unit Impulseu(t)*()+1/(*)Unit Stept*u(t)**((),)-1/^2Unit Rampu(t+T)-u(t-T)2*T*sin(*T)/(*T)Rectangular Pulse1-2*abs(t)/TT/2*(sin(*T/4)/(*T/4))^2Triangular, abs(t)