Demonstrates the utility of symbolic algebra by using the Laplace transform to solve a second-order circuit. The method requires that the circuit be converted from the time-domain to the s-domain and then solved for V(s). The voltage, v(t), of a sourceless, parallel, RLC circuit with initial conditions is found through the Laplace transform method. Then the solution, v(t), is graphed. Also shows how to find and plot the poles and zeros of a circuit's transfer function H(s) to gain insight to the frequency response.

The method requires that the circuit be converted from the time-domain to the s-domain and then solved for V(s). The voltage, v(t), of a sourceless, parallel, RLC circuit with initial conditions is found through the Laplace transform method. Then the solution, v(t), is graphed. Also shows how to find and plot the poles and zeros of a circuit's transfer function H(s) to gain insight to the frequency response.