Education Technology

# Activities

• ##### Subject Area

• Science: Science General: General

College

• ##### Device
• TI-89 / TI-89 Titanium
• ##### Other Materials
This is Chapter 6 from the EXPLORATIONS Book: Electrical Engineering Applications with the TI-89.

## Laplace Analysis: The s-domain

#### Activity Overview

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.

#### During the Activity

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.