# CHAPTER 8

*The Complete Response of* RL *and* RC *Circuits*

**IN THIS CHAPTER**

**8.1** Introduction

**8.2** First-Order Circuits

**8.3** The Response of a First-Order Circuit to a Constant Input

**8.4** Sequential Switching

**8.5** Stability of First-Order Circuits

**8.6** The Unit Step Source

**8.7** The Response of a First-Order Circuit to Nonconstant Source

**8.8** Differential Operators

**8.9** Using PSpice to Analyze First-Order Circuits

**8.10** How Can We Check … ?

**8.11 DESIGN EXAMPLE**—A Computer and Printer

**8.12** Summary

Problems

PSpice Problems

Design Problems

## 8.1 *Introduction*

In this chapter, we consider the response of *RL* and *RC* circuits to abrupt changes. The abrupt change might be a change to the circuit, as when a switch opens or closes. Alternately, the abrupt change might be a change to the input to the circuit, as when the voltage of a voltage source is a discontinuous function of time.

*RL* and *RC* circuits are called first-order circuits. In this chapter, we will do the following:

- Develop vocabulary that will help us talk about the response of a first-order circuit.
- Analyze first-order circuits with inputs that are constant after some particular time,
*t*_{0}.
- Introduce the notion of a stable circuit and use it to identify stable first-order circuits.
- Analyze first-order circuits that experience more than one abrupt change.
- Introduce the step function and use it to determine the step response of a first-order circuit. ...