# 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, t0.
• 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. ...

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