Assignment: RL & RC Circuits. R Figure 1: RL Circuit 1. In an RL series circuit containing only a resistor and an inductor, Kirchhop's second law states that the sum of the voltage drop across the inductor(Ldi/dt) and the voltage drop across the resistor (iR) is the same as the impressed voltage (E(t)) on the circuit. The current i(t), called the response of the system, is governed by a differential equation di L + Ri = E(t) dt where L and R are constants known as inductance and the resistance respectively. Based on the above equation, solve the following: (a) A 12-volt battery is connected to a series in which the inductance is 0.5 henry and the resistance is 10 ohms. Determine the current i if the initial current is zero. Then determine the steady-state current for the system. Ans: i(t) = g(1 – e-20t) (b) An electromotive force 120, 0st< 20 E(t) = { 0, t> 20 is applied to an LR series circuit in which the inductance is 20 henry and the resistance is 2 ohms. Find the current i(t) if i(0) = 0. Ans: 60(1 – e-t/10), ) = { 60(e² – 1)e¬t/10, 0 20 R Figure 2: RC Circuit WW

Assignment: RL & RC Circuits. R Figure 1: RL Circuit 1. In an RL series circuit containing only a resistor and an inductor, Kirchhop's second law states that the sum of the voltage drop across the inductor(Ldi/dt) and the voltage drop across the resistor (iR) is the same as the impressed voltage (E(t)) on the circuit. The current i(t), called the response of the system, is governed by a differential equation di L + Ri = E(t) dt where L and R are constants known as inductance and the resistance respectively. Based on the above equation, solve the following: (a) A 12-volt battery is connected to a series in which the inductance is 0.5 henry and the resistance is 10 ohms. Determine the current i if the initial current is zero. Then determine the steady-state current for the system. Ans: i(t) = g(1 – e-20t) (b) An electromotive force 120, 0st< 20 E(t) = { 0, t> 20 is applied to an LR series circuit in which the inductance is 20 henry and the resistance is 2 ohms. Find the current i(t) if i(0) = 0. Ans: 60(1 – e-t/10), ) = { 60(e² – 1)e¬t/10, 0 20 R Figure 2: RC Circuit WW

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...

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