Programmed Review for Electrical Engineering, Third Edition
This text contains an organized review of the basic electrical engineering fundamentals, with 111 problems, solutions and explanations for the core electrical engineering concepts.
TABLE OF CONTENTS Programmed Review for Electrical Engineering, Third Edition
Compensating Circuits
The problems in this section apply to a variety of electrical engineering specialities including control theory and transient analysis. Use is made of partial fractions (see Chapter 5) and the Laplace transform.
Problem 2-12: SIMPLE LAG CIRCUIT
Q:
Derive the equation for output voltage across the capacitor of the simple lag circuit shown below after the switch is closed. Assume the capacitor is initially uncharged.
Answers
Q:
The transfer function of a circuit =
= T.F.
When S is closed at t = 0, a transient unit step is input.
Using partial fractions,
Cancelling common denominators,
Solving for A and B:
Substituting:
Taking the inverse L,
(answer)
If your answer is correct, go on to Problem 2-13.
If your answer is not correct, review pp. 16, 61 and 25.
Problem 2-13: SIMPLE LEAD CIRCUIT
Q:
What is the equation for output voltage across the resistor of the following simple lead circuit after the switch is closed? Assume the capacitor is initially uncharged.
Answers
Q:
The derivation of the voltage response across the resistor is similar to that of the preceding problem. Therefore, some short cuts are taken here.
Using Kirchhoff's voltage law,
Taking the inverse L,
(answer)
If your answer is correct, go on to Problem 2-14.
If your answer is not correct, review the solution to Problem 2-12.
Copyright Dearborn Financial Publishing, Inc. 2004 under license agreement with Books24x7
