Answered: The open-loop gain of an amplifier is A…

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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Question

The open-loop gain of an amplifier is A = 5 × 10⁴. If the open-loop gain decreases by 10 percent, the closed-loop gain must not change by more than 0.1 percent. Determine the required value of the feedback transfer function β and the closed-loop gain A_f.

Expert Solution

Step 1

If A_f represents the closed-loop gain, then the change in the closed-loop gain can be represented by the following equation:

According to the given information, if the open-loop gain changes by 10 percent, then the closed-loop gain must nor change by more than 0.1 percent.

Therefore,

Step 2

Plugging the value of the open-loop gain into equation (2), the value of the feedback factor will be

Therefore, the value of the feedback factor will be

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