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 Af.
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 Af.
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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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 Af.
Expert Solution
Step 1
If Af 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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