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.

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, 

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