11
An amplifier without feedback has a voltage gain of 50, input resistance of 1 kΩ & Output resistance of 2.5 kΩ.The input resistance of the current shunt negative feedback amplifier using the above amplifier with a feedback factor of 0.2 is
Answer & Solution
Answer: Option
A
Solution:
The correct answer is Option A: \( \frac{1}{11} \) kΩ
Explanation:
The input resistance of a current shunt negative feedback amplifier is given by the formula:
\[ R_{in(f)} = \frac{R_{in}}{1 + A\beta} \]
where,
\( R_{in} \) = Input resistance without feedback = 1 kΩ
\( A \) = Open-loop voltage gain = 50
\( \beta \) = Feedback factor = 0.2
Substituting the values:
\[ R_{in(f)} = \frac{1}{1 + (50 \times 0.2)} \]
\[ R_{in(f)} = \frac{1}{1 + 10} = \frac{1}{11} \text{ kΩ} \]
Thus, the input resistance of the current shunt negative feedback amplifier is \( \frac{1}{11} \) kΩ, which corresponds to Option A.
Explanation:
The input resistance of a current shunt negative feedback amplifier is given by the formula:
\[ R_{in(f)} = \frac{R_{in}}{1 + A\beta} \]
where,
\( R_{in} \) = Input resistance without feedback = 1 kΩ
\( A \) = Open-loop voltage gain = 50
\( \beta \) = Feedback factor = 0.2
Substituting the values:
\[ R_{in(f)} = \frac{1}{1 + (50 \times 0.2)} \]
\[ R_{in(f)} = \frac{1}{1 + 10} = \frac{1}{11} \text{ kΩ} \]
Thus, the input resistance of the current shunt negative feedback amplifier is \( \frac{1}{11} \) kΩ, which corresponds to Option A.