Determine the voltage gain, input, and output impedance with feedback for voltage-series feedback having A= -100, Ri = 10 kΩ, and Ro = 20 kΩ for feedback of (a) β= -0.1 and (b) β= -0.5.

To solve this problem, we need to use the formulas for voltage gain, input impedance, and output impedance with feedback in a voltage-series feedback amplifier.

(a) For β= -0.1:

1. Voltage Gain (Avf): The formula for voltage gain with feedback is Avf = A / (1 + Aβ). Substituting the given values, we get Avf = -100 / (1 - (100 * -0.1)) = -100 / (1 + 10) = -9.

2. Input Impedance (Zin): The formula for input impedance with feedback is Zin = Ri * (1 + Aβ). Substituting the given values, we get Zin = 10k * (1 - (100 * -0.1)) = 10k * (1 + 10) = 110kΩ.

3. Output Impedance (Zo): The formula for output impedance with feedback is Zo = Ro / (1 + Aβ). Substituting the given values, we get Zo = 20k / (1 - (100 * -0.1)) = 20k / (1 + 10) = 1.82kΩ.

(b) For β= -0.5:

1. Voltage Gain (Avf): Substituting the given values into the formula, we get Avf = -100 / (1 - (100 * -0.5)) = -100 / (1 + 50) = -2.

2. Input Impedance (Zin): Substituting the given values into the formula, we get Zin = 10k * (1 - (100 * -0.5)) = 10k * (1 + 50) = 510kΩ.

3. Output Impedance (Zo): Substituting the given values into the formula, we get Zo = 20k / (1 - (100 * -0.5)) = 20k / (1 + 50) = 0.39kΩ.

So, for β= -0.1, the voltage gain is -9, the input impedance is 110kΩ, and the output impedance is 1.82kΩ. For β= -0.5, the voltage gain is -2, the input impedance is 510kΩ, and the output impedance is 0.39kΩ.