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The voltage gain (A_v) can be expressed as V_out / V_in = I_out / I_in × R_out / R_in. Calculate A_v for the given values: A_v = 2 × 10^-3 / 40 × 10^-6 × 4 × 10^3 / 100 = 2 × 100 = 2000.

1. Voltage gain (A_v) is defined as V_out / V_in = I_out / I_in × R_out / R_in.
2. A_v = 2 × 10^-3 / 40 × 10^-6 × 4 × 10^3 / 100 = 2 × 100 = 2000.
3. In a common-emitter amplifier, the voltage across the collector and emitter is inverted by 180° relative to the input voltage across the base and emitter, as shown by the negative sign in A_v.
4. The voltage gain of a modified transistor G' is equal to 2/3 of the original gain G.

Correct answer: A_v = 2 × 10^-3 / 40 × 10^-6 × 4 × 10^3 / 100 = 2 × 100 = 2000.

Solution

Option B correctly calculates the voltage gain (A_v) using the given formula and values. The steps and result are consistent with the problem statement.

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