MHT CET · Physics · Semiconductors

A transistor is used as a common emitter amplifier with a load resistance of $2 k Ω$ . The input resistance is $150 Ω$ . Base current is changed by $20 μ A$ which results in a change in collector current by $1.5 m A$ . The voltage gain of the amplifier is

A $900$
B $1000$
C $1100$
D $1200$

Verified Solution

Answer & Solution

Correct Answer

(B) $1000$

Step-by-step Solution

Detailed explanation

Voltage gain

= \frac{V_{0}}{V_{i}} = \frac{R_{0} \times ∆ I_{C}}{R_{i} \times ∆ I_{B}}

= \frac{2000 \times 1.5 \times 10^{- 3}}{150 \times 20 \times 10^{- 6}} = \frac{3}{3000 \times 10^{- 6}}

= \frac{1}{{(1000)}^{- 1}} = 1000

Apply the relevant identity from the chapter and substitute the values established in the previous step, keeping the original constraint in view.

Use the simplified expression to isolate the unknown, then plug the result back into the question setup to confirm the working is internally consistent.

Cross-check against a boundary or limiting case. Both the dimensional balance and the qualitative behaviour at the extreme should agree with the candidate answer.

Combine the steps above to identify the correct option. The remaining choices each fail at least one of the consistency, dimensional, or boundary checks.

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A transistor is used as a common emitter amplifier with a load resistance of 2 kΩ. The input resistance is 150 Ω. Base current is changed by 20 μA which results in a change in collector current by 1.5 mA. The voltage gain of the amplifier is

Step-by-step Solution

A transistor is used as a common emitter amplifier with a load resistance of $2 k Ω$ . The input resistance is $150 Ω$ . Base current is changed by $20 μ A$ which results in a change in collector current by $1.5 m A$ . The voltage gain of the amplifier is