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Concepts Of Physics MCQ Edition [Volume 2]
Exam
Concepts Of Physics MCQ Edition [Volume 2]
Subject
Physics
Chapter
Semiconductors and Semiconductor Devices

Concepts Of Physics MCQ Edition [Volume 2] · Physics · Semiconductors and Semiconductor Devices

An amplifier circuit employs a transistor in common-emitter mode,...

An amplifier circuit employs a transistor in common-emitter mode, with a load resistor of 2 kΩ2 \text{ k}\Omega connected in the collector branch. The transistor has a current gain β=50\beta = 50 and an input resistance of 0.50 kΩ0.50 \text{ k}\Omega. When the input current is altered by 50μA50 \mu\text{A}, determine the change in the output voltage.

Options

  1. A12.5 V12.5 \text{ V}
  2. B5.0 V5.0 \text{ V}
  3. C2.5 V2.5 \text{ V}
  4. D0.1 V0.1 \text{ V}

Correct answer

B. 5.0 V5.0 \text{ V}

Step-by-step solution

The given parameters are:

Current gain, β=50\beta = 50

Load resistance, RL=2 kΩ=2×103ΩR_L = 2 \text{ k}\Omega = 2 \times 10^3 \Omega

Change in input current, ΔIB=50μA=50×10−6 A\Delta I_B = 50 \mu\text{A} = 50 \times 10^{-6} \text{ A}

The change in output current (collector current) is given by:

ΔIC=βΔIB\Delta I_C = \beta \Delta I_B

ΔIC=50×50×10−6 A=2.5×10−3 A\Delta I_C = 50 \times 50 \times 10^{-6} \text{ A} = 2.5 \times 10^{-3} \text{ A}

The change in output voltage across the load resistor is:

ΔVout=ΔIC×RL\Delta V_{out} = \Delta I_C \times R_L

ΔVout=2.5×10−3×2×103 V=5.0 V\Delta V_{out} = 2.5 \times 10^{-3} \times 2 \times 10^3 \text{ V} = 5.0 \text{ V}
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