A transistor is operated in common-emitter configuration at V_C=2 ~V such that a change in the base current from 100 μ A to 200 μ A produces a change in the collector current from 5 ~mA to 10 ~mA . The current gain is :

Correct answer: (A) 50. Δ I_B =100 μ A Δ I_C =5 ~mA β =fracΔ I_CΔ I_B=frac5 × 10^-3100 × 10^-6=50

Q142 / 197 · NEET 2009 (Mains) · Physics

A transistor is operated in common-emitter configuration at $\mathrm{V}_{\mathrm{C}}=2 \mathrm{~V}$ such that a change in the base current from $100 \mu \mathrm{A}$ to $200 \mu \mathrm{A}$ produces a change in the collector current from $5 \mathrm{~mA}$ to $10 \mathrm{~mA}$. The current gain is :

Correct answer
A
50
B
75
C
100
D
150

Solution

$$ \begin{aligned} \Delta \mathrm{I}_{\mathrm{B}} & =100 \mu \mathrm{A} \\ \Delta \mathrm{I}_{\mathrm{C}} & =5 \mathrm{~mA} \\ \beta & =\frac{\Delta \mathrm{I}_{\mathrm{C}}}{\Delta \mathrm{I}_{\mathrm{B}}}=\frac{5 \times 10^{-3}}{100 \times 10^{-6}}=50 \end{aligned} $$

Hence, the correct answer is option: 'A'.

Relevant Questions

The above figure shows the circuit symbol of a transistor. Select the correct statements given below: (A) The transistor has two segments of2023 (Manipur)Junction Transistors
The collector current in a common base amplifier using - -n transistor is . If of the electrons released by the emitter is accepted by the c2022 (Phase 2)Junction Transistors
For transistor action, which of the following statements is correct?2020 (Phase 1)Junction Transistors
A n - p - n transistor is connected in common emitter configuration in which collector voltage drop across load resistance ( 800 ) connected2020 (Phase 2)Junction Transistors
In the circuit shown in the figure, the input voltage V i is 20 V , V B E = 0 and V C E = 0 . The values of I B , I C and are given by2018Junction Transistors
In a common-emitter transistor amplifier, the audio signal voltage across the collector is 3 V. The resistance of collector is 3 kΩ . If cur2017Junction Transistors