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JEE Main 2022 (29 Jun, Shift 1) · Junction Transistor

Junction Transistor question from JEE Main 2022 (29 Jun, Shift 1)

Q57JEE Main 2022 · 29 JUN · SHIFT 1Medium

Junction Transistor

A transistor is used in an amplifier circuit in common emitter mode. If the base current changes by 100 $\mu$ A, it brings a change of 10 mA in collector current. If the load resistance is 2 k $\Omega$ and input resistance is 1 k $\Omega$ , the value of power gain is x $\times$ 104. The value of x is _____________.

Numerical answer type. Work it out, then open the answer.

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Answer: 2

Current gain: $\beta = \dfrac{\Delta I_C}{\Delta I_B} = \dfrac{10\ \text{mA}}{100\ \mu\text{A}} = 100$
Power gain: $A_p = \beta^2 \dfrac{R_L}{R_i} = 10^4 \times \dfrac{2\ \text{k}\Omega}{1\ \text{k}\Omega} = 2 \times 10^4$
So $x = 2$ .

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