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JEE Main 2022 (26 Jul, Shift 2) · Junction Transistor

Junction Transistor question from JEE Main 2022 (26 Jul, Shift 2)

Q59JEE Main 2022 · 26 JUL · SHIFT 2Medium

Junction Transistor

The typical transfer characteristics of a transistor in CE configuration is shown in figure. A load resistor of $2\text{ k}\Omega$ is connected in the collector branch of the circuit used. The input resistance of the transistor is $0.50\text{ k}\Omega$ . The voltage gain of the transistor is ______________.

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

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Answer: 200

From the graph: $\beta = \dfrac{\Delta I_C}{\Delta I_B} = \dfrac{5\ \text{mA}}{100\ \mu\text{A}} = 50$
Voltage gain: $A_v = \beta \dfrac{R_L}{R_i} = 50 \times \dfrac{2\ \text{k}\Omega}{0.5\ \text{k}\Omega} = 200$
So the voltage gain is 200.

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