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← JEE Main 2022 · 25 Jun · Shift 2
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JEE Main 2022 · 25 Jun · Shift 2, Physics question 60

In an experiment of CECE configuration of n-p-n transistor, the transfer characteristics are observed as given in figure.

If the input resistance is 200 Ω200\ \Omega and output resistance is 60 Ω60\ \Omega, the voltage gain in this experiment will be ______.

Transfer characteristic: I_C (mA) against I_B (μA), a straight line through the origin passing through (100, 5), (200, 10) and (300, 15).
Answer and worked solution

Official answer: 15

Current gain from the graph. β=ΔICΔIB=5 mA100 μA=50\beta=\dfrac{\Delta I_C}{\Delta I_B}=\dfrac{5\text{ mA}}{100\ \mu\text A}=50.

Voltage gain. AV=βRoRi=50×60200=15A_V=\beta\dfrac{R_o}{R_i}=50\times\dfrac{60}{200}=15.

Answer: 15