JEE Main 2022 · 24 Jun · Shift 1 · Physics Q53

← JEE Main 2022 · 24 Jun · Shift 1

PhysicsInteger+4 / -1Question 53 of 90

A transistor is used in common-emitter mode in an amplifier circuit. When a signal of 10 mV is added to the base-emitter voltage, the base current changes by $10\ \mu$ A and the collector current changes by 1.5 mA. The load resistance is $5\ \mathrm{k\Omega}$ . The voltage gain of the transistor will be ______.

Your answer

Answer and worked solution

Official answer: 750

Current gain. $\beta=\dfrac{\Delta I_C}{\Delta I_B}=\dfrac{1.5\text{ mA}}{10\ \mu\text A}=150$ .

Input resistance. $r_i=\dfrac{10\text{ mV}}{10\ \mu\text A}=1$ kΩ.

Voltage gain. $A_V=\beta\dfrac{R_L}{r_i}=150\times5=750$ .

Answer: 750

Topics:Transistors

← Previous question Next question →

JEE Main 2022 · 24 Jun · Shift 1, Physics question 53