In a common emitter transistor amplifier, the input resistance is 500 ohm and the output resistance is 50 kilo-ohm. If the current gain is 50, what is the voltage gain of the amplifier?

A. 5000 — The voltage gain is calculated as the product of current gain and the ratio of output resistance to input resistance. Using the formula A_v = (R_o / R_i), we get 50 (50000 / 500) = 5000.

JEE Main · PhysicsMedium

$In a common emitter transistor amplifier, the input resistance is R_{i} = 500 Ω and the output resistance is R_{o} = 50 k Ω . If the current gain is β = 50, what is the voltage gain of the amplifier?$

A. $5000$
B. $2500$
C. $1000$
D. $500$

Show correct answer & step-by-step solution

Correct answer: A — $5000$

Solution

The voltage gain is calculated as A_{v} = β \times \frac{R _{o}}{R _{i}} . Substituting the values, A_{v} = 50 \times \frac{50000}{500} = 5000 .

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In a common emitter transistor amplifier, the input resistance is Ri​=500Ω and the output resistance is Ro​=50kΩ. If the current gain is β=50, what is the voltage gain of the amplifier?

Solution

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$In a common emitter transistor amplifier, the input resistance is R_{i} = 500 Ω and the output resistance is R_{o} = 50 k Ω . If the current gain is β = 50, what is the voltage gain of the amplifier?$