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

JEE Main · 2022 · 26 Jul 2022 · Shift 2 · Semiconductors

The typical transfer characteristic of a transistor in CE configuration is shown in figure. A load resistor of

2 k Ω

is connected in the collector branch of the circuit used. The input resistance of the transistor is

0.50 k Ω

. The voltage gain of the transistor is ______.

Answer: 200

The voltage gain in CE configuration is given by:

A_{v} = β \times \frac{R _{C}}{R _{B}} = \frac{Δ I _{C}}{Δ I _{B}} \times \frac{R _{C}}{R _{B}}

From the transfer characteristic graph,

Δ I_{C} = 5 \times 1 0^{- 3}

A and

Δ I_{B} = 100 \times 1 0^{- 6}

A.

Substituting:

A_{v} = \frac{5 \times 1 0 ^{- 3}}{100 \times 1 0 ^{- 6}} \times \frac{2}{0.5} = 50 \times 4 = 200

JEE Main · 2022 · 26 Jul 2022 · Shift 2 · Integer answer