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GATE 2022 IN – Question 58

Analog Electronics · Diodes and transistor circuits · 2 marks · Numerical answer

In the circuit shown, $R_1=100$ k$\Omega$ and $R_2=1$ k$\Omega$. The npn BJT has base–emitter voltage 0.7 V and collector–emitter voltage 5.2 V. Its current gain $\beta$ is ______ (two decimal places).

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Correct answer: 148.00 to 152.00

Explanation

Collector voltage is 5.2 V, so IB=(5.2−0.7)/100k=45 μA. The 1 kΩ supply resistor carries IC+IB=(12−5.2)/1k=6.8 mA.

Thus IC=6.755 mA and β=6.755/0.045=**150.11**.