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  4. In a transistor, the collector current varies by 0.49 mA and emitter current varies by 0.50 mA . Current gain β measured is

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Q. In a transistor, the collector current varies by $0.49 \, mA$ and emitter current varies by $0.50 \, mA$ . Current gain $\beta $ measured is

NTA AbhyasNTA Abhyas 2022

Solution:

Given,
$ΔI_{C}=0.49 \, \, mA=0.49\times 10^{- 3 \, }A$
$ΔI_{E}=0.50 \, \, mA=0.50\times 10^{3 \, }A$
$\alpha =\frac{ΔI_{C}}{ΔI_{E}}$
$\beta =\frac{\alpha }{1 - \alpha }=\frac{\frac{0 .49}{0 .50}}{1 - \frac{0 .49}{0 .50}}$
$=\frac{49}{50 \left(1 - \frac{49}{50}\right)}$
$=\frac{49 \times 50}{50 \left(50 - 49\right)}$
$\beta =49$