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In the study of transistor as amplifier, if α = Ic/Ie and β = Ic/Ib, where Ic, Ib and Ie are the collector, base and emitter currents, then

1. β = (1 + α)/α
2. β = (1 − α)/α
3. β = α/(1 − α)
4. β = α/(1 + α)

Correct answer: β = α/(1 − α)

Solution

The relationship between α and β in a transistor is given by β = α / (1 − α). This is derived from the definitions of α = Ic/Ie and β = Ic/Ib, along with the current relation Ie = Ic + Ib.

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