The correct relation between α (ratio of collector current to emitter current) and β (ratio of collector current to base current) of a transistor is: (a) β = (α)/(1+α) (b) α = (β)/(1-α) (c) α = (β)/(1+β) (d) β = (1)/(1-α)

Answer: (c). IE = IB + IC; divide by IC: (1)/(α) = (1)/(β) + 1 α = (β)/(1+β) So the answer is (c).

The correct relation between α (ratio of collector current to emitter… | JEE Main 2021 (18 Mar, Shift 2)

Q64JEE Main 2021 · 18 MAR · SHIFT 2Easy

Junction Transistor

The correct relation between $\alpha$ (ratio of collector current to emitter current) and $\beta$ (ratio of collector current to base current) of a transistor is:

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Answer: (c)

$I_E = I_B + I_C$ ; divide by $I_C$ : $\frac{1}{\alpha} = \frac{1}{\beta} + 1$
$\alpha = \frac{\beta}{1+\beta}$
So the answer is (c).

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