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Question

Correct relation between current gain of common base (α) and common collector (γ) configuration of a transistor is

A
γ=1+α
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B
αγ=γ1
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C
αγ=γ+1
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D
γ=1α
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Solution

The correct option is B αγ=γ1
We know that,

for common base configuration, current gain,
α=ICIE

for common emitter configuration, current gain,
β=ICIB

for common collector configuration, current gain,
γ=IEIB

Also,IE=IB+IC

IEIC=IBIC+1

1α=1β+1

β=α1α(1)

Again,IE=IB+IC

IEIB=1+ICIB

γ=1+β(2)

From (1) and (2),

γ=11α

αγ=γ1

Hence, option (B) is correct.
Why this Question ?

Key idea :- This question tests your basic understanding of relation between current gains of various mode of transistor configuration.



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