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If the value of the common base current gain (α) is 0.98, then the value of the common collector current gain (γ) is ___________.
Question

If the value of the common base current gain (α) is 0.98, then the value of the common collector current gain (γ) is ___________.

A.

98

B.

49

C.

0.02

D.

50

Correct option is D

Common base current gain, α=0.98The relationship between common base current gain (α) and common collector current gain (γ) is:γ=11αγ=110.98=10.02=50Additional Information:Common emitter current gain (β):β=ICIBCommon base current gain (α):α=ICIECommon collector current gain (γ):γ=IEIBWhere,IC=Collector currentIB=Base currentIE=Emitter current\text{Common base current gain, } \alpha = 0.98 \\[6pt]\text{The relationship between common base current gain } (\alpha) \text{ and common collector current gain } (\gamma) \text{ is:} \\[8pt]\gamma = \frac{1}{1 - \alpha} \\[6pt]\gamma = \frac{1}{1 - 0.98} = \frac{1}{0.02} = 50 \\[10pt]\textbf{Additional Information:} \\[6pt]\text{Common emitter current gain } (\beta): \quad \beta = \frac{I_C}{I_B} \\[6pt]\text{Common base current gain } (\alpha): \quad \alpha = \frac{I_C}{I_E} \\[6pt]\text{Common collector current gain } (\gamma): \quad \gamma = \frac{I_E}{I_B} \\[10pt]\textbf{Where,} \\[4pt]I_C = \text{Collector current} \\[4pt]I_B = \text{Base current} \\[4pt]I_E = \text{Emitter current}​​

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