A) \[\alpha =\frac{1-\beta }{\beta }\]
B) \[\frac{\beta }{1-\beta }\]
C) \[\alpha =\frac{1+\beta }{\beta }\]
D) \[\alpha =\frac{\beta }{1+\beta }\]
Correct Answer: C
Solution :
The common base current gain is \[\beta =\frac{{{i}_{C}}}{{{i}_{B}}}\] ?(1) and the relation \[{{i}_{E}}={{i}_{C}}+{{i}_{B}}\] or \[\frac{{{i}_{E}}}{{{i}_{C}}}=1+\frac{{{i}_{B}}}{{{i}_{C}}}\] or \[\frac{1}{\alpha }=1+\frac{1}{\beta }=\frac{\beta +1}{\beta }\] [from (1)] or \[\alpha =\frac{\beta }{1+\beta }\]
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