A) \[{{t}_{1/2}}=\lambda \log 2\]
B) \[{{t}_{1/2}}=\frac{\log 2}{\lambda }\]
C) \[{{t}_{1/2}}=\frac{2.303\log 2}{\lambda }\]
D) none of these
Correct Answer: C
Solution :
The current gain a is defined as the ratio of change in collector current to the change in emitter current for constant value of collector voltage in common base configuration \[\alpha ={{\left( \frac{\Delta {{i}_{c}}}{\Delta {{i}_{e}}} \right)}_{{{V}_{c}}=c\text{onstant}}}\] ??(1) \[\alpha \]ranges from \[0.9\]to \[0.99\]for junction transistor. The current gain P is defined as the ratio of charge in collector current to the change in base current for constant value of collector voltage in common emitter configuration i.e. \[\beta ={{\left( \frac{\Delta {{i}_{c}}}{\Delta {{i}_{e}}} \right)}_{{{V}_{c}}=c\text{onstant}}}\] \[\beta \]-ranges from 20 to 200 The current gains a and \[\beta \] are related as \[\alpha =\frac{\beta }{1+\beta }\] and \[\beta =\frac{\alpha }{1-\alpha }\]
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