Question:
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 :
Correct Option: , 4
Solution:
(4)
$\alpha=\frac{I_{C}}{I_{E}}, \beta=\frac{I_{C}}{I_{B}}$
$I_{E}=I_{B}+I_{C}$
$\alpha=\frac{I_{C}}{I_{B}+I_{C}}=\frac{1}{\frac{I_{B}}{I_{C}}+1}$
$\alpha=\frac{1}{\frac{1}{\beta}+1}$
$\alpha=\frac{\beta}{1+\beta}$