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  4. The relation between α and β parameters of a transistor is given by

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Q. The relation between $\alpha\,and\,\beta$ parameters of a transistor is given by

KCETKCET 2000Semiconductor Electronics: Materials Devices and Simple Circuits

Solution:

$\alpha $ and $\beta $ both are amplification factors
$I_{E}=I_{C}+I_{B}$
$\frac{I_{E}}{I_{C}}=1+\frac{I_{B}}{I_{C}}$
$\frac{1}{\alpha }=1+\frac{1}{\beta }$
$\alpha =\frac{\beta }{1 + \beta }$