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Q. The transistor parameters, namely $ \alpha $ and $ \beta $ of a transistor are related as

J & K CETJ & K CET 2017Semiconductor Electronics: Materials Devices and Simple Circuits

Solution:

For common-emitter transistor
$\beta=\frac{\alpha}{1-\alpha} $
$\Rightarrow \frac{1-\alpha}{\alpha}=\frac{1}{\beta}$
or $\frac{1}{\alpha}-\frac{1}{\beta}=1$