Determine the relationship between alpha and beta, Physics

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Derive the relation

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Relationship  between  α and  β: Beta  factor  (β)  is  the  current  gain  factor  of  a common emitter circuit is defined as ratio of change in collector current (IC) to the change in base current (IB) i.e.,

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And alpha factor (α) is also called current amplification factor and is defined as ratio of change in collector current (IC) to the change in emitter current (IE) i.e.

 

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