Determine the relationship between alpha and beta, Physics

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Derive the relation

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 (I_C) to the change in base current (I_B) i.e.,

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

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