Transistor Alpha and Beta

Transistor alpha (α) and beta (β) parameters represent the current gain, also known as forward current transfer ratio, of a BJT transistor. These parameters and associated formulas are used in semiconductor calculations.

Common Base Config

In a common-base configuration of a NPN transistor, the collector current (IC) is the input and emitter current (IE) is the output, hence the ratio IC/IE is the dc alpha (αdc). In transistor documentation, this is the hFB parameter.

α Current Gain Formula

Here is the current gain formula for αdc.

α and β relationship formula

Alpha and beta share this very simple relationship formula, which is usually useful in general semiconductor calculations.


Common Emitter Config

In common-emitter configuration of a NPN transistor, the input current IB is through the base junction, and the output is the collector current IC, hence the ratio IC/IB is the dc beta (βdc). In transistor documentation, this is the hFE parameter.

β Current Gain Formula

Here is the current gain formula for βdc.

α and β relationship formula

Semiconductor equations rely heavily on these identities and therefore it is very important to have a clear idea of their relationships.