An Exact Circuit Analogue of Transistor Alpha†

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Abstract
This paper describes an exact circuit analogue of the theoretical expression for the current amplification factor α of a junction transistor, obtained by solving the one-dimensional diffusion equation. It consists of an exponentially tapered RC transmission line, driven by a current generator and terminating in a capacitor. With proper choice of the source current, the line parameters and the load capacitance, the expression for the output current is exactly the same as that for α, deduced from a consideration of the physics of transistor action. On the basis of the above circuit analogue, the frequency variation of the collector conductance gc and collector capacitance Cc are examined and the results are compared with those obtained from earlier circuit models for α.

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