An approximate analytical formulation of the intrinsic base resistance in two planar dimensions

The author demonstrates the accuracy of an approximate analytical model for the current-dependent base resistance for a two-dimensional rectangular emitter with various boundary conditions. This model is based on the analytical formulation of the one-dimensional case, with the conductance parameters empirically modified to represent two-dimensional current flow. The results of this model are compared directly to a finite-element model and the error is shown to be small for a wide range of emitter aspect ratios.<
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