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The well-known hybrid- equivalent circuit for small-signal representation of junction transistors in the normal domain is extended to cover sinusoidal voltages of large amplitudes. The effective parameters thus obtained as the result of the inherent exponential nonlinearities are expressed in terms of the small-signal parameters and the amplitude. Both resistive and reactive parameters are considered. The proposed effective equivalent circuit serves as the basis for the design of a large class of LC sinusoidal oscillators, mixers, tuned power amplifiers, and harmonic generators, and also as the basis for computing the terminal parameters as functions of amplitude. In the event that small-signal terminal parameters constitute the only data available on the device, a method is given to compute from these data the small-signal hybrid- parameters required for the effective parameters.