Hybrid of Thevenin and Norton Equivalent Circuits Analogous to a Source Equivalence Theorem in Electromagnetics

According to the conventional perception among engineers, once a circuit is reduced to its Thevenin orNorton equivalent, the voltage and current may be determined only at the load, but not in the remainingparts. The other voltages and currents that exist in the remaining parts of circuit should be determined byreturning to the original circuit; substituting the solutions obtained at the load location; and thenemploying the rules of circuit theory. In this paper, we presented a source equivalence theorem whereinsuch a back-substitution is never need. It splits an original circuit into two sub-circuits that can be solvedseparately by using different techniques. Then the voltages and currents everywhere in the circuit can beobtained as a sum of the solutions of those two sub-circuits without making any back-substitution.

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