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In a recent article, we have advanced a semiclassical theory of quantumcircuits with discrete charge and electrical resistance. In this work, wepresent a few elementary applications of this theory. For the zero resistance,inductive circuit, we obtain the Stark ladder energies in yet another way; andgeneralize earlier results by Chandia et. al, for the circuit driven by acombination d.c. plus a.c. electromotive force (emf). As a second application,we investigate the effect of electrical resistance, together with chargediscreteness, in the current amplitude, and resonance conditions of a general$RLC$ quantum circuit, including nonlinear effects up to third order on theexternal sinusoidal emf.

Quantum $RLC$ circuits: charge discreteness and resonance