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In linear circuits, due to the superposition principle, the output of a circuit is equal to the sum of the output due to its DC sources alone, and the output from its AC sources alone. Therefore, the DC and AC response of a circuit is often analyzed independently, using separate DC and AC equivalent circuits which have the same response as the ...
The series RLC can be analyzed for both transient and steady AC state behavior using the Laplace transform. [16] If the voltage source above produces a waveform with Laplace-transformed V ( s ) (where s is the complex frequency s = σ + jω ), the KVL can be applied in the Laplace domain: