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Solving circuits directly using Laplace

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EE 230Laplace circuits 1Solving circuits directly using LaplaceThe Laplace method seems to be useful for Solving the differential equations that arise with circuits that have capacitors and inductors and sources that vary with time (steps and sinusoids.) The approach has been to: the circuit in the time domain using familiar circuit analysis techniques to arrive at a differential equation for the time-domain quantity of interest (voltage or current). a Laplace transform on the differential equation to arrive a frequency-domain form of the quantity of interest.

1. Transform the circuit. Use the Laplace transform version of the sources and the other components become impedances. 2. Solve the circuit using any (or all) of the standard circuit analysis techniques to arrive at the desired voltage or current, expressed in terms of the frequency-domain sources and impedances. 3. Transform back to the time ...

  Transform, Laplace transforms, Laplace

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