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Solving circuits directly using Laplace

EE 230 Laplace circuits 1 Solving 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. the frequency-domain algebra expression. back to the time-domain. Might it possible to change the order of the steps? Could we transform the circuit into the frequency domain and then use circuit techniques to find the desired voltage or current? Might this is approach be easier than Solving differential equations?

EE 230 Laplace circuits – 5 Now, with the approach of transforming the circuit into the frequency domain using impedances, the Laplace procedure becomes: 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

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