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Laplace Transform
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Laplace Transforms in Circuits
Capacitors and inductors produce differential equations in the time domain. Capacitor: i = C dv/dt. Inductor: v = L di/dt. Combine them in a circuit and you get a system of differential equations. Painful to solve by hand. The Laplace transform converts the time domain to the s domain. Differentiation becomes multiplication by s. Integration ...
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