Find the circuit differential equation in ilt and the


The switch in Figure has been open for a long time and is closed at t = 0.

(a) Find the circuit differential equation in iL(t) and the initial conditions iL(0) and vC(0).

(b) The circuit parameters are L = 50 H, C = 0.25 μF, R1 = 10 kΩ, R2 = 10 Ω, and vS = 10u (t) V. Use Laplace transforms and MATLAB to solve for iL(t) for t ≥ 0.

(c) Simulate the circuit in Multisim to plot your resulting waveform.

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Electrical Engineering: Find the circuit differential equation in ilt and the
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