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Solving state variable equations with zero input

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Reference no: EM131296318

Solving State Variable Equations With zero input, a series RLC circuit can be described by the following coupled first-order equations in the inductor current iL(t) and capacitor voltage vC(t).

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(a) Transform these equations into the s domain and solve for the transforms IL(s) and VC(s) in terms of the initial conditions iL(0) = I0 and vC(0) = V0.

(b) Find iL(t) and vC(t) for R = 100 Ω, L = 100 mH, C = 1 μF, I0 = 10 mA, and V0 = 15 V.

Reference no: EM131296318

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