Question: Consider the RC-Circuit governing differential equation shown below: +/vc(t) = E RC .RC 1 dvc(t) dt Solve this equation for Vc(t) using the Laplace

Consider the RC-Circuit governing differential equation shown below: +/vc(t) = E RC .RC 1 dvc(t) dt Solve

Consider the RC-Circuit governing differential equation shown below: +/vc(t) = E RC .RC 1 dvc(t) dt Solve this equation for Vc(t) using the Laplace Transforms approach, assuming that: - the Electromotive Force, E = 1. - the initial voltage across the capacitor is equal to zero (Vc(0) = 0). Show that: Vc(t)=1-e-/ where: V.(t) is the voltage across the capacitor, and T = RC is the time constant.

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