Find the differential equation for the capacitor voltage, Physics

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Find the differential equation for the capacitor voltage

Repeat given Problem for the input waveform v_S(t) = 169 [cos 377t] u (t) V. Use MATLAB to plot the result. Validate your results by simulating the circuit in Multisim.

Problem

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

2074_Fig 1.jpg

(a) Find the differential equation for the capacitor voltage and initial condition v_C (0).

(b) Find v_O(t) using the Laplace transformation for v_S(t) = 100 u (t) V.

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Physics: Find the differential equation for the capacitor voltage

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Physics: Find the differential equation for the capacitor voltage

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