Find the sinusoidal steady-state response of (v_{mathrm{C}}(t)) in Figure P7-24 when (R=100 mathrm{k} Omega, C=0.02 mu mathrm{F}),

Question:

Find the sinusoidal steady-state response of \(v_{\mathrm{C}}(t)\) in Figure P7-24 when \(R=100 \mathrm{k} \Omega, C=0.02 \mu \mathrm{F}\), and the input voltage is \(v_{\mathrm{S}}(t)=15 \cos (50 t) u(t) \mathrm{V}\). Repeat for an input voltage of \(v_{\mathrm{S}}(t)=15 \cos (500 t) u(t) \mathrm{V}\), and one more time for an input voltage of \(v_{\mathrm{S}}(t)=15 \cos (5 \mathrm{k} t) u(t) \mathrm{V}\). Describe how changing the frequency affects the output's amplitude and phase. You may choose to use MATLAB and plot the steadystate responses of each input on a single set of axes.

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