The governing equation for an (mathrm{RC}) circuit driven by an applied voltage (v(t)) is derived as [R

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The governing equation for an \(\mathrm{RC}\) circuit driven by an applied voltage \(v(t)\) is derived as

\[R C \dot{V}+V=v(t), V(0)=V_{0}\]

where:

\(V\) is the voltage across the capacitor

\(V_{0}\) is the capacitor voltage at the initial time Assume that the applied voltage is a ramp with slope of \(\frac{1}{2}\). Find the steady-state error between the input and the system response.

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