Reconsider the \(\mathrm{RC}\) circuit shown in Figure 6.24. Use the impedance method to determine the transfer function \(I(s) / V_{\mathrm{a}}(s)\) and the input-output differential equation relating \(v_{\mathrm{C}}\) and \(v_{\mathrm{a}}\). Assume that all the initial conditions are zero.

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FIGURE 6.24 Problem 1. ww R C VC