Reconsider the RL circuit shown in Figure 6.25. Use the impedance method to determine the transfer function \(V_{\mathrm{L}}(s) / V_{\mathrm{a}}(s)\) and the input-output differential equation relating \(i_{\mathrm{L}}\) and \(v_{\mathrm{a}}\). Assume zero initial conditions.

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FIGURE 6.25 Problem 2. ww R elle L VL