Consider the RLC circuit shown in Figure 6.79, and assume zero initial conditions. a. Use the node

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Consider the RLC circuit shown in Figure 6.79, and assume zero initial conditions.

a. Use the node or loop method to derive the input-output differential equation relating \(v_{\mathrm{o}}\) and \(v_{\mathrm{a}}\), and find the transfer function \(V_{\mathrm{o}}(s) / V_{\mathrm{a}}(s)\).

b. Use the impedance method to determine the transfer function \(V_{\mathrm{o}}(s) / V_{\mathrm{a}}(s)\), and compare with the result obtained Part (a).

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