Calculate the rate \(P_{\mathrm{av}}\) at which energy is dissipated in the \(R L C\) series circuit of Example 32.10.

Data from Example 32.10

Consider an RLC circuit, such as the one shown in Figure 32.58. The source emf has amplitude \(160 \mathrm{~V}\) and frequency \(60 \mathrm{~Hz}\). The resistance is \(R=50 \Omega\) and the inductance is \(L=0.26 \mathrm{H}\). If the amplitudes of the potential difference across the capacitor and the inductor are equal, what is the current in the circuit?