Walker, Halliday & Resnick — Circuits: Problem 10

10 In Fig. 27-23, the resistors have the values \(R_1 = 7.00 \, \Omega\), \(R_2 = 12.0 \, \Omega\), and \(R_3 = 4.00 \, \Omega\), and the ideal battery’s emf is \(\mathcal{E} = 22.0 \, \text{V}\). For what value of \(R_4\) will the rate at which the battery transfers energy to the resistors equal (a) \(60.0 \, \text{W}\), (b) the maximum possible rate \(P_{\text{max}}\), and (c) the minimum possible rate \(P_{\text{min}}\)? What are (d) \(P_{\text{max}}\) and (e) \(P_{\text{min}}\)?