Halliday, Resnick & Walker — Induction and Inductance: Problem 54

54 In Fig. 30-45a, a circular loop of wire is concentric with a solenoid and lies in a plane perpendicular to the solenoid’s central axis. The loop has radius 6.00 cm. The solenoid has radius 2.00 cm, consists of 5000 turns/m, and has a current $i_{sol}$ varying with time $t$ as given in Fig. 30-45b, where the vertical axis scale is set by $i_s = 1.00$ A and the horizontal axis scale is set by $t_s = 2.0$ s. Figure 30-45c shows, as a function of time, the energy $E_{th}$ that is transferred to thermal energy of the loop; the vertical axis scale is set by $E_s = 100.0$ nJ. What is the loop’s resistance?