Halliday, Resnick & Walker — Induction and Inductance: Problem 66

66 In Fig. 30-51a, a uniform magnetic field \(\vec{B}\) increases in magnitude with time \(t\) as given by Fig. 30-51b, where the vertical axis scale is set by \(B_s = 9.0 \text{ mT}\) and the horizontal scale is set by \(t_s = 3.0 \text{ s}\). A circular conducting loop of area \(8.0 \times 10^{-4} \text{ m}^2\) lies in the field, in the plane of the page. The amount of charge \(q\) passing point \(A\) on the loop is given in Fig. 30-51c as a function of \(t\), with the vertical axis scale set by \(q_s = 12 \text{ mC}\) and the horizontal axis scale again set by \(t_s = 1.5 \text{ s}\). What is the loop’s resistance?