Halliday, Resnick & Walker — Induction and Inductance: Problem 28

28 In Fig. 30-32, a wire loop of lengths \(L = 50.0 \text{ cm}\) and \(W = 20.0 \text{ cm}\) lies in a magnetic field \(\vec{B}\). What are the (a) magnitude and (b) direction (clockwise or counterclockwise—or “none” if \(\mathcal{E} = 0\)) of the emf induced in the loop if \(\vec{B} = (4.00 \times 10^{-2} \text{ T/m})y\hat{k}\)? What are (c) \(\mathcal{E}\) and (d) the direction if \(\vec{B} = (6.00 \times 10^{-2} \text{ T/s})t\hat{k}\)? What are (e) \(\mathcal{E}\) and (f) the direction if \(\vec{B} = (8.00 \times 10^{-2} \text{ T/m}\cdot\text{s})yt\hat{k}\)? What are (g) \(\mathcal{E}\) and (h) the direction if \(\vec{B} = (3.00 \times 10^{-2} \text{ T/m}\cdot\text{s})xt\hat{j}\)? What are (i) \(\mathcal{E}\) and (j) the direction if \(\vec{B} = (5.00 \times 10^{-2} \text{ T/m}\cdot\text{s})yt\hat{i}\)?