Walker, Halliday & Resnick — Magnetic Fields: Problem 1

1 A conducting rectangular solid of dimensions \( d_x = 5.00 \text{ m} \), \( d_y = 3.00 \text{ m} \), and \( d_z = 2.00 \text{ m} \) moves with a constant velocity \( \vec{v} = (20.0 \text{ m/s})\hat{i} \) through a uniform magnetic field \( \vec{B} = (40.0 \text{ mT})\hat{j} \) (Fig. 28-22). What are the resulting (a) electric field within the solid, in unit-vector notation, and (b) potential difference across the solid? (c) Which face becomes negatively charged?