Walker, Halliday & Resnick — Magnetic Fields: Problem 2

2 Figure 28-22 shows a metallic block, with its faces parallel to coordinate axes. The block is in a uniform magnetic field of magnitude 0.020 T. One edge length of the block is 32 cm; the block is not drawn to scale. The block is moved at 3.5 m/s parallel to each axis, in turn, and the resulting potential difference \(V\) that appears across the block is measured. With the motion parallel to the \(y\) axis, \(V = 12 \text{ mV}\); with the motion parallel to the \(z\) axis, \(V = 18 \text{ mV}\); with the motion parallel to the \(x\) axis, \(V = 0\). What are the block lengths (a) \(d_x\), (b) \(d_y\), and (c) \(d_z\)?