The cube shown in, `50.0 cm` on a side, is in a uniform magnetic field of `0.120 T`, directed along the positive y-axis. Wires `A, C, and D` move in the direction indicated, each with a speed of `0.350 ms^(-1)`. (Wire `A` moves parallel to the x-y plane, `C` moves at an angle of `45.0^(@)` below the x-y plane, and `D` moves parallel to the x-z plane.) What is the potential difference between the ends of each wire?

Explanation

Wire `A: vec(v) xx vec(B) = 0` rarr `epsilon = 0`
Wire C: `epsilon = vBL sin phi`
`= (0.350m//s)(0/120 T)(0.500 m) sin 45^(@) = 0.0148 V`
Wire D: `epsilon = vBL sin phi`
`= (0.350m//s)(0.120 T)sqrt(2)(0.500 m) sin 45^(@) = 0.0210 V`