10.3 Forces Due to Induction. Two very long, parallel rails are placed in a uniform, time-dependent magnetic field. The
resistance of the rails is negligible. On the left side, the rails are shorted with a wire of resistance R [Ω]. The wire is
fixed and not allowed to move. On the right, a bar with zero resistance is placed on the rails (Figure 10.39) so that it is
free to move. The magnetic flux density is given as B ¼ z^B0cosðωtÞ [T]:
(a) Calculate the magnitude and direction of the force acting on this bar in the instance shown in Figure 10.39.
(b) What is the force at t ¼ 0?
(c) Suppose now that the bar is free to move. Describe qualitatively the motion of the bar.