A horizontal, 32-cm-long conducting rod is rolling along two horizontal conducti

Question

A horizontal, 32-cm-long conducting rod is rolling along two horizontal conducting rails that are parallel to the x-axis. The rod is parallel to the y-axis, but moves in the +x direction with a speed of 16 cm/s. The rails are electrically connected by a second conducting rod attached to the rails at an x-coordinate smaller than that of the rod. The entire horizontal assembly is immersed in a uniform vertical magnetic field of 7.97 T, with B pointed in the +z direction (up). How much emf V (in V) is generated by the conductor moving in the B-field?

Explanation / Answer

the emf is calculated as follows:

E = d/dt = LBdx/dt = -0.32*7.97*0.16 = 0.408 V

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