Question
Derive an expression for the current in a system like that in Figure 23.11, under the following conditions. The resistance between the rails is $R$ , the rails and the moving rod are identical in cross section $A$ and have the same resistivity $\rho$ . The distance between the rails is $l$, and the rod moves at constant speed $v$ perpendicular to the uniform field $B$. At time zero, the moving rod is next to the resistance $R$.
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Please see the solution video for the derivation.

Solution Video