Chapter 23, Problem 23PE

Integrated Concepts

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 red 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 red is next to the resistance R.