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B) [15 points] A metal crossbar with resistance R lies across conducting rails in a constant magnetic field B pointing out of the page as shown. The bar is moving at a speed v as indicated to the right. The rails have negligible electrical resistance compared to the crossbar, and you may neglect friction in the sliding of the crossbar (a-4) What is the direction of the induced current flowing in the crossbar? Explain your reasoning. (b-6) Systematically develop an expression for the induced EMF around the closed path formed by rails and crossbar, beginning with Faradays law. (c-5) What external force do you have to exert to make the rod move with a constant speed of v- 0.20 m/s when B 200. mT, the crossbar resistance is 0.05 ohms and L 25.0 cm?

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