# (a) A pair of conducting rails has a shorting metal bar moving at velocity v along the rails, as sho

(a) A pair of conducting rails has a shorting metal bar moving at velocity v along the rails, as shown in Figure 8-11. A uniform ac magnetic field B a, B, cos ot [T] is directed out of the page. Determine the voltage V(t) induced across the small gap a-b as shown. Note that your result should consist of both the transformer emf and motional emf Assume that the bar is at x d at t 0 This circuit can be used as a rail gun in which a very strong current can accelerate the metal bar or projectile to a very high velocity. Now assume that B is a dc magnetic field, a voltage source V is applied across the terminals a-b and the total resistance of the rails and the bar is R 2]. Calculate the force acting on the metal bar. What should the polarity of V be, i.e., positive or negative? (b) V()I

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