FIGURE P30.59 shows a U-shaped conducting rail that is oriented vertically in a horizontal magnetic field. The rail has no electric resistance and does not move. A slide wire with mass m and resistance R can slide up and down without friction while maintaining electrical contact with the rail. The slide wire is released from rest.

a. Show that the slide wire reaches a terminal speed v_term, and find an expression for v_term.b. Determine the value of v_term if l = 20 cm, m = 10 g, R = 0.10 Ω, and B = 0.50 T.

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x x x x x X x x x x x x X x X FIGURE P30.59 x x X x x X x x X