You??ve decided to make the magnetic projectile launcher shown in FIGURE P30.58 for your science project. An aluminum bar of length l slides along metal rails through a magnetic field B. The switch closes at t = 0 s, while the bar is at rest, and a battery of emf Ԑ_batstarts a current flowing around the loop. The battery has internal resistance r. The resistances of the rails and the bar are effectively zero.

a. Show that the bar reaches a terminal speed vterm, and find an expression for v_term.b. Evaluate v_term for Ԑ_bat = 1.0 V, r = 0.10 Ω, l = 6.0 cm, and B = 0.50 T.

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Ept FIGURE P30.58