A 1.2-kg rod that has a length of 1.0 m and a resistance of 5.0 O slides with co

Question

A 1.2-kg rod that has a length of 1.0 m and a resistance of 5.0 O slides with constant speed down a pair of frictionless vertical conducting rails that are joined at the bottom. Other than the rod, the rest of the circuit is resistanceless. A uniform magnetic field of magnitude 3.0 T is perpendicular to the plane formed by the rod and the rails as shown. Determine the speed of the rod. a)0.38 m/s b)0.90 m/s c)2.6 m/s d)6.5 m/s e) 8.7 m/s

Explanation / Answer

B = 3.0 T, L = 1.0 m, m = 1.2 kg, R = 5.0 Ohm, find v emf = BvL current I = emf/R = BvL/R magnetic force F = IBL = (BL)^2*v/R constant speed ==> net force = 0 F = mg (BL)^2*v/R = mg so v = mgR/(BL)^2 = 6.5 m/s answer: d)

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