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The drawing shows three identical rods (A, B, and C) moving indifferent planes.

ID: 1673675 • Letter: T

Question

The drawing shows three identical rods (A, B, and C) moving indifferent planes. A constant magnetic field of magnitude 0.37 T isdirected along the +y axis. The length of each rod isL = 1.2 m, and the speeds are the same,vA = vB =vC = 2.5 m/s. Find the magnitude of themotional emf for the rods (a) A,(b) B, and (c) C.

The drawing shows three identical rods (A, B, and C) moving indifferent planes. A constant magnetic field of magnitude 0.37 T isdirected along the +y axis. The length of each rod isL = 1.2 m, and the speeds are the same,vA = vB =vC = 2.5 m/s. Find the magnitude of themotional emf for the rods (a) A,(b) B, and (c) C.

Explanation / Answer

Rod A: E = 0 here since the vA is parallel to B, so the chargesexperience no magnetic force. Rod B: E = vBL = (2.5 m/s)(0.37 T)(1.2 m) = 1.11 V, and thepositive end is 2. Rod C: E = 0 here since the magnetic force on each charge isdirected perpendicular to the length of the rod. For the ends to becomecharges, the rod’s length must be parallel to the magnetic force, F.

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