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A conductor PQ, with Vector PQ = Vector r, moves with a velocity Vector v in a uniform magnetic field of induction Vector B. The emf induced in the rod is(a) (Vector v X Vector B). Vector r(b) Vector v.(Vector r X Vector B)(c) Vector B. (Vector r X Vector v)(d) |Vector r X (Vector v X Vector V)| |
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Answer» Correct Answer is: (a) (Vector v X Vector B). Vector r Consider a unit charge inside the conductor. As the conductor moves with a velocity Vector v, the charge inside it will experience the force Vector F = Vector v X Vector B. If this unit charge is now moved from one end of the conductor to the other, its displacement is Vector r. Hence, the work done on it is Vector F. Vector r = (Vector v X Vector B). Vector r. This, by definition, is the emf across the conductor. |
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