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A metallic ring (radius R ) of negligible resistance has a resistance r connected across its diameter as shown in the figure. It is moving with velocity v 0 in a constant magnetic field B 0 acting perpendicular to the plane of the paper in the inward direction. The current in the resistance is:

Options

  1. A2 B R v 0 r
  2. BB R v 0 r
  3. CB R v 0 2 r
  4. D0

Correct answer

A. 2 B R v 0 r

Step-by-step solution

As induced emf is B l v for a moving rod, ∴ the arcs produce of emf of 2 B 0 v 0 R Applying KVL in the loop We get, 2 B 0 v 0 R = i r i = 2 B 0 v 0 R r

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