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Magnetism And Matter

Question
CBSEENPH12039979

A thin ring of radius R metre has charge q column uniformly spread on it. The ring rotates about its axis with a constant frequency of  f revolution/s. The value of magnetic induction in Wb m-2 at the centre of the ring is

  • μoq f/ 2π R

  • μoq / f 2π R

  • μoq / 2 f R

  • μoq f / 2 R

Solution

D.

μoq f / 2 R

The magentic field at the centre of the circle
fraction numerator straight mu subscript straight o over denominator 4 straight pi end fraction space straight x space fraction numerator 2 πi over denominator straight R end fraction space equals space straight mu subscript straight o over 2 fraction numerator left parenthesis straight q right parenthesis over denominator Rt end fraction