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Magnetic Flux and Faraday's Law

A cycle wheel...

Question

A cycle wheel with 64 spokes is rotating with N rotations per second at right angles to horizontal component of magnetic field. The induced emf generated between its axle and rim is E. If the number of spokes is reduced to 32 then the value of induced emf will be :

A

E

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B

2E

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C

\frac{E}{2}

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D

\frac{E}{4}

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Solution

The correct option is A E
The emf induced is independent of the number of spoke and only depends on the lenght of spoke and the angular speed.
Therefore emf induced is same as before = $E$

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A cyclic wheel with 64 spokes is rotating with N rotations per second at right angles to horizontal component of earth’s magnetic field. The induced emf generated between its axle and rim is E. If the number of spokes is reduced to 32 and makes N rotations per second then the value of induced emf will be

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