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Question

A conducting wheel in which there are four rods of length l is rotating with angular velocity ω in a uniform magnetic field B. The induced potential difference between its centre and rim will be:


A
0
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B
Bωl2
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C
2Bωl2
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D
Bωl22
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Solution

The correct option is D Bωl22
According to Faraday's law of electromagnetic induction, the induced emf is equal to the rate of change of magnetic flux.

We know that induced emf in a conducting rod rotating in a uniform magnetic field is given by

E=Bωl22

Since, all four rods are connected between center and the rim behaves like a cell, and they are all connected in parallel, so the induced potential difference between its centre and rim will be equal to induced emf across each rod.

Ewheel=Bωl22

Hence, option (D) is correct.

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