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:

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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.

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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