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In an AC generator, a coil with N turns all of the same area A and total resistance R, rotates with frequency ω in a magnetic field B. The maximum value of emf generated in the coil will be ______.

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Question

In an AC generator, a coil with N turns all of the same area A and total resistance R, rotates with frequency ω in a magnetic field B. The maximum value of emf generated in the coil will be ______.

Options

  • NABRω

  • NAB

  • NABR

  • NABω

MCQ
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Solution

In an AC generator, a coil with N turns all of the same area A and total resistance R, rotates with frequency ω in a magnetic field B. The maximum value of emf generated in the coil will be NABω.

Explanation:

In an AC generator, the emf generated is maximum when the flux is maximum. It is possible if the angle between the area vector of the coil and the magnetic field is 0°. In such a case, the emf generated is e = NBAω cos ωt. On neglecting cos ωt, the maximum value of the emf generated in the coil is e = NBA ω.

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