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A coil of cross-sectional area A having ...

A coil of cross-sectional area A having n turns is placed in uniform magnetic field B. When it is rotated with an angular velocity `omega`, the maximum e.m.f. induced in the coil will be :

Text Solution

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When the coil lies in the plane perpendicular to the magnetic field, the magnetic flux through the coil has its greatest possible value, NBA. As the coil rotates, the surface area vector associated with the coil is no longer perpendicular to the magnetic field, and thus changes with time. At any time, the angle between the surface area vector and the magnetic field is `omega`t, so the flux through the coil is
`phi=NBAcosomegat`
Therefore, the emf is
`emf=-d/(dt)(NBAcosomegat)=NBAomegasinomegat`
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