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A Rectangular Coil of Area A, Having Number of Turns N is Rotated at 'F' Revolutions per Second in a Uniform Magnetic Field B, the Field Being Perpendicular to the Coil. Prove that the Maximum Emf Induced in the Coil is 2 πF Nba. - Physics

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प्रश्न

A rectangular coil of area A, having the number of turns N is rotated at 'f' revolutions per second in a uniform magnetic field B, the field being perpendicular to the coil. Prove that the maximum emf induced in the coil is 2 πf NBA.

उत्तर

We know that flux is given by

`phi=NBACostheta`

we also know,

`e=-(dphi)/dt=(-NBA(-sintheta)(d theta)/dt)`

`=NBAsin theta(2pif)`

For maximum induced emf = sinθ = 1

`e_max=(-NBAsin theta (d theta)/dt)`

`=NBA(2pif)`

Hence proved.

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2015-2016 (March) All India Set 2 C

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