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arectangular coil of areaA,no of turnsN isrotated of f rev per sec in a uniform magneticfieldB,the field being perpendicular to the coil.prove that themaximum emf induced in the coil is 2(pi)fNBA.

SNEHA KHAITAN , 12 Years ago
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anser 1 Answers
gauhar singh

Last Activity: 12 Years ago

Let at any instant angle between flux n perpendicular to face of coil be   Wt where W is angular velocity and time is t.

flux(F) through coil is ABcosWt i.e. dot product of field strenght n aerial vector of face of coil

d(F)/dt= induced emf by faraday''s law

on difff,

induced emf (E) = -ABWSinWt

But W=2(pi)f

hence E = -2(pi)fABSinWt . max value of sinWt =1 hence proved

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