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Question

Physics Question on Alternating current

In an AC generator, a coil with NN turns, all of the same area AA and total resistance RR, rotates with frequency ω\omega in a magnetic field BB. The maximum value of emf generated in the coil is:

A

N.A.B.R.ωN.A.B.R.\, \omega

B

N.A.BN.A.B

C

N.A.B.RN.A.B.R

D

N.A.B.ωN.A.B.\, \omega

Answer

N.A.B.ωN.A.B.\, \omega

Explanation

Solution

The emf generated would be maximum when flux (cutting) would be maximum i.e., angle between area vector of coil and magnetic field is 0??.Theemfgeneratedisgivenby[asafunctionoftime]0^??. The emf generated is given by [as a function of time] e=NBA\omega,cos,\omega t \Rightarrow e_{max}=NAB\omega$