A rectangular coil of N turns and of length a and width b is rotated at frequenc

Question

A rectangular coil of N turns and of length a and width b is rotated at frequency fin a uniform magnetic field of magnitude B, as indicated in the figure. The coil is connected to co-rotating cylinders, against which metal brushes slide to make contact. The emf induced in the coil is given (as a function of time t) by This is he principle of the commercial alternating-current generator What value of Nab gives an emf with element = 244 V when he loop is rotated at 71.0 rev/s in a uniform magnetic field of 0.576 T?

Explanation / Answer

Given that

magnetic field B=0.576 T

angular frequency w=71 rev/s

amplitude of the induced emf Eo=244 v

step;2

now we find the value Nab

Eo=w*Nab*B

244=2*3.14*71*Nab*0.576

244=256.83*Nab

Nab=0.95

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