In a model AC generator, a 499 turnrectangular coil 5.0 cm by 28 cm rotates at 1

Question

In a model AC generator, a 499 turnrectangular coil 5.0 cm by 28 cm rotates at 115 rev/minin a uniform magnetic field of 0.62 T. (a) What is the maximum emf induced in thecoil?
1 V

(b) What is the instantaneous value of the emf in the coil att = (/37) s? Assumethat the emf is zero at t =


(c) What is the smallest value of t for which the emf willhave its maximum value?
3 s (a) What is the maximum emf induced in thecoil?
1 V

(b) What is the instantaneous value of the emf in the coil att = (/37) s? Assumethat the emf is zero at t =


(c) What is the smallest value of t for which the emf willhave its maximum value?
3 s

Explanation / Answer

Given      number of turns   N = 499    area of the coil   = 5*28  = 0.014 m2 angular speed    = 115rev   / min                               =   115 * 2*3.14   / 60                               =   12 rads / sec magnitude of magnetic field B = 0.62T maximum induced in the coil o = N B A       = 499*0.62*0.014*12       = 52 V instantaneous value of the emf in the coil at  t = (/37) s                =   o sin t                      = 52 * sin ( 12*3.14/37 )                    = 0.92 V if =   o           sint = 1              t = 90                t   = 90 / 12                    = 7.5 s

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