In a model AC generator, a 499 turnrectangular coil 10.0 cm by29 cm rotates at 1

Question

In a model AC generator, a 499 turnrectangular coil 10.0 cm by29 cm rotates at 125 rev/min in a uniform magnetic field of0.59 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 = (/30) s?Assume that the emf is zero at t = 0.
2 V
(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 = (/30) s?Assume that the emf is zero at t = 0.
2 V
(c) What is the smallest value of t for which the emf willhave its maximum value?
3 s

Explanation / Answer

No.of truns N = 499 Area A = 10 cm * 29 cm = 290 cm ^ 2 = 0.029 m ^ 2 angular speed w = 125 rev / min                          = 125 * 2 rad / 60 s                          = 13.089 rad / s magnetic field B = 0.59 T (a). maximum induced emf in the coil E = BANw                                                            = 111.76 V (b). we know emf at time t is E ' = E sin wt                                                   = 111.76 sin ( 13.089 t ) substitue t = / 30 we get   E ' =109.52 V (c). If sin wt = 1 then emf is maximum               wt = / 2      13.089 t = 1.57 from this time t = 0.12 s

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