In a model AC generator, a 504 turnrectangular coil 5.0 cm by 20 cm rotates at 1

Question

In a model AC generator, a 504 turnrectangular coil 5.0 cm by 20 cm rotates at 124 rev/minin a uniform magnetic field of 0.57 T. (a) What is the maximum emf induced in thecoil?
V

(b) What is the instantaneous value of the emf in the coil att = (/37) s? Assumethat the emf is zero at t = 0.
V

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

(b) What is the instantaneous value of the emf in the coil att = (/37) s? Assumethat the emf is zero at t = 0.
V

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

Explanation / Answer

   InducedEMF   E   =   E0* sin * t   =    * N * B* A * sin t    here   E0   =   * N * B * A   =   Maximum inducedEMF,          =   Angularspeed of coil   =   124rev/min   =   102 * 2 /60   =   10.68   rad/s,    N   =   No. ofturns in thecoil   =   504,   B   =   Magneticfieldstrength   =   0.57   T    A   =   areaof coil   =   5 * 20cm2   =   10-2   m2    a.   Maximum inducedEMF   E0   =   10.68* 504 * 0.57 *10-2   =   30.68   V    b.   E   =   30.68* sin { 10.68 * /37}   =   24.15   V    c.   given   E   =   E0       =>   E0   =   E0* sin t    sint   =   1           *t   =   /2          t   =   3.14/ (2 *10.68)   =   0.147   s       =>   E0   =   E0* sin t    sint   =   1           *t   =   /2          t   =   3.14/ (2 *10.68)   =   0.147   s

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