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In a model AC generator, a 500 turnrectangular coil 15.0 cm by 30 cm rotates at

ID: 1739877 • Letter: I

Question

In a model AC generator, a 500 turnrectangular coil 15.0 cm by 30 cm rotates at 125 rev/minin a uniform magnetic field of 0.63 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 = (/38) s? Assumethat 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 = (/38) s? Assumethat 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

Given No of turns N = 500 area of the rectangular coil A =15*30cm2                                              = 450cm2                                                 = 450*10-4m2 angular frequency = 125rev/min                               = 125*2/60 rad/s magnetic field B = 0.63 T a) The maximum emf is max = NBA                                         = --------------- b) at t = (/38) sthe instantaneous value of the emf in the coil is      =maxsint          =---------------- c)     = NBAsint is maximum when sint = 1    or sint = sin/2     or t = /2         so t =/2                 =--------------- angular frequency = 125rev/min                               = 125*2/60 rad/s magnetic field B = 0.63 T a) The maximum emf is max = NBA                                         = --------------- b) at t = (/38) sthe instantaneous value of the emf in the coil is      =maxsint          =---------------- c)     = NBAsint is maximum when sint = 1    or sint = sin/2     or t = /2         so t =/2                 =---------------
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