Question

In a model AC generator, a 497 turn rectangular coil 14.0 cm by 23 cm rotates at 115 rev/min in a uniform magnetic field of 0.58 T.

(a) What is the maximum emf induced in the coil?
V

(b) What is the instantaneous value of the emf in the coil at t = (?/39) s? Assume that the emf is zero at t = 0.
V

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

Answer 1

I have solved this question earlier with different figures. Please workout using yours figures. If you need any further help just PM me. If I have helped you please rate me 5 stars first (before you rate anyone else)

In a model AC generator, a 497 turn rectangular coil 10.0 cm by 23cm rotates at 124 rev/min in a uniform magnetic field of 0.6 T.

(b) What is the instantaneous value of the emf in the coil at t =(?/30) s? Assume that the emf is zero at t = 0.
_____ V

(c) What is the smallest value of t for which the emf will have itsmaximum value?
______ s

Given :

          Number of turns (N) = 497

(b)

          the instantaneous value of the emf in the coil at t = (?/30) sis :

                        ?   = ?_max sin?t

                             = ( N B A ? ) sin ( 4? x ? /30)

                              =  [497 *0.6 *0.1*0.23*124 * (2? / 60 ) rad /s ] sin (4 ?² / 30)

                             = 89.0154 * sin (1.3146)

                             = 89.0154 * 0.229 = 2.042 V

(c)

        emf will haveits maximum value at

                           sin ?t = 1

                            sin?t   = sin ? / 2

                                ? t  = ? / 2

                                    t   = ? / 2?

                                         = ? / [2 * 124 * (2? / 60 ) ]

                                        = 0.120 s

Hope this helps u!