In a model AC generator, a 501 turn rectangular coil 10.0 cm by 23 cmrotates at

Question

   In a model AC generator, a 501 turn rectangular coil 10.0 cm by 23 cmrotates at 123 rev/min in a uniformmagnetic field of 0.6 T. (a) What is the maximum emf induced in thecoil?

(b) What is the instantaneous value of the emf in the coil att = (/32) s?Assume that the emf is zero at t = 0.
(c) What is the smallest value of t for which the emfwill have its maximum value?
(a) What is the maximum emf induced in thecoil?

(b) What is the instantaneous value of the emf in the coil att = (/32) s?Assume that the emf is zero at t = 0.
(c) What is the smallest value of t for which the emfwill have its maximum value?

Explanation / Answer

the maximum emf induced in the coil emf=B*N*Area* =123*2/60=12.88 rad/s Area=0.1*0.23 =>emf=89V (b) the instantaneous value of the emf in the coil att = (/32)s emf(t)=89*sin(t) t=/32 =>emf=84.9V (c) the smallest value of t for which the emfwill have its maximum value t=/2 =>t=0.122s

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