In a model AC generator, a 496 turn rectangular coil 13.0 cm by 22 cm rotates at

Question

In a model AC generator, a 496 turn rectangular coil 13.0 cm by 22 cm rotates at 124 rev/min in a uniform magnetic field of 0.58 T (a) What is the maximum emf induced in the coil? 7.18 10"-3 X Your response differs signifcantly from the correct answer. Rework your solution from the beginning and check each step carefully, V (b) what is the instantaneous value of the emf in the coil at t-(m/31) s? Assume that the emf is zero at t·0. (c) What is the smallest value of t for which the emf will have its maximum value?

Explanation / Answer

a)

Maximum emf induced in the coil is

Emax=NBAW =496*0.58*(0.13*0.22)*(124*2pi/60)

Emax=106.84 Volts

b)

E=EmaxSIn(Wt)

E=106.84Sin(124*(2pi/60)*pi/31)

E=103.39 Volts

c)

Given

Sin(Wt) =1

Wt=Sin-1(1)=pi/2

(124*2pi/60)*t =pi/2

t=0.121 s

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