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Need answer for all three parts! please help, will rate 5 star immediately for c

ID: 1306991 • Letter: N

Question

Need answer for all three parts! please help, will rate 5 star immediately for correct ans

In a model AC generator, a 507-turn rectangular coil, 6.8 cm by 25 cm, rotates at 97 rev/min in a uniform magnetic field of 0.93 T. What is the maximum emf induced in the coil? Answer in units of V What is the instantaneous value of the emf in the coil at t = pi/23 s? Assume that the zero at t = 0. Answer in units of V What is the smallest value of t for which the emf will have its maximum value? Answer in units of s

Explanation / Answer

1.

W=97*(2pi/60)

W=10.16 rad/s

Area of rectangular coil

A=0.068*0.25=0.017 m2

Maximum Induced EMF

Emax=NBAW =507*0.93*10.16*0.017

Emax=81.42 Volts

b)

E=EmaxSin(Wt) =81.42*(10.16*pi/23)

E=80.05 Volts

c)

Given

E=Emax

=>Sin(Wt)=1

Wt=pi/2

t=pi/2W =pi/2*10.16

t=0.1546 s

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