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Three different coils produce a same EMF of 100 V when moved at a constant speed in the magnetic field. The induced EMF in the first coil lags to the induced EMF in the second coil and leads to the induced EMF in the third coil. So, what will be the resultant EMF in the series combination of the three coils?
  • a)
    300 V
  • b)
    0 V
  • c)
    100 V
  • d)
    100√2 V
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
Three different coils produce a same EMF of 100 V when moved at a cons...
Concept:
Coils induce EMF if moved with constant velocity in the magnetic field in accordance with Faraday's law of electromagnetic induction, and this EMF is also called Motional EMF. This is a basic law of electromagnetism.
Sum of 3 equal phasors at 0°,120°, -120° apart is zero.
Calculations :
Consider, E1 = 100∠0 V,  E2 = 100∠120 V,  E3 = 100∠-120 V
Resultant EMF, ER = E1 + E2 + E3
E= 100∠0 + 100∠120 + 100∠-120
ER = 100ej0 + 100ej120+100e−j120
=100[ej0+ej120+e−j120]
=100[1+2cos(120)]
0
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Community Answer
Three different coils produce a same EMF of 100 V when moved at a cons...
C) 100 V

The induced EMF in the first coil lags behind the second coil, and the induced EMF in the third coil leads the second coil. This means that the induced EMF in the first and third coils are out of phase with each other, but they are in phase with the induced EMF in the second coil.

When the three coils are connected in series, the voltages add up. Since the induced EMF in all three coils is the same at 100 V, the resultant EMF in the series combination will also be 100 V.
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Three different coils produce a same EMF of 100 V when moved at a constant speed in the magnetic field. The induced EMF in the first coil lags to the induced EMF in the second coil and leads to the induced EMF in the third coil. So, what will be the resultant EMF in the series combination of the three coils?a)300 Vb)0 Vc)100 Vd)100√2 VCorrect answer is option 'B'. Can you explain this answer?
Question Description
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