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Magnetic flux linked with the conducting loop "A" is increased at the rate of 15 weber/second per and another conducting loop "B" is decreased at the rate of 15 weber/second, the ,magnitude of induced emf of:

Correct answer: A. Loop A will induce an EMF equal to that of Loop B.

  • A. Loop A will induce an EMF equal to that of Loop B.
  • B. Loop A is smaller than Loop B.
  • C. Loop B is smaller than Loop A.
  • D. Both will have zero induced EMF.

Explanation

The induced EMF in a loop is directly proportional to the rate of change of magnetic flux through the loop, as described by Faraday's law of electromagnetic induction. In this case, Loop A is having its magnetic flux increased at a rate of 15 weber/second, while Loop B is having its magnetic flux decreased at the same rate of 15 weber/second. Therefore, both loops will experience an induced EMF of equal magnitude but opposite direction. This leads to the conclusion that Loop A will have an induced EMF equal to that of Loop B. Option B is incorrect because the size of the loops does not affect the induced EMF in this context. Option C is similarly incorrect for the same reason. Option D is incorrect because both loops are experiencing changes in magnetic flux, resulting in non-zero induced EMF.

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About Electromagnetism

Magnetic flux density and magnetic flux describe the strength of a magnetic field and the field passing through a surface. A charged particle moving through a magnetic field experiences a force perpendicular to its velocity and may follow circular or helical motion, depending on the angle between velocity and field.

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