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If the area of a loop is doubled while the magnetic field remains constant, how

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Question: If the area of a loop is doubled while the magnetic field remains constant, how does the induced EMF change?

Options:

  1. Doubles
  2. Halves
  3. Remains the same
  4. Quadruples

Correct Answer: Doubles

Solution:

Induced EMF is proportional to the area of the loop. If the area is doubled, the induced EMF also doubles.

If the area of a loop is doubled while the magnetic field remains constant, how

Practice Questions

Q1
If the area of a loop is doubled while the magnetic field remains constant, how does the induced EMF change?
  1. Doubles
  2. Halves
  3. Remains the same
  4. Quadruples

Questions & Step-by-Step Solutions

If the area of a loop is doubled while the magnetic field remains constant, how does the induced EMF change?
  • Step 1: Understand that induced EMF (Electromotive Force) is related to the area of the loop in a magnetic field.
  • Step 2: Remember that if the area of the loop increases, the induced EMF also increases.
  • Step 3: Note that the problem states the area of the loop is doubled.
  • Step 4: Since the area is doubled, the induced EMF will also double.
  • Step 5: Conclude that if the area of the loop is doubled while the magnetic field remains constant, the induced EMF doubles.
  • Faraday's Law of Electromagnetic Induction – Induced EMF is proportional to the rate of change of magnetic flux, which depends on the area of the loop and the magnetic field strength.
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