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What happens to the induced EMF if the area of the loop in a uniform magnetic fi

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Question: What happens to the induced EMF if the area of the loop in a uniform magnetic field is doubled while keeping the magnetic field constant?

Options:

  1. It doubles
  2. It halves
  3. It remains the same
  4. It becomes zero

Correct Answer: It doubles

Solution:

If the area of the loop is doubled, the induced EMF will also double, as it is directly proportional to the area.

What happens to the induced EMF if the area of the loop in a uniform magnetic fi

Practice Questions

Q1
What happens to the induced EMF if the area of the loop in a uniform magnetic field is doubled while keeping the magnetic field constant?
  1. It doubles
  2. It halves
  3. It remains the same
  4. It becomes zero

Questions & Step-by-Step Solutions

What happens to the induced EMF if the area of the loop in a uniform magnetic field is doubled while keeping the magnetic field constant?
  • Step 1: Understand that EMF (Electromotive Force) is induced in a loop when there is a change in magnetic flux.
  • Step 2: Know that magnetic flux is calculated as the product of the magnetic field strength (B) and the area of the loop (A).
  • Step 3: The formula for magnetic flux (Φ) is Φ = B * A.
  • Step 4: If the area (A) of the loop is doubled, the new area becomes 2A.
  • Step 5: Substitute the new area into the magnetic flux formula: Φ_new = B * (2A) = 2 * (B * A) = 2 * Φ.
  • Step 6: Since the induced EMF is directly proportional to the change in magnetic flux, if the flux doubles, the induced EMF also doubles.
  • Faraday's Law of Electromagnetic Induction – The induced EMF in a circuit is directly proportional to the rate of change of magnetic flux through the circuit, which depends on the area of the loop and the strength of the magnetic field.
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