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.
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