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If the area of a loop in a magnetic field is doubled while keeping the magnetic

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Question: If the area of a loop in a magnetic field is doubled while keeping the magnetic field strength constant, what happens to the magnetic flux through the loop?

Options:

  1. It doubles
  2. It halves
  3. It remains the same
  4. It quadruples

Correct Answer: It doubles

Solution: 

Magnetic flux (Φ) is given by Φ = B * A. If the area (A) is doubled and the magnetic field (B) remains constant, the magnetic flux also doubles.

If the area of a loop in a magnetic field is doubled while keeping the magnetic

Practice Questions

Q1
If the area of a loop in a magnetic field is doubled while keeping the magnetic field strength constant, what happens to the magnetic flux through the loop?
  1. It doubles
  2. It halves
  3. It remains the same
  4. It quadruples

Questions & Step-by-Step Solutions

If the area of a loop in a magnetic field is doubled while keeping the magnetic field strength constant, what happens to the magnetic flux through the loop?
  • Step 1: Understand that magnetic flux (Φ) is calculated using the formula Φ = B * A, where B is the magnetic field strength and A is the area of the loop.
  • Step 2: Identify that in this scenario, the magnetic field strength (B) remains constant.
  • Step 3: Note that the area (A) of the loop is being doubled, which means if the original area is A, the new area will be 2A.
  • Step 4: Substitute the new area into the magnetic flux formula: Φ = B * (2A).
  • Step 5: Simplify the equation: Φ = 2 * (B * A). This shows that the new magnetic flux is twice the original magnetic flux.
  • Step 6: Conclude that if the area of the loop is doubled while keeping the magnetic field strength constant, the magnetic flux through the loop also doubles.
  • Magnetic Flux – Magnetic flux (Φ) is the product of the magnetic field strength (B) and the area (A) through which the field lines pass, represented by the formula Φ = B * A.
  • Area and Magnetic Field Relationship – Understanding how changes in the area of a loop affect the magnetic flux when the magnetic field strength is held constant.
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