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If the area of a coil is doubled while keeping the magnetic field constant, what

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Question: If the area of a coil is doubled while keeping the magnetic field constant, what happens to the magnetic flux through the coil? (2023)

Options:

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

Correct Answer: It doubles

Exam Year: 2023

Solution: 

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

If the area of a coil is doubled while keeping the magnetic field constant, what

Practice Questions

Q1
If the area of a coil is doubled while keeping the magnetic field constant, what happens to the magnetic flux through the coil? (2023)
  1. It doubles
  2. It halves
  3. It remains the same
  4. It quadruples

Questions & Step-by-Step Solutions

If the area of a coil is doubled while keeping the magnetic field constant, what happens to the magnetic flux through the coil? (2023)
  • Step 1: Understand that magnetic flux (Φ) is calculated using the formula Φ = B × A, where B is the magnetic field and A is the area of the coil.
  • Step 2: Note that in this scenario, the magnetic field (B) is kept constant.
  • Step 3: Recognize that if the area (A) of the coil is doubled, it means the new area is 2A.
  • Step 4: Substitute the new area into the formula: Φ = B × (2A).
  • Step 5: Simplify the equation: Φ = 2 × (B × A).
  • Step 6: This shows that the new magnetic flux is double the original magnetic flux, meaning it also doubles.
  • Magnetic Flux – Magnetic flux (Φ) is defined as the product of the magnetic field (B) and the area (A) through which the field lines pass, expressed as Φ = B * A.
  • Doubling Area – When the area of the coil is doubled while keeping the magnetic field constant, the magnetic flux is directly proportional to the area.
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