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

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

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.