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

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?

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?

Correct Answer: Magnetic flux doubles.

Step 1: Understand what magnetic flux (Φ) is. It is the product of the magnetic field strength (B) and the area (A) through which the field lines pass.
Step 2: Write down the formula for magnetic flux: Φ = B * A.
Step 3: Identify that the magnetic field strength (B) is constant in this scenario.
Step 4: Note that the area (A) of the loop is being doubled. This means if the original area is A, the new area will be 2A.
Step 5: Substitute the new area into the formula: Φ = B * (2A).
Step 6: Simplify the equation: Φ = 2 * (B * A).
Step 7: Recognize that B * A is the original magnetic flux, so the new magnetic flux is double the original flux.
Step 8: Conclude that if the area is doubled while keeping the magnetic field strength constant, the magnetic flux 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 Flux Relationship – Doubling the area while keeping the magnetic field strength constant directly affects the magnetic flux, leading to a proportional increase.