If the area of a loop is doubled while keeping the magnetic field constant, how

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Question: If the area of a loop is doubled while keeping the magnetic field constant, how does the magnetic flux change?

Options:

Correct Answer: It doubles

Solution:

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

If the area of a loop is doubled while keeping the magnetic field constant, how does the magnetic flux change?

If the area of a loop is doubled while keeping the magnetic field constant, how does the magnetic flux change?

Step 1: Understand the formula for magnetic flux, which is Φ = B * A, where Φ is the magnetic flux, B is the magnetic field, and A is the area.
Step 2: Identify that in this question, the magnetic field B is constant, meaning it does not change.
Step 3: Note that the area A 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 formula: Φ = B * (2A).
Step 5: Simplify the equation: Φ = 2 * (B * A). This shows that the new magnetic flux is double the original magnetic flux.
Step 6: Conclude that if the area is doubled while keeping the magnetic field constant, the magnetic flux also doubles.

Magnetic Flux – Magnetic flux (Φ) is the product of the magnetic field (B) and the area (A) through which the field lines pass, represented by the formula Φ = B * A.
Area and Magnetic Flux Relationship – The relationship between area and magnetic flux indicates that if the area is increased while the magnetic field remains constant, the magnetic flux will also increase proportionally.