If the magnetic field through a loop is doubled while the area remains constant,

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

Options:

Correct Answer: Magnetic flux doubles

Solution:

Magnetic flux is given by the product of magnetic field strength and area. If the magnetic field is doubled, the magnetic flux also doubles.

If the magnetic field through a loop is doubled while the area remains constant, what happens to the magnetic flux?

If the magnetic field through a loop is doubled while the area remains constant, what happens to the magnetic flux?

Step 1: Understand what magnetic flux is. Magnetic flux is the measure of the amount of magnetic field passing through a certain area.
Step 2: Know the formula for magnetic flux. The formula is: Magnetic Flux = Magnetic Field Strength × Area.
Step 3: Identify the variables in the problem. The area is constant, and the magnetic field strength is doubled.
Step 4: Since the area does not change, we focus on the magnetic field strength. If the magnetic field strength is doubled, we can write it as: New Magnetic Field = 2 × Original Magnetic Field.
Step 5: Substitute the new magnetic field strength into the formula for magnetic flux. This gives us: New Magnetic Flux = (2 × Original Magnetic Field) × Area.
Step 6: Simplify the equation. This shows that the new magnetic flux is twice the original magnetic flux.
Step 7: Conclude that if the magnetic field is doubled, the magnetic flux also doubles.

Magnetic Flux – Magnetic flux is defined as 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.