What happens to the induced EMF if the area of the loop in a uniform magnetic field is doubled while keeping the magnetic field constant?

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Q: What happens to the induced EMF if the area of the loop in a uniform magnetic field is doubled while keeping the magnetic field constant?

Solution: If the area of the loop is doubled, the induced EMF will also double, as it is directly proportional to the area.

Steps: 6

Step 1: Understand that EMF (Electromotive Force) is induced in a loop when there is a change in magnetic flux.
Step 2: Know that magnetic flux is calculated as the product of the magnetic field strength (B) and the area of the loop (A).
Step 3: The formula for magnetic flux (Φ) is Φ = B * A.
Step 4: If the area (A) of the loop is doubled, the new area becomes 2A.
Step 5: Substitute the new area into the magnetic flux formula: Φ_new = B * (2A) = 2 * (B * A) = 2 * Φ.
Step 6: Since the induced EMF is directly proportional to the change in magnetic flux, if the flux doubles, the induced EMF also doubles.