If the area of a coil is doubled while keeping the magnetic field constant, what happens to the magnetic flux through the coil? (2023)
Practice Questions
1 question
Q1
If the area of a coil is doubled while keeping the magnetic field constant, what happens to the magnetic flux through the coil? (2023)
It doubles
It halves
It remains the same
It quadruples
Magnetic flux (Φ) is given by the product of magnetic field (B) and area (A). If the area is doubled and the magnetic field remains constant, the magnetic flux also doubles.
Questions & Step-by-step Solutions
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Q
Q: If the area of a coil is doubled while keeping the magnetic field constant, what happens to the magnetic flux through the coil? (2023)
Solution: Magnetic flux (Φ) is given by the product of magnetic field (B) and area (A). If the area is doubled and the magnetic field remains constant, the magnetic flux also doubles.
Steps: 6
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.
