If the magnetic field through a loop is doubled while the area remains constant, what happens to the magnetic flux?
Practice Questions
1 question
Q1
If the magnetic field through a loop is doubled while the area remains constant, what happens to the magnetic flux?
Magnetic flux doubles
Magnetic flux halves
Magnetic flux remains the same
Magnetic flux becomes zero
Magnetic flux is given by the product of magnetic field strength and area. If the magnetic field is doubled, the magnetic flux also doubles.
Questions & Step-by-step Solutions
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Q
Q: If the magnetic field through a loop is doubled while the area remains constant, what happens to the magnetic flux?
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.
Steps: 7
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.
