A circular loop of radius r is placed in a uniform magnetic field B. If the magnetic field is perpendicular to the plane of the loop, what is the magnetic flux through the loop?
Practice Questions
1 question
Q1
A circular loop of radius r is placed in a uniform magnetic field B. If the magnetic field is perpendicular to the plane of the loop, what is the magnetic flux through the loop?
0
πr²B
2πrB
B/r
The magnetic flux Φ through a surface is given by Φ = B * A, where A is the area. For a circular loop, A = πr², so Φ = B * πr².
Questions & Step-by-step Solutions
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Q
Q: A circular loop of radius r is placed in a uniform magnetic field B. If the magnetic field is perpendicular to the plane of the loop, what is the magnetic flux through the loop?
Solution: The magnetic flux Φ through a surface is given by Φ = B * A, where A is the area. For a circular loop, A = πr², so Φ = B * πr².
Steps: 5
Step 1: Understand that magnetic flux (Φ) measures how much magnetic field passes through a surface.
Step 2: Know the formula for magnetic flux: Φ = B * A, where B is the magnetic field strength and A is the area of the surface.
Step 3: Identify that the area (A) of a circular loop is calculated using the formula A = πr², where r is the radius of the loop.
Step 4: Substitute the area formula into the magnetic flux formula: Φ = B * (πr²).
Step 5: Conclude that the magnetic flux through the loop is given by Φ = B * πr².
