A circular loop of radius r is placed in a uniform magnetic field B. If the magn
Practice Questions
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
Questions & Step-by-Step Solutions
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?
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.
Magnetic Flux – Magnetic flux is the product of the magnetic field and the area through which it passes, taking into account the angle between the field and the normal to the surface.
Area of a Circle – The area of a circular loop is calculated using the formula A = πr², where r is the radius of the circle.
Uniform Magnetic Field – A uniform magnetic field has the same strength and direction at all points in the region.
