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Examoogle • User • info@examoogle.com • EE-2024-8821
Chapter 1 of 12 • Page 1 of 248🔒 Protected PDF • Watermarked
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A square loop of side length 'a' is placed in a uniform magnetic field B perpendicular to the plane of the loop. The magnetic flux linked with the loop is:
B ⋅a
B ⋅a²
B / a²
zero
B ⋅a²
The magnetic flux ΦB through a surface is defined as the product of the magnetic field intensity B and the area A perpendicular to the field. For a square loop with side a, the area A is equal to a2, and since the field is perpendicular, the flux is simply B⋅a2.
The magnetic flux ΦB through a surface is defined as the product of the magnetic field intensity B and the area A perpendicular to the field. For a square loop with side a, the area A is equal to a2, and since the field is perpendicular, the flux is simply B⋅a2.
Think of magnetic flux like the amount of water flowing through a window frame; if the frame is fully perpendicular to the flow, you multiply the water speed (magnetic field) by the frame's window area to get the total flow.
BA-Area: Flux is B times the Area.
ΦB=∫B⋅dA — Definition of magnetic flux through a surface
ΦB=BAcos(θ) — Simplified formula for uniform fields
Magnetic flux is represented by the scalar product of the magnetic field vector B and the area vector A, expressed as ΦB=B⋅A=BAcos(θ). Here, the field is perpendicular to the loop, meaning the angle between the field and the normal to the area is 0°. Since cos(0°)=1, the flux simplifies to B×A.
Magnetic flux is a scalar quantity measuring the total magnetic field passing through a specific surface area.
When the magnetic field lines are perpendicular to the loop, the flux is at its maximum value.
If the loop were parallel to the field, the flux would be zero as the area vector would be at 90° to the field.
The SI unit of magnetic flux is the Weber (Wb).
Operation of electric generators based on Faraday's law of induction.
Design of transformers and inductors in electronic circuits.
The area of a square is a2.
Option A is dimensionally incorrect for flux as it omits the squared term for area.
Option C suggests an inverse relationship which is incorrect.
Option D is only true when the loop is parallel to the magnetic field.
B is correct — The magnetic flux is the product of the uniform magnetic field B and the area of the loop a2 when the field is perpendicular to the plane.
Always check the orientation of the loop relative to the field; if the angle θ between the area normal and B is not 0, you must multiply by cos(θ).