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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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Do magnetic flux lines intersect?
Yes
No
Depends on the situation
Cannot be determined
No
Magnetic flux lines never intersect each other. If two magnetic lines of force were to intersect at a point, it would imply two different directions of the magnetic field vector (B) at that exact location, which is physically impossible.
Magnetic flux lines never intersect each other. If two magnetic lines of force were to intersect at a point, it would imply two different directions of the magnetic field vector (B) at that exact location, which is physically impossible.
B=∇×A — Magnetic field vector derived from magnetic vector potential
∇⋅B=0 — Gauss's law for magnetism showing continuous, non-divergent flux lines
At any point in a magnetic field, the direction of the magnetic field vector B is defined uniquely by the tangent drawn to the line of force at that point. Since a vector quantity can have only one resultant direction at a given point in space, magnetic field lines must form continuous, non-intersecting closed loops.
Magnetic lines of force form continuous, closed loops going from North to South outside a magnet and South to North inside.
The tangent at any point on a magnetic flux line gives the direction of the magnetic field B at that point.
Flux lines behave like stretched elastic strings that repel each other laterally, preventing intersection.
Flux line plotting in magnetic circuit analysis for transformers and electrical machines.
Predicting magnetic field distributions and flux leakage in electric motors and generators.
Option A is incorrect because intersection would require two distinct magnetic vector directions at a single point.
Option C and D are incorrect because the non-intersection rule is a fundamental property of vector fields with a unique resultant direction.
B is correct — Magnetic flux lines cannot intersect because the resultant magnetic field vector at any given point must have a single, unique direction.
In electromagnetics, remember that both electric field lines (in static fields) and magnetic flux lines cannot cross each other due to vector field uniqueness, but magnetic lines always form closed loops (∇⋅B=0) unlike electrostatic lines.