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How do you calculate magnetic flux when the magnetic field is constant?
Use the formula: $\Phi_{B} = \vec{B} \cdot \vec{A}$.
How do you calculate total magnetic flux when the magnetic field varies across the surface?
Use the formula: $\Phi_{B} = \int \vec{B} \cdot d\vec{A}$.
What is the first step to calculate magnetic flux?
Determine if the magnetic field is constant or varying across the area.
What is the second step to calculate magnetic flux?
Identify the area vector and its direction relative to the magnetic field.
What is the third step to calculate magnetic flux?
Apply the appropriate formula ($\Phi_{B} = \vec{B} \cdot \vec{A}$ for constant field, $\Phi_{B} = \int \vec{B} \cdot d\vec{A}$ for varying field) and solve.
What is the difference between calculating flux with a constant magnetic field and a varying magnetic field?
Constant field: Use $\Phi_{B} = \vec{B} \cdot \vec{A}$. Varying field: Use $\Phi_{B} = \int \vec{B} \cdot d\vec{A}$ (integration).
Compare positive and negative magnetic flux.
Positive Flux: $\vec{B}$ and $\vec{A}$ point in similar directions. Negative Flux: $\vec{B}$ and $\vec{A}$ point in opposite directions.
Compare scalar and vector quantities.
Scalar: Magnitude Only. Vector: Magnitude and Direction.
Compare magnetic flux and magnetic field.
Magnetic flux: the amount of magnetic field 'stuff' passing through a surface. Magnetic field: a field of force produced by a moving electric charge.
Compare Faraday's Law and Lenz's Law.
Faraday's Law: The change in magnetic flux through a loop induces an electromotive force (EMF). Lenz's Law: The induced current flows in a direction that opposes the change in flux that produced it.
What is magnetic flux?
The amount of magnetic field passing through a surface.
Define area vector.
A vector that points perpendicular to the plane of the surface; for closed surfaces, it points outward.
What is the unit of magnetic flux?
Weber (Wb). 1 Wb = 1 T·m².
What is infinitesimal area element?
Represents a tiny area of the surface. Its direction matches the area vector at that point.
What is the significance of the sign of magnetic flux?
The sign indicates whether the magnetic field is entering or leaving the surface.