Magnetostatics - Magnetic Vector Potential - The vector potential

5 important questions on Magnetostatics - Magnetic Vector Potential - The vector potential

How does the magnetic vector potential look like?

The closest to the current. The strongest it is.

The divergence of B invites the "vector "potential to be?

You can add to  Aany function whose curl vanishes (Gradient of any scalar) with no effect on B. With this you can elimate the divergence of A.

WHat does poissons equation look like for amperes law?

It actually has three poisons equation
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How can we also calculate the vector potential if symmetry permits?

The vector potential is the parallel to the current, so it can be circumferential.

What is the vector potenital outside the solenoid?

It is the same but the flux only extends to vector R (the Amperian loop). This works and the divergence of A is still equal to zero and the curl of A is still equal to B.

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