Intuitive/conceptual understanding of magnetic vector potential

[HJ Farnsworth]

Greetings everyone,

I have been reading up on the magnetic vector potential, and I understand the vector calculus behind its definition and use. However, I am seeking an intuitive way to understand what it is conceptually, not just mathematically.

I am assuming that any conceptual understanding of it will be analogous somehow to the electric scalar potential, which is very easy to understand conceptually. So, if you have a good answer, could you please explain how they are analogous, or tell me that my assumption is wrong?

Thanks for any help you can give.

-HJ Farnsworth

 

[netheril96]

The interactive energy of electrostatic field is
$$W=\int \rho\varphi {\rm d}V$$

And that of static magnetic field
$$W=\int \vec{j}\cdot\vec{A} {\rm d}V$$.

This is the only analogous aspect I can think of, except they are both called "potential".

 

[HJ Farnsworth]

Greetings everyone,

In searching for an answer to my question, I found some mathematical similarities like the one that netheril found (by the way, thanks for responding, netheril).

I also emailed the question to some professors, including the one who wrote my electromagnetism textbook. The unanimous response that I got back was that the magnetic vector potential has no obvious physical interpretation, and that it is essentially used as a tool in doing calculations.

-HJ Farnsworth