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The vector potential in magnetic field (represented by A), what does that physically mean? I have serious problem in understanding it intuitively.

$$\nabla^2\text{A} = -\mu_0 \text{j}$$

I read that the above equation can be derived using continuity equation. Can it be derived? if possible how? Thank you.

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The short answer is the vector potential is such that the curl of it gives the B field. (Taking a curl is often easier than integrating.) There is also a fascinating quantum mechanical effect, such that the vector potential leads to a phase change of particles. I went looking on line and it's hard to beat the Feynman lectures. Enjoy!

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  • \$\begingroup\$ I read through the whole lectures of feynman found it really helpful and got to know about the derivation too.thank u \$\endgroup\$ – ArAvind Dec 17 '15 at 15:09

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