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Magnetic scalar potential is defined as ...

Magnetic scalar potential is defined as
`U(vec r_2) - U vec (r_1) = - int_vec(r_1) ^vec(r_2) vecB.vec(dl)`
Apply this equation to a closed curve enclosing a long straight wire. The RHS of the above equation is then `mu_0 i` by Ampere's law. We see that `U vec r_2) != U(vec r_1)` even when `vec r_2` `= vec r_1`. Can we have a magnetic scalar potential in this case.?

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