Magnetic scalar potential is diffined as  `U(vec r_2) - U vec (r_1) = - int_vec(r_1) ^vec(r_2) vecB.
Channel: Doubtnut
Date: 2020-07-05

Magnetic scalar potential is diffined 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)` even when `vec r_2` `= vec r_1`. Can we have a magnetic acalar potential in this case.?