Note that the loop has to enclose a surface area, even though the geometry does not matter. Like Gauss' Law, while this is true for all geometries, greatest success is achieved when the loop selected allows for sufficient symmetry.

3. Magnetic Vector Potential

Unlike Electric fields, magnetic fields are non-conservative. In order to utilise similar problem solvinĀ£g concepts, we introduce a magnetic vector potential \(\vec{A}\) , where: