Introduction to Ampere’s Circuital law

A detail analysis of Ampere’s Circuital law is discussed here, focus is only on physical concept not on derivation. If you find any difficulty at any point please share the comment.

A useful law that relates the net magnetic field along a closed loop to the electric current passing  through the loop. The integral around a closed path of the component of the magnetic field tangent to the direction of the path equals µ0 times the current intercepted by the area within the path. Thus the line integral (circulation) of the magnetic field around some arbitrary closed curve is proportional to the total current enclosed by that curve.

Ampere’s Circuital Law

In order to apply Ampère’s circuital Law all currents have to be steady (i.e. do not change with time) • Only currents crossing the area inside the path are taken into account and have some contribution to the magnetic field.