what is ampere circuital ;law?

Ampère's law relates magnetic fields to electric currents that produce them. Ampère's law determines the magnetic field associated with a given current, or the current associated with a given magnetic field, provided that the electric field does not change over time. In its original form, Ampère's circuital law relates a magnetic field to its electric current source. The law can be written in two forms, the "integral form" and the "differential form". The forms are equivalent, and related by theKelvin–Stokes theorem. It can also be written in terms of either theBorHmagnetic fields. Again, the two forms are equivalent
In terms oftotalcurrent, which includes bothfreeandboundcurrent, the line integral of themagnetic B-field(intesla, T) around closed curveCis proportional to the total currentIencpassing through a surfaceS(enclosed byC):

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Apoorva Arora

IIT Roorkee

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