Explanation:

According to Ampere’s LAW, magnetic fields are related to the electric current produced in them. The law specifies the magnetic field that is associated with a given current or vice-versa, provided that the electric field doesn’t change with TIME.

Ampere’s Law can be stated as:

“The magnetic field created by an electric current is proportional to the size of that electric current with a constant of proportionality equal to the permeability of free space.”

The equation explaining Ampere’s law which is the final Maxwell’s equation is given below:

Maxwell's equation

Maxwell’s Equation

Who was André-Marie Ampère?

André-Marie Ampère was a scientist who performed experiments with forces that act on current-carrying wires. The experiment was done in the late 1820S AROUND the same time when Faraday was working on his Faraday’s Law. Faraday and Ampere had no idea that their work would be combined by Maxwell Himself four years later.

What is Ampere’s Law?

According to Ampere’s law, magnetic fields are related to the electric current produced in them. The law specifies the magnetic field that is associated with a given current or vice-versa, provided that the electric field doesn’t change with time.

What is Ampere’s Circuital Law?

Ampere’s circuital law can be written as the line integral of the magnetic field surrounding closed-loop equals to the number of times the algebraic sum of currents passing through the loop.

Ampere's Circuital Law

Suppose a conductor carries a current I, then this current flow GENERATES a magnetic field that surrounds the wire.

The equation’s left side describes that if an imaginary path encircles the wire and the magnetic field is added at every point, then it is numerically equal to the current encircled by this route, indicated by Ienc.