Question

simplified explanation of ampere law.

Answer 1

http://en.wikipedia.org/wiki/Amp%C3%A8re's_force_law

Answer 2

Ampere’s force law is different from "Ampere law".
Oersted observed that magnetism was created from electricity passing through a wire.
Ampere repeat Oersted’s experiment and setup another experiment showing that two parallel electric currents had a force acting on each other. Ampere did express this force mathematically and founded the the electrodynamic science.
Maxwell took the ideas of Faraday and Ampere electrodynamic and created a set of equations.
One of the equation is called "Ampere law" and state that a varying electric field create a magnetic field.

Answer 3

Quote: "One of the equation is called "Ampere law" and state that a varying electric field create a magnetic field."

Ampère's law states that a current creates a magnetic field.

Maxwell-Ampère's law, which is a generalization, states that sources of magnetic fields are currents OR varying electric fields.