Learn about Ampere ’s law , a mathematical statement that relates electric current and magnetic field. Find out how to derive, use, and apply it to different devices and situations. Ampere’s Circuital Law : Definition, Examples & Formula Ampere’s Circuital Law : Ampere’s Circuital law defines the relationship between the current and the magnetic field that is created by it. This law is quite similar to Gauss’s law of Electrostatics which is used to calculate the electric field created by distributed charges. The magnetic field (marked B, indicated by red field lines) around wire carrying an electric current (marked I) In classical electromagnetism, Ampère's circuital law , often simply called Ampère's law , and sometimes Oersted's law , [1] relates the circulation of a magnetic field around a closed loop to the electric current passing through that loop. The law was inspired by Hans Christian Ørsted 's 1820 discovery that an electric current generates a magnetic field. This finding prompted ... Ampere ’s law states that the path integral or line integral over a closed loop of the magnetic field produced by a current distribution is given by ∮ → B → dl = µ 0 l where I refers to the current enclosed by the loop. Ampere ’s law is a useful relation that is analogous to Gauss’s law of electrostatics. It is a relation between the tangential component of magnetic field at points on a closed curve and the net current through the area bounded by the curve. To evaluate the ...

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