state and explain ampaere's circuital law
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Ampere's Circuital Law states the relationship between the current and the magnetic field created by it. This law states that the integral of magnetic field density (B) along an imaginary closed path is equal to the product of current enclosed by the path and permeability of the medium.
Ampere's law states that the line integral of magnetic field around a closed path is equal to the product of the magnetic permeability of that space and the total current through the area bounded by that path.
Ampere's circuital law ,in electromagnetism is analogous to Gauss' law in electrostatics. It states that the line integral of the magnetic field ( magnetic flux density ) B vector around any 'closed' path is equal to μo times the net current I threading through the area enclosed by the path . That is ,
ɸ B vector • d l vector = μo I ,
where , μo is the permeability of free space ( a constant ) . Ampere's circuital law is true for any assembly of currents and for any closed path .