While applying the Ampere’s circuital law to find magnetic field at a
point outside a capacitor connected to a time-varying current, Maxwell
noticed an inconsistency in the Ampere’s circuital law He suggested the
existence of an additional current, called by him, the displacement
current to remove this inconsistency Maxwell formulated a set of equations involving electric and magnetic
fields, and their sources, the charge and current densities These
equations are known as Maxwell’s equations