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A set of four linear partial differential equations which summarize the classical properties of the electromagnetic field.

‘For example, in this limit, the quantum photon field behaves like the classical electromagnetic field as described by Maxwell's equations.’

‘He gave his famous four partial differential equations, now known as Maxwell's equations, which completely describe classical electromagnetic theory.’

‘In essence, the special theory is the result of a marriage of Newton's equations of motion with Maxwell's equations describing radiation.’

‘Then the effective conductivity of a cell suspension was calculated using a generalized Maxwell's equation, whereas numerically, the effective conductivity was calculated directly.’

‘A contradiction arose as a consequence of the development of a very successful theory of electricity and magnetism in the nineteenth century, which is embodied in a set of differential equations known as Maxwell's equation.’

Origin

Early 20th century: named after J. C. Maxwell (see Maxwell, James Clerk).