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2.1 Maxwell’s equations

Electromagnetic fields are generated by charge and current densities according to Maxwell’s equations

(1)

where E(X, t) and B(X, t) are the electric and magnetic fields, ρ(X, t) and J(X, t) are the charge and current densities. Here, X is the vector position, and t is the time. The continuity equation - or charge conservation - relating the charge density ρ(X, t) to the current density J(X, t) is obtained from (??)

(2)

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