6. Use Maxwell's equations (see Section 4.1.1) to show that if the charge density field e and the current densityfield J are zero, the electric vector field E satisfies the "wave equation"c?V²E = 0.This is the fundamental equation that describes the propagation of electromagnetic waves, such as light. An electromagnetic field is composed of an electric field E(t, x, y, z) and a magnetic fieldH(t, x, y, z), which are time-dependent vector fields on R°. With appropriate choice of units,Maxwell's equations readƏE= cV x H – 47Jat(4.7)ƏH-cV x E(4.8)V.E = 4TE(4.9)V.H= 0,(4.10)where e is the charge density and j is the current vector. The constant c has the dimensionsof velocity, and is in fact the speed of light in a vacuum. Mathematically these equationsform a system of linear partial differential equations in 6 unknowns, namely the componentsof E and H.

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6. Use Maxwell's equations (see Section 4.1.1) to show that if the charge density field e and the current density field J are zero, the electric vector field E satisfies the "wave equation" c?V²E = 0. This is the fundamental equation that describes the propagation of electromagnetic waves, such as light.

6. Use Maxwell's equations (see Section 4.1.1) to show that if the charge density field e and the current density field J are zero, the electric vector field E satisfies the "wave equation" c?V²E = 0. This is the fundamental equation that describes the propagation of electromagnetic waves, such as light.