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## Homework Statement

Use Maxwell's equations to elaborate an coherent explication of why electromagnetic waves propagate independently of the source that produces them.

## Homework Equations

Maxwell's equations in vacuum:

- ##\nabla * E=0##
- ##\nabla * B=0##
- ##\nabla \times E = -\frac{\partial B}{\partial t}##
- ##\nabla \times B=\mu _0 \epsilon _0 \frac{\partial E}{\partial B}##

## The Attempt at a Solution

Honestly I don't know how to begin or proof it.