Difference between revisions of "Maxwell's Equations"

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: $$\nabla \cdot \mathbf{E} = \frac{\rho}{\epsilon_0}$$
: $$\nabla \cdot \mathbf{E} = \frac{\rho}{\epsilon_0}$$


This formulation assumes no charge $$\rho=0$$ and $$J=0$$. One common example of these conditions is a vacuum.
In the example of an ideal vacuum with no charge or current, (i.e., $$\rho=0$$ and $$J=0$$), these equations reduce to:


: $$\nabla \times \mathbf{B} = +\frac{1}{c^2} \frac{\partial \mathbf{E}}{\partial t}$$
: $$\nabla \times \mathbf{B} = +\frac{1}{c^2} \frac{\partial \mathbf{E}}{\partial t}$$
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