Maxwell's Equations: Difference between revisions
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: $$\nabla \cdot \mathbf{E} = \frac{\rho}{\epsilon_0}$$ | : $$\nabla \cdot \mathbf{E} = \frac{\rho}{\epsilon_0}$$ | ||
where $$\epsilon_0$$ is the permittivity of free space and $$\mu_0$$ is the permeability of free space. | where $$\epsilon_0$$ is the permittivity of free space and $$\mu_0$$ is the permeability of free space. | ||
In the example of an ideal vacuum with no charge or current, (i.e., $$\rho=0$$ and $$\mathbf{J}=0$$), these equations reduce to: | In the example of an ideal vacuum with no charge or current, (i.e., $$\rho=0$$ and $$\mathbf{J}=0$$), these equations reduce to: | ||
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: $$\nabla \cdot \mathbf{B} = 0$$ | : $$\nabla \cdot \mathbf{B} = 0$$ | ||
: $$\nabla \cdot \mathbf{E} = 0$$ | : $$\nabla \cdot \mathbf{E} = 0$$ | ||
Note that the speed of light is: | |||
: $$c = \frac{1}{\sqrt{\epsilon_0 \mu_0}}$$ | |||
== Resources: == | == Resources: == | ||
*[https://en.wikipedia.org/wiki/Maxwell%27s_equations Maxwell's Equations] | *[https://en.wikipedia.org/wiki/Maxwell%27s_equations Maxwell's Equations] | ||
== Discussion: == | == Discussion: == | ||