Editing Maxwell's Equations
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: $$\nabla \times \mathbf{B} = \mu_0 \mathbf{J} + \mu_0 \epsilon_0 \frac{\partial \mathbf{E}}{\partial t}$$ | |||
: $$\nabla \times \mathbf{E} = - \frac{\partial \mathbf{B}}{\partial t}$$ | |||
: $$\nabla \cdot \mathbf{B} = 0$$ | |||
: $$\nabla \cdot \mathbf{E} = \frac{\rho}{\epsilon_0}$$ | |||
In | In the example of an ideal vacuum with no charge or current, (i.e., $$\rho=0$$ and $$\mathbf{J}=0$$), these equations reduce to: | ||
: | : $$\nabla \times \mathbf{B} = + \mu_0 \epsilon_0Β \frac{\partial \mathbf{E}}{\partial t}$$ | ||
: $$\nabla \times \mathbf{E} = - \frac{\partial \mathbf{B}}{\partial t}$$ | |||
: $$\nabla \cdot \mathbf{B} = 0$$ | |||
: $$\nabla \cdot \mathbf{E} = 0$$ | |||
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== 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: == |