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Definition of Electrostatic Field

In electrostatics, we ask \(\vec{E}\) to be independent of time, but it can change with position.

\(\nabla\cdot\vec{E}=\frac{\rho}{\varepsilon_{0}}\)
We also ask \(\vec{B}\) to be independent of time.

\(\nabla\times\vec{E}=-\frac{\partial\vec{B}}{\partial t}=0\)
- This equation is used to decide whether an electric field can be an electrostatic field

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