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Electrostatics is concerned with the electrical fields and scalar potentials of stationary electrical charges and charge distributions. Use this for questions about electromagnetic situations in which currents and magnetic fields are absent, otherwise use the [electromagnetism] and/or [magnetic-fields] tags.
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Gauss' law and an external charge
Gauss' law states that the net outward normal electric flux through a closed surface is equal to $q_{total, inside}/\epsilon_0$. However, I'm a bit confused of why the presence of an external charge …
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Landau's derivation of polarization
In "Electrodynamics of Continuous Media" Landau writes the following:
The total charge in the volume of the dielectric is zero; even if it is placed in an electric field we have $\int\bar{\rho}dV=0$. …