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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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Boundary conditions in Electrostatics
Question 1:
Yes. If the PEC (perfect electric conductor) is grounded it has a fixed potential of zero volts on all points of the boundary. That's a standard Dirichlet boundary conditions in different …