### Diagnostics: Electromagnetostatics
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Fundamentals: After properly studying this module, you should be able to:

- write down Coulomb's law
- state the principle of superposition
- write down the electrostatic field at \({\bf r}\) generated by a set of point charges \(q_i\) at \({\bf r}_i\)
- write down the electrostatic field at \({\bf r}\) generated by a continuous charge distribution \(\rho ({\bf r}')\)
- write down the electrostatic potential at \({\bf r}\) generated by a set of point charges \(q_i\) at \({\bf r}_i\)
- write down the relationship between the electrostatic field and the electrostatic potential, in both differential and integral forms
- write down the curl of an electrostatic field
- write down the electrostatic potential at \({\bf r}\) generated by a continuous charge distribution \(\rho ({\bf r}')\)
- write down Gauss' law in integral form
- write down Gauss' law in differential form
- write down Poisson's equation
- write down Laplace's equation
- write down the formula for the energy of an electrostatic field
- state the basic properties of a conductor

Applications: As a strict minimum, you should be able to:

- using Gauss' law, calculate the electrostatic field at any point \({\bf r}\) originating from
  - a charged ball with uniform charge density \(\rho\)
  - an infinite line charge with linear charge density \(\lambda\)
  - an infinite charged plane with surface charge density \(\sigma\)

Except where otherwise noted, all content is licensed under a Creative Commons Attribution 4.0 International License.

Author: Jean-Sébastien Caux

Created: 2022-03-24 Thu 08:42