A brief summary of the basic equations for electrostatics in empty space

Dielectric constant:

Electron charge:

Coulomb’s law of attraction:

Electrostatic field:

Flux of the electrostatic field:

Gauss’ theorem:

Divergence theorem:

Maxwell’s first equation:

The electrostatic field is conservative:

Electrostatic potential: and

Differential relationship between electric field and potential

Gradient of a scalar function:

Electric potential due to a point charge:

Electric potential due to a charge distribution (superposition principle):

Curl of the electrostatic field in free space:

Energy density of the electrostatic field:

Energy of the electrostatic field:

Electric dipole moment:

Potential due to an electric dipole:

Torque of an electric dipole:

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