Formula: Electric (Electrostatic) Potential of a Point Charge Distance    Electric charge    Relative permittivity   

Formula: Electric (Electrostatic) Potential of a Point Charge
Potential Energy of a Charge in a Radial Electric Field
Äquipotentiallinien - elektrisches Monopol

Electric Potential

Electric potential at a distance from a charge \( \class{red}{Q} \) which generates this potential. The potential indicates the potential energy that a test charge gains or must release when placed from an infinite distance to a distance \( r \) from the source charge.


Distance of a test charge from the source charge \( \class{red}{Q} \).

Source charge

Electric charge generating potential \( V_{\text e} \).

Relative permittivity

Relative permittivity describes the medium in which the two charges are located. If the two charges are in vacuum then \( \varepsilon_{\text r} = 1 \). And, for example, if they are in lukewarm water then \( \varepsilon_{\text r} = 80 \). The greater the relative permittivity of the medium, the more this medium weakens the potential.

Vacuum Permittivity

The vacuum permittivity is a physical constant that appears in equations involving electromagnetic fields. It has the following experimentally determined value: $$ \varepsilon_0 ~\approx~ 8.854 \, 187 \, 8128 ~\cdot~ 10^{-12} \, \frac{\mathrm{As}}{\mathrm{Vm}} $$

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