Statcoulomb

The Franklin ( unit symbol: Fri, named after the American scientist and inventor Benjamin Franklin; synonymous terms: Statcoulomb STATC, electrostatic unit of charge ESU) is in an electrostatic CGS system (CGS - ESU unit system ), the unit of electric charge Q.

In the EU, the Franklin is not a legal unit of measurement dar.

Conversion into the corresponding SI unit

The conversion to the corresponding SI unit coulombs carried by

Herein, the speed of light.

Units from different systems of units may not officially be used together. Thus, the Franklin or out of it derived unit of dimension [ length ] 1.5 · [ mass ] -1 may be never used in equations together with the Coulomb 0.5 · [time].

Conversion to CGS - ESU units

The Franklin corresponds to CGS - ESU units:

1 dyn = 1 g · cm / s ².

The Franklin and ESU was used in CGS systems as a unit for other physical quantities.

Derivation

The definition of Franklin is based on Coulomb's law: Two equal charges repel each other at a distance with the force

From, the Coulomb 's constant.

The unit Franklin is defined to apply: For two bodies at a distance of 1 cm, both of which carry the charge 1 Franklin, is the repulsive force of 1 dyne. Thus, the Coulomb constant has the numerical value of 1 in the electrostatic CGS system this constant is also dimensionless. Thus applies

So

• CGS unit
• Electromagnetic unit
• Benjamin Franklin