Electric Constant

Explanation

The electric constant, otherwise known as vacuum permittivity, is the capability of the vacuum to permit electric field lines. It may be used instead of Coulomb’s constant to determine charged particle interaction and force.

Coulomb's Constant Explained

See also: Coulomb’s constant, magnetic constant

 


 

Derivation – Electric Constant

The electric constant is the inverse of 4πke (Coulomb constant).  Therefore, the explanation is the same as Coulomb’s constant, although the value and units have changed as a result of being the inverse. It can be derived classically from the Planck mass, Planck length, Planck time, and Planck charge.

 

Classical Constant Form

Electric constant derived in terms of Planck constants

Wave Constant Form

Electric Constant Derived Wave Constants

Using classical constants Using energy wave constants

 

Calculated Value: 8.8542E-12
Difference from CODATA: 0.000%
Calculated Units: s2 / kg m
G-Factor: gλ-1  gA-2

 

Note: See Coulomb’s constant for an explanation of the units. When C (Coulombs) is adjusted to be m (meters), the units align as expected. The electric constant units are the inverse of Coulomb’s constant, thus the explanation is the same.

 

Its value was calculated and shown to match the known value in the Summary of Calculations table. The derivation of this constant is available in the Fundamental Physical Constants paper.