Value of Epsilon Naught
The permittivity of free space(ε0) is the capability of the classical vacuum to permit the electric field, it is the definite defined value that approximates to
ε0 = 8.854187817 × 10-12 F.m-1 (In SI Unit)
OR
ε0 = 8.854187817 × 10-12 C2/N.m2(In CGS units)
Epsilon Naught Symbol
Epsilon Naught is symbolized by ε0.
Units of Epsilon Naught
SI Unit: Farad per meter or F.m-1.
CGS Unit: Coulomb square per Newton meter squared or C2/N.m2
Dimensional Formula of Epsilon Naught Value
Dimensional Formula of Epsilon Naught is M-1L-3T4A2.
Derivation of the Formula of Epsilon Naught
According to Coulomb’s Law:
F = (1/4πε₀) q1q2/r2
ε₀ = (1/4πF) q1q2/r2
Dimension formula of F = M1L1T-2
Charge = q = I × T = A × T1, where A= electric current
So, ε₀ = (1/M1L1T-2)(AT1×AT1)/L2
Hence, ε₀ = M-1L-3T4A2
Therefore, the dimensional formula of Epsilon Naught turns out to be M-1L-3T4A2
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Epsilon Naught Value
Epsilon Naught Value is 8.85418782 × 10-12 m-3 kg-1s4 A2. Epsilon Naught is represented as ε0 where Epsilon is a Greek letter with 0 as its suffix. Epsilon Naught is used to represent the Permittivity of free space and permittivity is basically the measure of the polarisibility of a material in the presence of an electric field.
Permittivity simply means, that the greater the value of permittivity the more a material will polarise in the presence of the electric field. The permittivity of free space is also called the permittivity of the vacuum. In this article, we will learn what is epsilon naught, what is the value of epsilon naught, the dimensional formula of epsilon naught, and its derivation.
Table of Content
- What is Epsilon Naught?
- Value of Epsilon Naught
- What is Permittivity?
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