Epsilon Naught value is synonymous to the free space permittivity or electric constant or absolute permittivity. Furthermore, the Epsilon Naught symbol is ε0. Also, the Epsilon Naught value is a constant that can be present at any part of the universe.
Introduction to Epsilon Naught Value
Epsilon Naught value represents the dielectric permittivity of the free space. Furthermore, experts use the value of Epsilon Naught in order to calculate the dielectric constant of a material. Moreover, Epsilon Naught happens to be an ideal physical constant.
Epsilon Naught is an ideal physical constant that is the representative of the absolute dielectric permittivity of a vacuum. In other words, Epsilon Naught quantifies a vacuum’s ability to facilitate the flowing of electric field lines through it.
Understanding of Epsilon Naught Value
The representation of vacuum permittivity is by ε0, whose pronunciation is as Epsilon Nought or Epsilon Zero. It is the value of a classical vacuum’s absolute dielectric permittivity. Alternatively, experts refer to it as the electric constant, the permittivity of free space units, or the distributed capacitance of the vacuum.
The CODATA value of Epsilon Naught is ε0 = 8.8541878128(13)×10−12 F⋅m−1 (farads per meter), that has a relative uncertainty of 1.5×10−10.
It is an electric field’s capability to permeate a vacuum. This constant relates the electric charge units to mechanical quantities like length and force. For example, the representation of the force between two electric charges, whose separation takes place, in the vacuum of classical electromagnetism with spherical symmetry is by Coulomb’s law.
Historically, the parameter ε0 has been referred to by several names. The terms that are widespread are “vacuum permittivity” or its variants, such as “permittivity of free space”, “permittivity in/of vacuum”, and “permittivity of empty space”. Moreover, standards organizations worldwide now have made “electric constant” as a uniform term for this quantity.
The official standards documents have settled with the term “electric constant” but refer to the older terms as synonyms. As per the new SI system, the treatment of permittivity of vacuum will not take place as a constant anymore, but rather as a measured quantity whose relation is to the dimensionless fine structure constant.
Another historical synonym was “dielectric constant of vacuum”, whose use took place sometimes in the past for the absolute permittivity. However, now “dielectric constant” typically refers exclusively to a relative permittivity ε/ε0 and experts consider even this usage as “obsolete”. Rather, the experts now favour the term relative static permittivity.
Value of Epsilon Naught
The permittivity of free space (ε0) is the capability of the classical vacuum to allow the electric field. Furthermore, it is the definite defined value whose approximation can take place:
so, ε0 = 8.854187817 × 10-12 F.m-1 (In SI Unit)
also, ε0 = 8.854187817 × 10-12 C2/N.m2 (In CGS units)
Many miss-use Epsilon Naught as the value of Epsilon not. Furthermore, permittivity refers to the measure of the opposition that is put up against the formation of an electric field.
Formula of Epsilon Naught Value
Dimensional Formula of Epsilon Naught = 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 = IXT = AxT¹, where A represents = electric current
So, ε₀ = (1/M¹L¹T⁻²)(AT¹xAT¹)/L²
Moreover, ε₀ = M⁻¹L⁻³T⁴A²
Therefore, the dimensional formula of Epsilon Naught turns out to be = M⁻¹L⁻³T⁴A²
FAQs For Epsilon Naught Value
Question 1: Explain the Epsilon Naught Value?
Answer 1: In physics, Epsilon Naught refers to the permittivity of free space. Furthermore, this is a mathematical quantity that shows the extent of an electric field which is permitted in vacuum or free space. Similarly, epsilon of water means the extent of an electric field that is permissible in water or can cross the water.
Question 2: What is the approximate value of Epsilon Naught?
Answer 2: One can describe the permittivity of free space (ε0) as the capability of the classical vacuum to allow the electric field. The approximate value of Epsilon Naught is ε0 = 8.854187817 × 10-12 F.m-1 (In SI Unit) or ε0 = 8.854187817 × 10-12 C2/N.m2 (In CGS units).