Question

What is the dimensional formula of epsilon not?

Answer 1

Definition

The Greek letter ${\mathrm{\epsilon }}_0$ represents the permittivity of open space, absolute permittivity, as well as electric constant, which would be symbolized by Epsilon Naught. The capacity of such a classical vacuum to allow or accept the electric field would be referred to as free space permittivity.

The S.I unit of epsilon not is $\mathrm{Farad}\mathrm{per}\mathrm{meter}(\mathrm{F}.{\mathrm{m}}^{-1})$.

Dimension formula

Mathematically, the dimension formula of epsilon not is represented as:

$\left[{\mathrm{M}}^{-1}{\mathrm{L}}^{-3}{\mathrm{T}}^4{\mathrm{I}}^2\right]$

Here, M is the mass, L is the length, T is the time, and I is the current.

Therefore, the dimensional formula of epsilon not is $\left[{\mathrm{M}}^{-1}{\mathrm{L}}^{-3}{\mathrm{T}}^4{\mathrm{I}}^2\right]$.