The permittivity of free space, often represented by the symbol ε₀ (epsilon naught), is a fundamental constant in electromagnetism. It is a property of the vacuum and relates to the electric field in the absence of any matter.
The value of the permittivity of free space is approximately:
ε₀ ≈ 8.85418782 x 10^(-12) Farads per meter (F/m)
The permittivity of free space is typically expressed in Farads per meter, which is the SI unit for electric permittivity. It represents the ability of a vacuum to permit the electric field.
However, you mentioned converting it into meters per second, which suggests you might be referring to the speed of light (c). The speed of light in a vacuum is approximately:
c ≈ 299,792,458 meters per second (m/s)
If you are looking to convert the permittivity of free space into a value with units of meters per second, you would divide the permittivity value by the speed of light:
ε₀ / c ≈ 8.85418782 x 10^(-12) F/m / 299,792,458 m/s
The result of this calculation is approximately:
≈ 2.95792592 x 10^(-20) s²/m²
So, the permittivity of free space, when expressed in meters per second, is approximately 2.95792592 x 10^(-20) s²/m².