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Relative Permittivity

Key Stage 5

Meaning

Relative Permittivity is the ratio of the Permittivity of a medium compared to the Permittivity of Free Space.

About Relative Permittivity

Relative permittivity of a medium is denoted with the Greek letter epsilon followed by a subscript of r (\(\varepsilon_r\)).
Relative permittivity has no units.

Equation

When an electrostatic field propagates through a medium which is not the vacuum the permittivity of that medium is given by the product of its relative permittivity and the permittivity of free space.

\(\varepsilon=\varepsilon_r\varepsilon_0\)

Therefore

\(\varepsilon_r=\dfrac{\varepsilon}{\varepsilon_0}\)

Example Media

Medium Relative Permittivity
Air 1.00054
Glass 4.7
Water (at 0°C) 88
Steam (at 100°C) 55