1 Answer
The unit of dielectric susceptibility (denoted as \( \chi_e \)) is dimensionless. This is because dielectric susceptibility is a ratio of the electric polarization to the electric field, and both quantities have the same units of electric field strength.
In other words:
\[
\chi_e = \frac{P}{\epsilon_0 E}
\]
where:
Since the units of \( P \) and \( E \) combine in a way that cancels out the units, dielectric susceptibility ends up being a pure number without any units.
In other words:
\[
\chi_e = \frac{P}{\epsilon_0 E}
\]
where:
- \( P \) is the electric polarization (C/m²),
- \( \epsilon_0 \) is the permittivity of free space (F/m or C²/(N·m²)),
- \( E \) is the electric field strength (V/m).
Since the units of \( P \) and \( E \) combine in a way that cancels out the units, dielectric susceptibility ends up being a pure number without any units.