Using mass (M), length(L), time (T) and current (A) as fundamental quantities, the dimensional formula of permittivity is

From Coulomb’s law, F = 14πεoq1q2r2⇒ εo = 14πq1q2Fr2      ∴    Dimensions of permittivity εo = Dimensions of q2Dimensions of F × dimensions of r2εo = A2T2MLT−2L2 = M−1L−3T4A2