Question

dimensional formula of [k] in coulombs law in charges

Answer 1

in the CGS electrostatic units they define the Coulomb Force Constant to be the dimensionless 1 (ϵ0=14π ϵ 0 = 1 4 π in cgs). that results in the dimension of electric charge being length / time x sqrt(length x mass) or velocity x (length x mass)^(1/2).

Answer 2

Answer:

Dimensional formula of k.

Explanation:

k is known as permittivity of free space.

According to Coulomb's law,

$F$=($q_{1}q_{2}$/$4 \pi r^{2}$∈)

k= charge²×$Force^{-1}$×$distance^{-2}$

k=$[I^{1}T^{1}]^{2}$×$[MLT^{-2}] ^{-1}$×$[M^{o} L^{1} T^{-2}] } ^{2}$

k=$[M^{-1} L^{-3} T^{4}I^{2} ]$