In Coulumb's law, the constant of proportionality, K=14πϵ0 has units
The Coulomb force is given as
F=Kq1q2R2
The unit of charge is coulomb(C)
Unit of distance is meter (m)
Unit of Force is Newton (N)
Then on substituting all the
K=N−m2C2
What are the dimensions of K (coulomb’s law constant)?
The electric field due to a charge at a distance of 3 m from it is 500 N/coulomb. The magnitude of the charge is [14πϵ0=9×109 N−m2coulomb2]