What is Relation between mu(nought) and epsilon(nought)?

The relation between mu(nought) and epsilon(nought)

Mu(nought) is known as the permeability of free space and it is used as the relation between changes and the magnetic field produced by the charges. While epsilon(nought) is known as the permittivity of free space and it is used for depicting the relation between static charges and electric field of charges. There is no basic relation between mu(nought) and epsilon(nought) both of them are used for different instances.

According to coulomb's law

E = (1/4πƐo) × (q/r2)

Here, E = Electric field, Ɛo = Permittivity of free space, Q = charge

According to Biot-Savart law

B = (μo/4π) × Idl (sinθ)/r2

Here, B = Magnetic field ,μo = Permeability of free space ,I = current