What Is the physical meaning of the dielectric constant ?
(I don't want the mathematical expression)
Thanks In advance.
The dielectric susceptibility (multiplied by $\epsilon_0$ to put everything in SI units) is the induced electric dipole moment per unit volume per unit electric field applied.
In general this is a tensor and may have real and complex, frequency-dependent components. But for simple linear, isotropic materials and static fields it is a number.
By convention, the dielectric cconstant is then the susceptibility $+1$.
In most simple words it is the ratio of permitivity of any medium to permitivity of free space.