For a cylindrical inductor with \\(N\\) turns, flux linkage \\(\\lambda\\) is given as \\(\\lambda = N \\Phi = N B A\\). Where, \\(B\\) is the magnetic field through the core and \\(A\\) is the cross sectional area of the cylinder. The inductance \\(L\\) can be expressed as, \\(L = \\frac{\\lambda }{I}\\)