Ampere's law

Ampere's law :

Ampere's law allows the calculation of magnetic fields. Consider the circular path around the current shown in Figure. The path is divided into small elements of length (Δ l). Note the component of B that is parallel to Δ l and take the product of the two to be B∥Δ l. Ampere's law states that the sum of these products over the closed path equals the product of the current and μ

Or in integral form,
Somewhat analogous to the way Gauss's law can be used to find the electric field for highly symmetric charge configurations, Ampere's law can be used to find the magnetic fields for current configurations of high symmetry. For example, Ampere's law can be used to derive the expression for the magnetic field generated by a long, straight wire:

I hope the above explanation was useful, now let me explain what is Hooke's law.