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.

What is hooke's law

Hooke's law

A law stating that the stress applied to a material is proportional to the strain on that material. For example, if a stress on a metal bar of ten newtons per square centimeter causes it to be compressed by four millimeters, then a stress of 20 newtons per square centimeter will cause the bar to be compressed by eight millimeters. Hooke's law generally holds only up to the elastic limit of stress for that material.

the principle that the stress imposed on a solid is directly proportional to the strain produced, within the elastic limit

modulus of elasticity

The ratio of the stress applied to a body to the strain that results in the body in response to it. The modulus of elasticity of a material is a measure of its stiffness and for most materials remains constant over a range of stress. The ratio of the longitudinal strain to the longitudinal stress is called Young's modulus. The ratio of the stress on the body to the body's fractional decrease in volume is the bulk modulus. The ratio of the tangential force per unit area to the angular deformation in radians is the shear modulus.

The gravitational constant

Let us learn what is meant by gravitational constant,
The value of the gravitational constant G entering the Universal law of gravitation can be determined experimentally and this was first done by English scientist Henry Cavendish in
1798. The apparatus used by him is schematically shown in figure.Schematic drawing of Cavendish’s experiment. S1 and S2 are large spheres which are kept on either side (shown shades) of the masses at A and B. When the big spheres are taken to the other side of the masses (shown by dotted circles), the bar AB rotates a little since the torque
reverses direction. The angle of rotation can be measured experimentally.

The bar AB has two small lead spheres attached at its ends. The bar is suspended from a rigid support by a fine wire. Two large lead spheres are brought close to the small ones but on opposite sides as shown. The big spheres attract the nearby small ones by equal and opposite force as shown.
Now let us learn newton's law of gravity.