what is relation between gauss & ampere circuital law,& also between coulombs law & bio savart law?
the field at all points on the circle and the direction is given by the tangent drawn to the circle at that point.
i.e., the flux is equal to the times the current threading through the area bounded by the circle. Hence, Ampere circuital law can be stated as follows
"The line integral of the magnetic field B around any closed path is equal to m0 times the net current across the area bounded by the path."
The magnetic field B as computed from the BiotSavart law will always satisfy Ampère's circuital law