QUESTION $2$

a$)$ With illustrations, state and explain Biot Savart's law. $(6$ marks$)$

b$)$ Compare Gauss's law to Ampere's law in terms of Maxwell's equations and give the integral form of each law. $(6$ marks$)$

c$)$ Given an infinite length line current I lying along the Z$-$axis, use Ampere's law to determine the magnetic field by integrating the magnetic field around a circular path of radius lying in the $x-y$ plane.

$(8$ marks$)$