Question 3: Suppose you have a ring, with radius R, made of conducting material in the x y-plane. Assume the ring carries a current I as indicated in the figure

below. a) Using symmetry arguments, explain the direction of the net magnetic field B at the point P in the figure above. b) Assume that the point P has coordinates P = (0,0, z). For a line that connects the field point P to a segment of wire, find the angle a it makes with the z-axis. Your answer should be in terms of R and z. c) Find the magnetic field dB that is created by a small segment of wire. Which component of dB will cancel when we integrate over the whole ring, the Cos(a) component or the Sin(a) component? d) Calculate the total magnetic field at point P.