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A total charge of Q is uniformly distributed around the perimeter of a circle with radius a in the x-y plane centered at origin as shown in Figure P4


 1. A total charge of Q is uniformly distributed around the perimeter of a circle with radius a in the x-y plane centered at origin as shown in Figure P4. (a) Find the electric field at all points on the z axis, i.e., (0,0,z). (b) Use the result you obtain in (a) to find the electric field of an infinite plane of charge with surface charge density ps located at the x-y plane.


 2. Find the electric field due to a uniform surface charge density ps located in the x-y plane in the region of ρ < a (on the surface of a circular disk with radius a, see Figure P5) at all point on the z-axis, i.e.. (0,0,z)


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