A non-conducting ring of radius with a uniform charge density and a total charge is lying in the - plane, as shown in the figure below. Consider a point P, located at a distance from the center of the ring along its axis of symmetry.
(a) What is the direction of the electric field at ?
(b) What is the magnitude (in N/C) of the electric field at ? Express your answer in terms of the following variables, if necessary, , , and the constant (enter pi for , epsilon_0 for ). Do not use in your answer.
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