Question

A non-conducting ring of radius R with a uniform charge density λ and a total charge Q is lying in the yz - plane, as shown in the figure below. Consider a point P, located at a distance x from the center of the ring along its axis of symmetry.

1) What is the magnitude (in N/C) of the electric field at P? Express your answer in terms of the following variables, if necessary, Q, R, x and the constant ϵ0 (enter pi for π, epsilon_0 for ϵ0). Do not use λ in your answer.

Answer 1

(x*Q)/(4*pi*epsilon_0*((R)^2+(x)^2)^(3/2))