A ring of charge is centered at the origin in the vertical direction. The ring has a charge density of ̡ = 6.93 x 10^-6 C/m and a radius of R = 2.85 cm. Find the total electric field, E, of the ring at the point P = (2.02 m, 0.00 m). The Coulomb force constant is k = 1/(4̡̡â) = 8.99 x 10^9 N¡m²/C².
Find the expression for the electric field, Eâ, of the ring as the point P becomes very far from the ring (x >> R) in terms of the radius R, the distance x, the total charge on the ring q, and the constant k = 1/(4̡̡â).