A ring of charge is centered at the origin in the vertical direction. The ring has a charge density of λ = 3.99×10−6 C/m and a radius of R = 3.55 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/(4πϵ0) = 8.99×109 N⋅m2 /C2. E = N/C Find the expression for the electric field, E∞, 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/(4πϵ0). E∞ =