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∞ =

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∞ =

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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 / ( 4 π ϵ 0 ) = 8.99 × 10 9 N m 2 / C 2 .
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 / ( 4 π ϵ 0 ) .
E =

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