A ring of charge is centered at the origin in the vertical direction. The ring has a charge density of 2=5.46 x 10- C/m and a radius of R = 2.43 cm. dq Find the total electric field, E, of the ring at the point P = (1.10 m, 0.00 m). The Coulomb force constant is P k = 1/(4xe0) = 8.99 x 10° N-m2/C². R dE 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/(4r€0).

Physics for Scientists and Engineers: Foundations and Connections
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Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter25: Gauss’s Law
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A ring of charge is centered at the origin in the vertical
direction. The ring has a charge density of
2 = 5.46 x 10-° C/m and a radius of R = 2.43 cm.
dq
%3D
Find the total electric field, E, of the ring at the point
P = (1.10 m, 0.00 m). The Coulomb force constant is
k = 1/(4xe0) = N-m²/C².
8.99 x 10°
%3D
%3D
R
dE
E =
N/C
Find the expression for the electric field, Eo, 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/(4ren).
%3D
E. =
Transcribed Image Text:A ring of charge is centered at the origin in the vertical direction. The ring has a charge density of 2 = 5.46 x 10-° C/m and a radius of R = 2.43 cm. dq %3D Find the total electric field, E, of the ring at the point P = (1.10 m, 0.00 m). The Coulomb force constant is k = 1/(4xe0) = N-m²/C². 8.99 x 10° %3D %3D R dE E = N/C Find the expression for the electric field, Eo, 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/(4ren). %3D E. =
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