A ring of charge is centered at the origin in the vertical direction. The ring has a charge density of 1 = 7.42 x 10* C/m and a radius of R = 1.87 cm. Find the total electric field, E, of the ring at the point P = (1.56 m, 0.00 m). The Coulomb force constant is k = 144xeg) = 8.99 × 10 N-m²/C². dE E = N/C

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Chapter24: Gauss’s Law
Section: Chapter Questions
Problem 24.46P: A thin, square, conducting plate 50.0 cm on a side lies in the xy plane. A total charge of 4.00 108...
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A ring of charge is centered at the origin in the vertical
direction. The ring has a charge density of
1 = 7.42 x 10* C/m and a radius of R = 1.87 cm.
da
Find the total electric field, E, of the ring at the point
P= (1.56 m, 0.00 m). The Coulomb force constant is
k = 1/(4xeg) = 8.99 × 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/(4x€n).
E, =
Transcribed Image Text:A ring of charge is centered at the origin in the vertical direction. The ring has a charge density of 1 = 7.42 x 10* C/m and a radius of R = 1.87 cm. da Find the total electric field, E, of the ring at the point P= (1.56 m, 0.00 m). The Coulomb force constant is k = 1/(4xeg) = 8.99 × 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/(4x€n). E, =
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