A very thin ring of radius a is located in the xy-plane. The ring carries a nonuniform line charge density, pi(6): = Po sin(ø/2), where ø is a polar angle of the coordinate system with its origin at the center of the ring. 1. Find the electrostatic potential on the axis of the ring.

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Chapter16: Electrical Energy And Capacitance
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Problem 11P: An electron is at the origin, (a) Calculate the electric potential VA at point A, x = 0.250 cm. (b)...
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Problem 4
A very thin ring of radius a is located in the xy-plane. The ring carries a nonuniform line charge
density,
pi($) = po sin(4/2),
where ø is a polar angle of the coordinate system with its origin at the center of the ring.
1. Find the electrostatic potential on the axis of the ring.
2. Determine the electric field anywhere on the axis of the ring.
3. A point dipole with the dipole moment directed upward, p
pez, is located at the position
h on the axis of the ring. How much work is required to flip the dipole direction from upward
Z =
to downward, p =-pe;?
Transcribed Image Text:Problem 4 A very thin ring of radius a is located in the xy-plane. The ring carries a nonuniform line charge density, pi($) = po sin(4/2), where ø is a polar angle of the coordinate system with its origin at the center of the ring. 1. Find the electrostatic potential on the axis of the ring. 2. Determine the electric field anywhere on the axis of the ring. 3. A point dipole with the dipole moment directed upward, p pez, is located at the position h on the axis of the ring. How much work is required to flip the dipole direction from upward Z = to downward, p =-pe;?
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