Consider a ring of radius R and total charge Q. Define a coordinate system so that the ring lies on the xy plane and is centered on the origin. Argue that the ring's potential field at an arbitrary point P on the z axis (which corresponds to the ring's central axis) is given by [equation attatched as image]. Explain your reasoning. (No calculus necessary)

Horizons: Exploring the Universe (MindTap Course List)
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Author:Michael A. Seeds, Dana Backman
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Chapter5: Light And Telescopes
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Having trouble deciding where to start on this problem. I tried coming up with a proof geometrically, but I can't get my thoughts in order. Thanks in advance for the help! :)

Consider a ring of radius R and total charge Q. Define a coordinate system so that the ring lies on the xy plane and is centered on the origin. Argue that the ring's potential field at an arbitrary point P on the z axis (which corresponds to the ring's central axis) is given by [equation attatched as image]. Explain your reasoning. (No calculus necessary)

1.
$(2) =
%3D
2TE, VR + z
2πεο
Transcribed Image Text:1. $(2) = %3D 2TE, VR + z 2πεο
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