A thin rod of length L carries charge Q distributed uniformly over its length. (a) Show that

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A thin rod of length L carries charge Q distributed uniformly over its length.
(a) Show that the potential in the plane that perpendicularly bisects the rod is given by
2kQ L2 1 + 4r2 L V(r) -In L 2r

where r is the perpendicular distance from the rod center and where the zero of potential is taken at infinity.
(b) Show that this expression reduces to an expected result when r >> L.

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Related Book For  answer-question

Essential University Physics

ISBN: 978-0321976420

3rd Edition Volume 2

Authors: Richard Wolfsonby

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