A very long cylinder of length L and radius R contains a constant charge of uniform density, p. Prove that the field strength on the outside and inside the cylinder is E= pR^2/2ɛOr when r>R E=p/2ɛ0*r when r

University Physics Volume 2
18th Edition
ISBN:9781938168161
Author:OpenStax
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Chapter6: Gauss's Law
Section: Chapter Questions
Problem 43P: A very long, thin wile has a uniform linear charge density of 50C/m . What is the electric field at...
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A very long cylinder of length L and radius R
contains a constant charge of uniform
density, p. Prove that the field strength on
the outside and inside the cylinder is
E= pR^2/2ɛOr when r>R
E=p/2ɛ0*r
when r<R
Where r is the point's distance from the axis
of the cylinder.
In the case of distributing the charge along
the length of the cylinder, its longitudinal
density is A Find the relationship between A
and p.
Then use the first relationship to find
the field strength outside the cylinder in
terms of A
Transcribed Image Text:A very long cylinder of length L and radius R contains a constant charge of uniform density, p. Prove that the field strength on the outside and inside the cylinder is E= pR^2/2ɛOr when r>R E=p/2ɛ0*r when r<R Where r is the point's distance from the axis of the cylinder. In the case of distributing the charge along the length of the cylinder, its longitudinal density is A Find the relationship between A and p. Then use the first relationship to find the field strength outside the cylinder in terms of A
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