(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

A wire of length L and negligible transverse dimensions, made of an insulating material, is placed on the x axis between the origin and the point (L,0). The wire has a uniform line charge density lambda.

using Gauss' theorem and exploiting the cylindrical symmetry of the system, show that the electric field at the point (x,y)=(L/2,L/100) is

E=(100lambda)/(2pi epsilon0 L)

3. The attempt at a solution

integral (S) E.da=E 2 pi r l

Q/(epsilon 0)=(lambda l)/(epsilon0)

2pi r l E=lambda l/epsilon0

E=(1/2 pi r l) (lambda l/epsilon0)

=lambda/(2 pi epsilon0 r)

but I don't know how to proceed from here

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# Using Gauss' theorem ande exploiting the cylindrical symmetry of the system, show

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