A “semi-infinite” non-conducting rod (that is, infinite in one direction only) has uniform linear charge density(lambda). Show that the electric field at point P makes an angle of 45⁰ with the rod and that this result is independent of the distance R.  To do this, separately find the parallel and perpendicular (to the rod) components of the electric field at P, and show that these components are equal

University Physics Volume 2
18th Edition
ISBN:9781938168161
Author:OpenStax
Publisher:OpenStax
Chapter6: Gauss's Law
Section: Chapter Questions
Problem 86AP: Two non-conducting spheres of radii R1 and R2 are uniformly charged with charge densities p1 and p2...
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A “semi-infinite” non-conducting rod (that is, infinite in one direction only) has uniform linear charge
density(lambda). Show that the electric field at point P makes an angle of 45⁰ with the rod and that this result is
independent of the distance R.


 To do this, separately find the parallel and perpendicular (to the rod) components of the electric field
at P, and show that these components are equal

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