A cylinder of constant, positive charge density p and radius R has a cylindrical hole in it. The hole, of radius R/2 is not co-axial but centered at r = R/2 as in the diagram of the cross-section below. Find the electric field (magnitude and direction) at points A and B, both at r = R/2, but at different angles. Hint: A hole is really just a volume of no net charge that can be modeled as two overlapping volumes: one of positive charge density and one of negative charge density (but same magnitude).

A cylinder of constant, positive charge density p and radius R has a cylindrical hole in it. The hole, of radius R/2 is not co-axial but centered at r = R/2 as in the diagram of the cross-section below. Find the electric field (magnitude and direction) at points A and B, both at r = R/2, but at different angles. Hint: A hole is really just a volume of no net charge that can be modeled as two overlapping volumes: one of positive charge density and one of negative charge density (but same magnitude).

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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