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).

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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).
B
R/2 R/2 R/2 R/2
Transcribed Image Text: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). B R/2 R/2 R/2 R/2
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