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Chapter 20: Problem 30
Find the line charge density on a long wire if the electric field \(45 \mathrm{cm}\) from the wire has magnitude \(260 \mathrm{kN} / \mathrm{C}\) and points toward the wire.
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Why does a dipole, which has no net charge, produce an electric field?
A \(65-\mu C\) point charge is at the origin. Find the electric field at the points (a) \(x=50 \mathrm{cm}, y=0 \mathrm{cm} ;\) (b) \(x=50 \mathrm{cm}, y=50 \mathrm{cm}\) and (c) \(x=25 \mathrm{cm}, y=-75 \mathrm{cm}\)
You have two charges \(+4 q\) and one charge \(-q .\) How would you place them along a line so there's no net force on any of the three?
Two identical small metal spheres initially carry charges \(q_{1}\) and \(q_{2} .\) When they're \(1.0 \mathrm{m}\) apart, they experience a \(2.5-\mathrm{N}\) attractive force. Then they're brought together so charge moves from one to the other until they have the same net charge. They're again placed \(1.0 \mathrm{m}\) apart, and now they repel with a \(2.5-\mathrm{N}\) force. What were the original charges \(q_{1}\) and \(q_{2} ?\)
Find the magnitude of the electric field due to a charged ring of radius \(a\) and total charge \(Q\) on the ring axis at distance \(a\) from the ring's center.
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