New answers tagged method-of-images
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Line of charge next to infinitely long, grounded cylinder - valid solution?
I think this response expands on the one made by Ruffolo. The equation for the electric potential arising from a static charge density is,
$$
\nabla^2 V = -\frac{\rho}{\epsilon_0}
$$
This is a second ...
- 36
2
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Accepted
Line of charge next to infinitely long, grounded cylinder - valid solution?
Yes, the problem is ill posed mathematically. You cannot ground the cylinder, i.e. set its voltage to the one at infinity. The best you can do is impose it to be an equipotential with a finite voltage ...
- 15.1k
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Line of charge next to infinitely long, grounded cylinder - valid solution?
Grounding fixes the potential (usually to zero - but this is a matter of convention.) In this case ground is treated as an infinitely large object, whose potential and charge are not affected (to any ...
- 65k
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Potential Problem solution for a Charged Sphere and a Point charge
See Jackson, sec. 2.3, p.60. To summarise the argument, you could think of it like this: a conducting sphere of radius $a$ is held at $0$ potential, and a point charge $q$ is brought near it at a ...
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