Using Gauss's Law to Calculate Electric Field of a Charged Thread

AI Thread Summary
Gauss's Law can be applied to calculate the electric field of a uniformly charged finite thread, but it lacks sufficient symmetry for a straightforward analytical solution. The electric field must be considered in parts, as the lateral flow and cylinder caps act as independent geometric objects. Numerical methods are often required for such calculations, especially since the problem does not yield simple results except at significant distances. The Coulomb integral is a more effective approach for determining the potential and electric field in this scenario. Overall, while Gauss's Law is applicable, it is not the most practical method for this specific charge distribution.
Guillem_dlc
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Hello,

Can not Gauss's Law be used to calculate the electric field generated by a uniformly charged finite thread?

I suppose it is because I can not consider the electric field constant (always going to the same direction), and for this I would have to do it by parts (the lateral flow, and the flow of the cylinder caps) as if they were two independent geometric objects, which makes it not a closed surface. true?
 
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Guillem_dlc said:
Hello,

Can not Gauss's Law be used to calculate the electric field generated by a uniformly charged finite thread?

I suppose it is because I can not consider the electric field constant (always going to the same direction), and for this I would have to do it by parts (the lateral flow, and the flow of the cylinder caps) as if they were two independent geometric objects, which makes it not a closed surface. true?

I don't quite understand what "... uniformly charged finite thread ... " means. Do you mean a finite line charge?

Note that Gauss's law can be used to calculate ANY type of charge distribution. However, it doesn't mean that it is solvable analytically for those charge distribution. The ones we deal with in intro physics are the ones with high symmetry that allow for the calculation of the electric flux to be simple enough.

So yes, Gauss's law can be used to calculate the electric field (or electric field flux) for a finite line charge. But you will have to solve it numerically, since there isn't a simple analytical solution, except at very far away in the spherical cow regime.

Zz.
 
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ZapperZ said:
I don't quite understand what "... uniformly charged finite thread ... " means. Do you mean a finite line charge?

Note that Gauss's law can be used to calculate ANY type of charge distribution. However, it doesn't mean that it is solvable analytically for those charge distribution. The ones we deal with in intro physics are the ones with high symmetry that allow for the calculation of the electric flux to be simple enough.

So yes, Gauss's law can be used to calculate the electric field (or electric field flux) for a finite line charge. But you will have to solve it numerically, since there isn't a simple analytical solution, except at very far away in the spherical cow regime.

Zz.

Thanks!

Guillem
 
The potential and electric field of a finite uniformly charged thread is readily found from the Coulomb integral.
There is not enough symmetry to make Gauss's law useful.
 
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