Potetial Difference between center and point r

AI Thread Summary
The discussion focuses on calculating the potential difference between the center of a cylindrical conductor and a point at distance r from its center. The approach involves setting the potential at the origin to zero and determining the potential at distance r by integrating the electric field. The potential difference is evaluated while neglecting boundary effects, assuming r is comparable to the cylinder's radius. The method of using the electric field and negative integration is confirmed as a reasonable approach. This analysis is crucial for understanding the behavior of electric fields in cylindrical conductors.
lordlarddallas
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Homework Statement


A cylindrical conductor of length L and radius R, L » R, carries a charge Q. 1. Neglecting boundary effects; evaluate the potential difference between a point at distance r from the center of the cylinder, and the center. Assume r to be of the same order of magnitude as R but external to the cylinder.

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The Attempt at a Solution


I would set the potential at the origin equals to 0, then I would calculate the potential at a distance r by finding the electric field and taking the negative integral of it.
 
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lordlarddallas said:
I would set the potential at the origin equals to 0, then I would calculate the potential at a distance r by finding the electric field and taking the negative integral of it.
Seems reasonable. Is that what you wanted to know?
 
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