Why Can't the Potential Integral Formula Be Used for Infinite Line Charges?

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The potential integral formula cannot be directly applied to infinite uniform line charges because it is designed for finite charge distributions, where the limits of integration can be defined. For an infinite line charge, the potential diverges, making it impossible to calculate a finite potential using standard integral methods. Additionally, the symmetry of an infinite line charge leads to complications in defining a reference point for potential, as the potential at any point cannot be uniquely determined. This results in an undefined or infinite potential, which contradicts the assumptions of the potential integral formula. Understanding these limitations is crucial for accurately analyzing electric potentials in electrostatics.
brad sue
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Hi ,
i have a question I don't know how to answer:

Explain why the potential integral formula cannot be used to directly determine the potential from an infinite uniform line charge ρlo that is on the z axis.

When we talk about it in class, I learn that the potential integral was used for finite displacement. I d read the textbook but I did not have other information.

So I there other reason to answer this question?

B.
 
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