Limits of integration for electric potential

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SUMMARY

The discussion centers on the limits of integration for calculating electric potential, specifically from 0 to R_0, rather than from 0 to x. The rationale is that the potential at point P is derived from multiple ring elements of a disk, where the radius varies from 0 to R_0. Integrating from 0 to x is invalid because the distance x to point P remains constant, and thus does not contribute to the varying potential being summed from the ring elements.

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Calpalned
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In the example in the picture, we can see that they chose the limits of integration to be from 0 to R_0. Why didn't they choose x (that is, from 0 to x)? Isn't that what we normally integrate over when we find potential energy and electric fields?
Thank you
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Here we are adding potential at P due to different ring elements. The disk is considered as large numbers of thin rings with radii varying from 0 to R0 hence the potential due to a ring element is integrated for radius 0 to R0.
 
That makes sense... so integrating from 0 to x would be invalid?
 
Yes, actually integration is the sum and we are here adding nothing which is varying with x. The distance x of P is a constant.
 
mukundpa said:
Yes, actually integration is the sum and we are here adding nothing which is varying with x. The distance x of P is a constant.
Ok thank you. I understand now
 
welcome.
 
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