Limits of integration for electric potential

[Calpalned]

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

 

[mukundpa]

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.

 

[Calpalned]

That makes sense... so integrating from 0 to x would be invalid?

 

[mukundpa]

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.

 

[Calpalned]

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

 

[mukundpa]

welcome.