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## Homework Statement

I am suppose to find an expression for the electric field of a ring.

## Homework Equations

[tex]E =\frac{Kq}{r^2}[/tex]

## The Attempt at a Solution

I calculated my results and I reached up to this:

[tex]\frac{Kx\Delta q}{(R^2 + x^2)}^{3/2}[/tex] where R = radius, x = distance, K = constant, q = charge.

And then I looked at my book and noticed they integrated with respect to [tex]\Delta q [/tex] which got me confused because [tex]\Delta q [/tex] is not a geometric property. And the final expression the book got was [tex]\frac{Kx q}{(R^2 + x^2)}^{3/2}[/tex].

How come they can integrate with respect to [tex]\Delta q [/tex]?