Potential due to non-uniformly charged disk

[mawgs]

Homework Statement

2. Equations
v=q/4πrε

3. Attempt at solution
Can I find the total charge by integrating the charge density equation from 0 to 2π and then plug that into the above equation?

 

[TSny]

Can I find the total charge by integrating the charge density equation from 0 to 2π and then plug that into the above equation?

No, you can't treat the entire disk as a single point charge.

Roll up your sleeves and integrate.

[EDIT: Sorry. From the thread title, I was thinking of a disk, not a ring. Yes you can treat the ring as a single point charge because all the charge elements are at the same distance from the point on the axis. (But you still need to integrate to find the charge.) Make sure you use the correct value for r in v=q/4πrε.]