1. Unit 1 Day 16: Electric Potential due to any Charge Distribution
Electric Field due to a single point charge
Electric Potential of a ring of charge
Electric Potential due to a charged disk

2. Electric Potential of a Single Point Charge
The electric potential due to a single point charge is:
In a region where there is a distribution of electric charge, we can sum over all the individual point charges, relative to some point a:
If the charge distribution is continuous, then:

3. Electric Potential of a Ring of Charge
A thin circular ring which has a uniformly distributed charge Q, the electric potential at point P on the axis of the ring is:
For x>>R, this result reduces to:

4. Electric Potential due to a Charged Disk
A thin, flat disk of radius R0, having
A uniformly distributed charge
Divide the disk into thin rings of
Radius R, and thickness dR, so we
Can use the previous result.
The disk is uniformly charged (Q),
So that the charge contained in each
Ring is proportional to its area.
For x>>R0: