- #1
mawgs
- 5
- 0
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?
Potential due to non-uniformly charged disk
In summary, the conversation discusses finding the total charge of a charged ring using the equation v=q/4πrε and integrating the charge density equation. It is determined that the ring can be treated as a single point charge due to the uniform distance of the charge elements from the point on the axis. However, integration is still necessary to find the charge and the correct value for r must be used in the equation.
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?
- #2
TSny
Science Advisor
Homework Helper
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2023 Award
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No, you can't treat the entiremawgs said:
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.]
Last edited:
Related to Potential due to non-uniformly charged disk
1. What is a non-uniformly charged disk?
A non-uniformly charged disk is a circular flat object that has an uneven distribution of electric charge on its surface. This means that different portions of the disk have different amounts of charge.
2. How is the potential due to a non-uniformly charged disk calculated?
The potential due to a non-uniformly charged disk can be calculated using the formula V = kQ/r, where V is the potential, k is the Coulomb's constant, Q is the total charge on the disk, and r is the distance from the center of the disk. This formula takes into account the uneven distribution of charge on the disk.
3. What factors affect the potential due to a non-uniformly charged disk?
The potential due to a non-uniformly charged disk is affected by the total charge on the disk, the distance from the center of the disk, and the distribution of charge on the disk. As the distance increases, the potential decreases, and as the charge and non-uniform distribution of charge increases, the potential increases.
4. Can the potential due to a non-uniformly charged disk be negative?
Yes, the potential due to a non-uniformly charged disk can be negative. This occurs when the disk has an excess of negative charge, resulting in an overall negative potential.
5. How is the potential due to a non-uniformly charged disk different from that of a uniformly charged disk?
The potential due to a non-uniformly charged disk takes into account the uneven distribution of charge on the disk, while the potential due to a uniformly charged disk assumes a uniform distribution of charge. This means that the potential due to the non-uniformly charged disk will vary at different points, while the potential due to the uniformly charged disk will be constant throughout.
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