# Electrostatics: Calculate the Electric Field near a Charged Ring

• polibuda
In summary, the conversation is about someone having trouble with a solution and needing someone to check it. They are also discussing how to calculate the potential on a given point and how to use LaTeX features to make formulae legible. The conversation ends with a suggestion to integrate around the ring of the result of the potential from an infinitesimal segment at a specific location instead of using a more complex approach.
polibuda
Homework Statement
Find the potential at p-point (0,0, z) from a circular ring (x ^ 2 + y ^ 2 = R ^ 2) uniformly charged with linear density q1.
Relevant Equations
q1
I have the problem with my solution. I don't know it is correct. Could somebody check it?

Last edited:
vanhees71 and Delta2
How can we check without seeing your calculation? Do you have an idea, how to calculate the potential on a given point? Also please use the great LaTeX feature of the forum to make your formulae legible. Just click on "LaTeX Guide" to see how it works:

https://www.physicsforums.com/help/latexhelp/

Hamiltonian
I guess he/she run into problems uploading the images with his attempt.

...unless what he writes in relevant equations of the OP is his final answer, but we still have to check his work.

Delta2 said:
I guess he/she run into problems uploading the images with his attempt.

...unless what he writes in relevant equations of the OP is his final answer, but we still have to check his work.
Yes, that is true. I am sorry for my mistakes.

Last edited:
If you use the approach that ## V=-\int \vec{E} \cdot dl ##, you would need to integrate from ## z'=+\infty ## to ## z ##. In any case, that method is a lot of extra and unnecessary work. For this problem, you need to simply integrate around the ring of the result of the potential from an infinitesimal segment ## ds ## at location ## (r,\theta,0) ##, (cylindrical coordinates). The total potential from separate charges is additive.

polibuda, vanhees71 and etotheipi

## 1. What is electrostatics?

Electrostatics is the branch of physics that deals with the study of electric charges at rest and the forces that are created between them.

## 2. What is an electric field?

An electric field is a region in space where an electric charge experiences a force. It is represented by vectors that show the direction and strength of the force.

## 3. How do you calculate the electric field near a charged ring?

The electric field near a charged ring can be calculated using the formula E = kQx/r^2, where E is the electric field, k is the Coulomb's constant, Q is the charge of the ring, x is the distance from the center of the ring, and r is the radius of the ring.

## 4. What factors affect the electric field near a charged ring?

The electric field near a charged ring is affected by the charge of the ring, the distance from the center of the ring, and the radius of the ring. It is also affected by the presence of other charges in the surrounding area.

## 5. How is the electric field near a charged ring related to the force on a test charge?

The electric field near a charged ring is directly related to the force on a test charge. The force on a test charge is given by the formula F = qE, where F is the force, q is the charge of the test charge, and E is the electric field. This means that the stronger the electric field, the greater the force on the test charge will be.

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