Circular ring and potential at its centre.

Click For Summary
SUMMARY

The discussion focuses on calculating the electric potential at a point on the axis of a uniformly charged circular ring with radius r and linear charge density λ. The potential V is derived using the formula V = Kq/r, where K is the Coulomb's constant, and the charge dq is expressed as λdl. Participants emphasize the importance of integrating the contributions of each infinitesimal charge around the ring to find the total potential at a distance x from the center.

PREREQUISITES
  • Understanding of electric potential and electric fields
  • Familiarity with calculus, particularly integration
  • Knowledge of Coulomb's law and linear charge density
  • Concept of point charges and their contributions to electric potential
NEXT STEPS
  • Study the derivation of electric potential for different charge distributions
  • Learn about the integration of charge contributions in electrostatics
  • Explore the relationship between electric potential and electric field
  • Investigate the applications of electric potential in real-world scenarios
USEFUL FOR

Students of physics, particularly those studying electromagnetism, as well as educators and professionals seeking to deepen their understanding of electric potential and field calculations in charged systems.

lavanyasharma
Messages
1
Reaction score
0

Homework Statement


Consider a circular ring of radius r, uniformly hcarged with linear density lambda. Find the electric potential at a point on the axis at a distance x from the centre of the ring. Using this expression for the potential, find the electric field at this point.


Homework Equations



V = Kq/r
Electric field = spatial derivative of voltage

The Attempt at a Solution


I'm having trouble finding the potential! I do not understand how to calculate the potential due to a ring? I can't assume it to be a point hcarge!
 
Physics news on Phys.org
lavanyasharma said:
I'm having trouble finding the potential! I do not understand how to calculate the potential due to a ring? I can't assume it to be a point hcarge!

The charge carried on a small length dl can be considered as point charge. Calculate the contribution of the charge dq=Lambda*dl to the potential at x and integrate round the ring.

ehild
 

Attachments

  • chargering.JPG
    chargering.JPG
    7.6 KB · Views: 532

Similar threads

Replies
11
Views
4K
Replies
5
Views
1K
  • · Replies 10 ·
Replies
10
Views
2K
  • · Replies 13 ·
Replies
13
Views
2K
Replies
4
Views
4K
Replies
7
Views
2K
  • · Replies 1 ·
Replies
1
Views
1K
Replies
4
Views
2K
  • · Replies 6 ·
Replies
6
Views
2K