Finding work to move a point charge to the center of a thin ring.

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SUMMARY

The discussion focuses on calculating the work required to move a point charge of 1 nanocoulomb (q) from infinity to the center of a thin ring with a charge of 2 nanocoulombs (Q) and a radius of 2 meters. The relevant equations include the potential energy equation U = qV and the work equation W = -U. Participants suggest starting with the electric field (E) created by the ring and calculating the potential at the center of the ring to determine the work done.

PREREQUISITES
  • Understanding of electric fields and potentials in electrostatics.
  • Familiarity with the concepts of work and energy in physics.
  • Knowledge of integral calculus for solving the problem mathematically.
  • Basic understanding of point charges and their interactions.
NEXT STEPS
  • Calculate the electric field (E) generated by a charged ring at its center.
  • Determine the electric potential (V) at the center of the ring using the charge distribution.
  • Apply the work-energy principle to find the work done (W) in moving the charge.
  • Explore similar problems involving point charges and electric fields for practice.
USEFUL FOR

Students studying electromagnetism, physics educators, and anyone interested in solving electrostatic problems involving point charges and charged rings.

zbou
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1. Find the work required to move a point charge from infinitely far away to the center of a thin ring.

The point charge is q= 1nanocoulomb.
The rings charge is Q= 2 nanoC.
The ring has a radius r=2m.

Homework Equations



U= qV
W= -U

Thoughts
I think the first thing to consider is the field E created by the ring. I also know that this problem should be able to be solved with a single integral.

I don't really know where to start.

Thanks in advance
 
Last edited:
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welcome to pf!

hi zbou! welcome to pf! :smile:

the work done for the whole will be the sum of the work done for each part :wink:
 
zbou said:
I don't really know where to start.

Thanks in advance
How about calculating the potential in the center of the ring?
 

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