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

AI Thread Summary
To find the work required to move a point charge of 1 nanocoulomb to the center of a thin ring with a charge of 2 nanocoulombs and a radius of 2 meters, one must first calculate the electric field created by the ring. The potential at the center of the ring can be determined using the formula U = qV, where V is the potential. The work done is then calculated using W = -U, which represents the energy needed to move the charge from infinity to the center. The discussion emphasizes the need for a single integral to solve the problem effectively. Understanding the electric potential at the center is crucial for determining the required work.
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
 
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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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