How Is Electric Potential Calculated for a Charged Wire Bent into a Circle?

AI Thread Summary
To calculate the electric potential at point P from a uniformly charged wire bent into a circle, one must consider the linear charge density of 2.2 μC/m and the radius of 3.7 m. The potential can be determined using the equation V = - integral (E dl), which requires integration over the wire's length. The user expresses confusion regarding the integration process and the limits needed for the calculation. After spending significant time on the problem, they indicate a realization of the solution. Understanding the integration of electric field contributions from each segment of the wire is crucial for solving this problem.
Arshad_Physic
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Homework Statement



A wire that has a uniform linear charge density of 2.2 μC/m is bent into the shape as
shown below, with radius 3.7 m.

The Coulomb constant is 8.98755 × 109 N · m2/C2. Find the electrical potential at point p.

Here is the image:
http://s769.photobucket.com/albums/xx339…

(Radius is 3.7 and the distance of line is 7.4)
Answer in units of V.



Homework Equations



V = - integral (E dl)

The Attempt at a Solution



I am at a total loss as to how to solve this. First I thought that since the density is uniform, we won't have to integrate. But I am guessing that integration will be done on this one first for the line and then for the circle. But I am totally stuck as to what to integrate, and what will be the limits of integration.

On this one I spent about 1 hour, but I have reached to no conclusion. I need help on this one! :)

PLEASE HELP! :)

Thanks!
 
Last edited by a moderator:
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okay - time is up now - now I can see the solution...
 

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