Electric potential of the arc of a circle

AI Thread Summary
The discussion revolves around calculating the electric potential for an arc of a circle after previously determining the electric field. The user initially attempted to find the potential using the formula V=Edr but realized their result was incorrect. They later derived a new expression for the potential, v = kQ/a, and questioned its validity, noting it resembles the potential of a point charge. The conversation highlights the confusion between the potential for an arc versus that of a point charge, seeking clarification on the correctness of the derived formula. Ultimately, the user is looking for confirmation on their calculations related to electric potential.
madah12
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Homework Statement


I previously calculated the electric field for the the arc of the circle and got
Ex= Q/2pi^2 e_0 a^2 sin(theta)
Ey= Q/2pi^2 e_0 a^2 (1-cos(theta))

I need the electric potential

Homework Equations


The Attempt at a Solution


V=Edr
i got an answer interms of theta and since I know its wrong I won't waste time posting it so which is the best approach?
Edit: I guess I will just post the result to make sure its wrong v = Qtheta/2pi^2 *e_0 a
 
Last edited:
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uhm I see that I made an error in calculation now I have v=kQ/a which is the same as a point charge? is this wrong or right?
 
can anyone atleast tell me if the formula is correct or not?
 

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