Electric potential of insulating rod

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Homework Help Overview

The problem involves calculating the electric potential at a point in the center of a uniformly charged insulating rod shaped into a semicircle. The rod has a total charge of -8.50e-6C and a length of 20cm.

Discussion Character

  • Exploratory, Mathematical reasoning, Assumption checking

Approaches and Questions Raised

  • Participants discuss the necessity of using integrals to calculate the electric potential and question the implications of the rod's shape on the calculations. There is also a mention of the relationship between the total charge and the radius of the semicircle.

Discussion Status

Some participants have provided guidance on the use of integrals and formulas relevant to the problem. There is an acknowledgment of the need for the original poster to share their work for further assistance. The discussion reflects a mix of attempts to clarify the problem and explore the mathematical approach without reaching a consensus.

Contextual Notes

There is an indication that the original poster may not have provided sufficient initial work, which could be affecting the responses they receive. Additionally, the original poster's misunderstanding regarding the semicircular shape and its effect on the final answer is noted.

pattiecake
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This hmwk. problem has got me totally buggin...

A uniformly charged insulating rod of length 20cm is bent into the shape of a semicircle (so it looks like the letter "C"). The rod has a total charge of -8.50e-6C. Find the electric potential at a point P, in the center of the semicircle.

I know crazy things happen to electric potential when dealing with insulators...also, will this problem involve integrals?

If anyone has a clue I'd appreciate the guidance! Thanks in advance!
 
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Why will no one respond? =(
 
Yes, this requires and integral.

[tex]V=ke \int{dq/r}[/tex]
[tex]V =ke(Q/r)[/tex]

Where Q is the total charge of the rod and r is the radius this rod makes. Remember that circumference=2*pi*r, so use that to find r.

When you figure it out, post your answer.

I think no one has responded because you didn't post any sort of work that you did.
Post up what you have and we can take this further.
 
thank u so much. i didn't mean to be an answer leech!

i used this formula before: V=Ke(Q/r): using Circumference=2piR to find the radius. The problem was after i got my answer: -2.39, i forgot we were dealing with a semicircle, and that i had to divide by 2. my final answer (which webassign confirmed) was -1.2MV. thanks so much for your help!
 

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