A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 one year ago
A nonconducting rod with a uniformly distributed charge +Q. The rod forms a 10/24 of circle with radius R and produces an electric field of magnitude Earc at its center of curvature P. If the arc is collapsed to a point at distance R from P ,by what factor is the magnitude of the electric field at P multiplied?
anonymous
 one year ago
A nonconducting rod with a uniformly distributed charge +Q. The rod forms a 10/24 of circle with radius R and produces an electric field of magnitude Earc at its center of curvature P. If the arc is collapsed to a point at distance R from P ,by what factor is the magnitude of the electric field at P multiplied?

This Question is Open

ParthKohli
 one year ago
Best ResponseYou've already chosen the best response.0Kinda like this question. If the rod is collapsed at a point at distance \(R\) from the point, then it can be treated as a point charge producing an electric field of \(\frac{kQ}{R^2}\). If it is an arc, then we'll have to use calculus. 10/24th of a circle means that an angle of 150 degrees is subtended at the center.dw:1444508331133:dw

ParthKohli
 one year ago
Best ResponseYou've already chosen the best response.0\[dQ = \frac{6Q}{5\pi}d\theta \]We only need to calculate the vertical component of the electric field, as the horizontal would cancel out (see it for yourself!)\[dE_{y} = k \frac{dQ}{R^2}\cos \theta = \frac{6Qk}{5\pi R^2}\cos \theta d \theta \]Integrate the above from \(5\pi/12 \) to \(+5\pi /12\).
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.