Total induced charge of an infinite cylindrical conductor

1. The problem statement, all variables and given/known data
calculate total induced charge on a charged cylinder. where the surface charge density is given by sigma= 2eEo cos(phi)

2. Relevant equations
the total induced charge on the cylinder is

Integral of (sigma) da

can u calculate this integral fo me ... it very urgent..

3. The attempt at a solution
 PhysOrg.com science news on PhysOrg.com >> Ants and carnivorous plants conspire for mutualistic feeding>> Forecast for Titan: Wild weather could be ahead>> Researchers stitch defects into the world's thinnest semiconductor
 Recognitions: Homework Help Use cylindrical coordinates $da \Rightarrow rd\phi dz$.
 Can u please give me the limits under which i'Ve to integrate for r ,Phi, z.

Total induced charge of an infinite cylindrical conductor

here it is infinite long cylinder and what limits can we take in z- direction.
 Recognitions: Homework Help You can't calculate the total charge on an infinite conductor. What you have to do is integrate over a finite piece of conductor then divide the total charge by the length of your z interval. This way you get the total charge on the conductor per length.

Recognitions:
Homework Help
 Quote by Cyosis Use cylindrical coordinates $da \Rightarrow rdrd\phi dz$.
Surely you mean $da=rd\phi dz$....right?

 Quote by Cyosis You can't calculate the total charge on an infinite conductor.
Sure you can, just do the angular integral first

Recognitions:
Homework Help
 Quote by wgdtelr Can u please give me the limits under which i'Ve to integrate for r ,Phi, z.
Well, the entire surface is at some constant radius, so there is no need to integrate over $r$ at all.

If the cylinder is infinitely long, then the limits for $z$ are $\pm \infty$

And the limits for $\phi$ are $0$ to $2\pi$.....These should all be fairly obvious to you....have you not used cylindrical coordinates before?

As for the integration, do the angular integral first!
 yaaaaa I've got zero.. after doin the angular part.

Recognitions:
Homework Help
 Surely you mean LaTeX Code: da=rd\\phi dz ....right?
Ugh not very handy of me to write down the volume element, thanks.

 Sure you can, just do the angular integral firstp
Actually looking at the function that is to be integrated might help next time!

Recognitions:
Homework Help
 Quote by wgdtelr yaaaaa I've got zero.. after doin the angular part.
And this result should be no surprise, since an induced charge density does not change the total charge on a surface, it merely redistributes the charges. If the conductor was neutral before the charge was induced, it will still be neutral afterwards.
 Thread Tools

 Similar Threads for: Total induced charge of an infinite cylindrical conductor Thread Forum Replies Advanced Physics Homework 4 Introductory Physics Homework 17 Classical Physics 0 Introductory Physics Homework 3 Introductory Physics Homework 1