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Total induced charge of an infinite cylindrical conductor 
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#1
May1809, 04:06 PM

P: 9

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 


#2
May1809, 04:12 PM

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P: 1,495

Use cylindrical coordinates [itex]da \Rightarrow rd\phi dz[/itex].



#3
May1809, 04:20 PM

P: 9

Can u please give me the limits under which i'Ve to integrate for r ,Phi, z.



#4
May1809, 04:22 PM

P: 9

Total induced charge of an infinite cylindrical conductor
here it is infinite long cylinder and what limits can we take in z direction.



#5
May1809, 04:31 PM

HW Helper
P: 1,495

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.



#6
May1809, 04:35 PM

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P: 5,003




#7
May1809, 04:41 PM

HW Helper
P: 5,003

If the cylinder is infinitely long, then the limits for [itex]z[/itex] are [itex]\pm \infty[/itex] And the limits for [itex]\phi[/itex] are [itex]0[/itex] to [itex]2\pi[/itex].....These should all be fairly obvious to you....have you not used cylindrical coordinates before? As for the integration, do the angular integral first! 


#8
May1809, 05:01 PM

P: 9

yaaaaa I've got zero.. after doin the angular part.



#9
May1809, 05:04 PM

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P: 1,495




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