• Support PF! Buy your school textbooks, materials and every day products Here!

Electric Charge

  • Thread starter Chris W
  • Start date
  • #1
27
0
Hi all. I need some help.
Without using Gauss's Law, I have to derive the formula for the electric charge for different cases.
-I already did few cases such as:
1. Infinite line of charge
2. Semi - infinite line of charge
3. Ring of charge
4. Semi - Ring of charge or any arc of charge
5. Disk of charge
6. Infinite Sheet of Charge

-I need to derive:
7. Cylinder of charge
8. Cone of charge
9. Sphere of charge
10. Shell of Charge

I know that the basic "building block" for cases 7-10 is the ring of charge which I already have. Basically what I need is the setup of the integral for cases 7-10.

Thank you

Chris W
 

Answers and Replies

  • #2
It's just an exercise in different coordinates. A cylinder has constant r, varying z and phi/theta in cylindrical coordinate, a cone has varying z, r and phi/theta in cylindricalm a sphere has varying, r, phi, theta in spherical and a shell has constant r, varying phi, theta in spherical
 
  • #3
27
0
Thanks!!

Yeah. Looks like I have all I need now I just have to set up the integrals.

Thanks! wow that was quick ... lol


please see what I have so far ... I hope all is good!

Thank you one more time

see attachment
 

Attachments

  • #4
27
0
  • #5
27
0
this is the rest of what I have so far

sheet of charge can be viewed as the disk of charge and letting the R go to the infinify
 

Attachments

Related Threads for: Electric Charge

  • Last Post
Replies
10
Views
1K
  • Last Post
Replies
15
Views
2K
  • Last Post
Replies
3
Views
1K
  • Last Post
Replies
15
Views
1K
  • Last Post
Replies
2
Views
1K
  • Last Post
Replies
1
Views
3K
  • Last Post
Replies
5
Views
1K
  • Last Post
Replies
2
Views
1K
Top