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

Spherical capacitor

  • #1

Homework Statement



A spherical capacitor consists of a spherical conducting shell charge [itex]-Q[/itex] concentric with a smaller conducting sphere of radius [itex]4.0[/itex] cm and charge [itex]Q[/itex]. The larger conducting shell has inner and outer radii of [itex]11.0[/itex] cm and [itex]13.0[/itex] cm, respectively. What is the capacitance of the system in pF?

Homework Equations



[itex]C = \frac{Q}{\Delta V}[/itex]

The Attempt at a Solution



I don't know what to do when the outer shell has a thickness. I know that when it doesn't have a thickness you would do
[itex] -\int_{r_1}^{r_2} kQ\frac{dr}{r^2} [/itex]
where [itex]r_1[/itex] and [itex]r_2[/itex] are the inner and outer radii, respectively. But here what do you do for [itex]r_2[/itex]?

Thanks.
 
Last edited:

Answers and Replies

  • #2
1,540
134
How would -Q be distributed on the outer shell ?
 
Last edited:

Related Threads for: Spherical capacitor

  • Last Post
Replies
2
Views
3K
  • Last Post
Replies
1
Views
4K
  • Last Post
Replies
6
Views
2K
  • Last Post
Replies
5
Views
3K
  • Last Post
Replies
6
Views
5K
  • Last Post
Replies
16
Views
5K
  • Last Post
Replies
12
Views
4K
  • Last Post
Replies
12
Views
530
Top