Electric potential of a conducting sphere

  • Thread starter elyons
  • Start date
  • #1
10
1

Homework Statement



A 5.5 cm radius conducting sphere is charged until the electric field just outside its surface is 1667 V/m. What is the electric potential of this sphere, relative to infinity?

Homework Equations



V = - integral ( E (dot) dl )

The Attempt at a Solution



They only way I can think of going about this makes the potential directly related to the distance from the sphere, I know this is wrong because that would make the potential at an infinite distance go to -infinity. I am aware that for a charged sphere the potential at infinity must be 0. Is there some step I am missing that would make this field inversely proportional to the distance? I have been stuck on this one for awhile now and am not progressing...
Thanks for any help!
 

Answers and Replies

  • #2
vela
Staff Emeritus
Science Advisor
Homework Helper
Education Advisor
15,447
2,071
Start by applying Gauss's law to calculate the electric field in the region outside the sphere.
 

Related Threads on Electric potential of a conducting sphere

Replies
21
Views
17K
Replies
3
Views
1K
Replies
8
Views
11K
Replies
38
Views
11K
Replies
4
Views
13K
Replies
4
Views
40K
Replies
4
Views
25K
Replies
1
Views
2K
Replies
23
Views
3K
Top