Electric Field of a Line of Charge

  • #1
If the electric field of a line charge at a distance 'a' is µ/2Π ε0a (µ is linear charge density), then the potential at that point should be µ/2Π ε0 (since potential = electric field x distance). This means that the potential is constant at every point around the line of charge. Hence, this means there is no potential difference between any two points around the line of charge. So, no work should be required to move a small charge from one point to another point around a line of charge. Is this conclusion correct?
 

Answers and Replies

  • #2
35,809
12,537
(since potential = electric field x distance)
That formula only works for constant electric fields with zero potential at zero distance, but nowhere else.

By the way: Please put brackets around denominators, otherwise it is difficult to tell where the fraction ends.
 
  • #3
Dale
Mentor
Insights Author
2021 Award
32,410
9,395

Related Threads on Electric Field of a Line of Charge

  • Last Post
Replies
8
Views
2K
  • Last Post
Replies
3
Views
1K
Replies
4
Views
5K
  • Last Post
2
Replies
35
Views
3K
  • Last Post
Replies
5
Views
5K
  • Last Post
Replies
5
Views
2K
  • Last Post
Replies
22
Views
2K
  • Last Post
Replies
5
Views
1K
Replies
4
Views
938
  • Last Post
Replies
23
Views
1K
Top