Continuous Surface Sources

  • #1

Homework Statement


Find the total charge on a circular disc of radius ρ = a if the charge density is given by
ρs = ρs0 (e^−ρ) sin2 φ C/m2 where ρs0 is a constant.
Are the two limits of integration from 0 -> a for ρ and 0->2∏ for φ? In the example given in the notes, ρ varies, instead of being a constant value. Does this mean that I cannot integrate ρ in this problem?


Homework Equations



Q = ∫ρdS

The Attempt at a Solution



Q = ∫∫ρs0 (e^−ρ) sin^2 (φ) dφdρ...
 
Last edited:

Answers and Replies

  • #2
Spinnor
Gold Member
2,176
384
With the sin term it looks like there is as much positive as negative?

Edit, now I see the sin^2

Your integral looks doable.
 

Related Threads on Continuous Surface Sources

  • Last Post
Replies
3
Views
768
  • Last Post
2
Replies
30
Views
3K
  • Last Post
Replies
8
Views
3K
  • Last Post
Replies
1
Views
2K
  • Last Post
Replies
5
Views
1K
  • Last Post
Replies
1
Views
1K
  • Last Post
Replies
2
Views
28K
  • Last Post
Replies
6
Views
2K
Top