Electric flux through a surface

  • Thread starter Plasmosis1
  • Start date
  • #1
17
0

Homework Statement


A point charge q is situated a distance d/2 above a square surface of side d as shown (see attached).
a) It cannot be determined
b) 2q/ε0d
c) q/4[itex]\pi[/itex]ε0
d) q/[itex]\pi[/itex]ε0d2
e) q/6ε0

Homework Equations



[itex]\Phi[/itex]=qenc0=[itex]\oint[/itex]E*dA

The Attempt at a Solution


Shouldn't the answer be zero because whatever enters the area also leave the area? If not I know I should use the integral of E*dA but I don't know what E would be.
 

Attachments

  • Physics1.PNG
    Physics1.PNG
    5 KB · Views: 588
Last edited:

Answers and Replies

  • #2
rude man
Homework Helper
Insights Author
Gold Member
7,880
797
If the area were a thin volume you'd be correct, the net flux into the volume = 0, but flux thru a surface A = the integral over the surface of the dot-product of the electric field E and an element of surface area dA: flux = ∫∫ E*dA.


So yes, you need to integrate E*dA over the surface. dA is normal to the surface at every point on the surface.
 
  • #3
nasu
Gold Member
3,775
432
You can manage without integration.
Imagine the charge is in the middle of a cube with side d.
Due to symmetry, the flux through each face of the cube is the same.
And the total flux through the cubic, closed surface can be found from Gauss' law.
 
  • #4
rude man
Homework Helper
Insights Author
Gold Member
7,880
797
Nasu has come up with the right and simple way to solve this.
 

Related Threads on Electric flux through a surface

  • Last Post
Replies
9
Views
2K
Replies
2
Views
4K
Replies
2
Views
3K
Replies
6
Views
2K
Replies
1
Views
706
Replies
1
Views
5K
  • Last Post
Replies
1
Views
18K
  • Last Post
Replies
0
Views
2K
Replies
1
Views
6K
  • Last Post
Replies
1
Views
1K
Top