Electric Flux through the semisphere

3 replies · 2K views · last reply
YoungILoveYou
Messages
10
Reaction score
0
Hello, if we have an electric field E parallel to X axis and a semisphere with axis parallel to X axis, which is the electric flux through the semisphere?
 
YoungILoveYou said:
Hello, if we have an electric field E parallel to X axis and a semisphere with axis parallel to X axis, which is the electric flux through the semisphere?
The flux is:

[tex]\phi = \int E\cdot dA[/tex]

Since flux is a dot product of the field and area, the flux through the semisphere is the same as the flux through the projection of the semisphere onto the yz plane (which is perpendicular to x axis).

AM
 
Yes, if there's no charge inside it, which there wouldn't be with that field, I think. If there is a charge inside the sphere, the flux is Q/epsilon0.