Electric Flux through the semisphere

In summary, when calculating electric flux, the flux is equal to the dot product of the electric field and the area. In the case of a semisphere with an electric field parallel to the x-axis, the flux through the semisphere is equivalent to the flux through its projection onto the yz plane. Additionally, if there is a sphere centered at the origin with no charge inside, the flux is zero. However, if there is a charge inside, the flux can be calculated using Q/epsilon0.
  • #1
YoungILoveYou
10
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?
 
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  • #2
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
 
  • #3
Ok, Thanks for the answer.
Another thing.
If there is a sphere centered at the origin, with radius R, the Flux is zero?
I think that is similar to cube example!

http://img153.imageshack.us/my.php?image=cubeqq7.jpg

What do you think?

Bye
 
  • #4
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.
 

What is electric flux?

Electric flux is a measure of the amount of electric field passing through a given surface. It is represented by the symbol Φ and is measured in units of volts per meter (V/m).

How is electric flux calculated?

Electric flux is calculated by taking the dot product of the electric field vector and the area vector of the surface. This can be represented by the equation Φ = E * A * cos(θ), where E is the electric field, A is the area of the surface, and θ is the angle between the two vectors.

What is the significance of a semisphere in electric flux?

A semisphere is a half-sphere shape that is commonly used in electric flux calculations. It is significant because it represents a closed surface, meaning that the electric flux through the semisphere is equal to the total amount of electric field passing through it.

How does the electric flux through a semisphere change with distance?

The electric flux through a semisphere decreases with distance from the source of the electric field. This is because the electric field strength decreases with distance, resulting in a smaller dot product between the field and area vectors and therefore a smaller electric flux.

What are some real-world applications of electric flux through a semisphere?

Electric flux through a semisphere is used in various practical applications, such as calculating the capacitance of a spherical capacitor, determining the electric field strength at a given distance from a point charge, and analyzing the distribution of charge on a conductive sphere.

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