Name: Continuous Charge Distribution
Uploaded: 2019-07-19
Duration: 5 min 39 s
Description: This video will help us understand the necessity of continuous charge distribution and learn about the concept of linear charge density. Learn more.

Question

A charge

Q

is placed at the centre of a cube. What is the electric flux coming out from any one face?

Accepted Answer

According to Gauss' theorem, the flux of the electric field E through any enclosed surface, also known as the Gaussian surface, is proportional to the net charge enclosed divided by the permittivity of free space.Gauss' law on the electrical field defines the static electrical field produced by the distribution of electrical charges.
Gauss's law is a general law applied on any closed floor. It is an important instrument since it enables the measurement of the volume of the enclosed charge to be carried out by mapping the area on the surface outside the application of the charge. For geometries with sufficient symmetry, the measurement of the electrical field is simplified.
Electric flux, the property of an electrical field that can be thought of as the number of electric power lines (or electrical field lines) that intersect a given area. The negative flux is equal to the positive flux in magnitude, so that the net or cumulative electrical flux is zero.
We know that total flux passing through the cube is:

$ϕ = \frac{q}{ε_{\circ}}$

As the charge is symmetrically positioned on each face of the square, the electrical flux flowing through each face is proportional to the 1/6^th of the total flux.

Therefore, electric flux passing through each face

$ϕ' = \frac{ϕ}{6} = \frac{q}{6 ε_{\circ}}$

Hence, the electric flux passing through each face to the cube is $\frac{q}{6 ε_{\circ}}$

A charge $Q$ is placed at the centre of a cube. What is the electric flux coming out from any one face?

Important Questions on Electric Charges and Fields

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