Calculate the total flux passing through the surface of a cube of side α if a charge q is placed at corner A of the cube as depicted in the adjoiing figure.

Question

Calculate the total flux passing through the surface of a cube of side α if a charge q is placed at corner A of the cube as depicted in the adjoiing figure. <img class="img-fluid question-image" alt="Question" src="https://cdn.tardigrade.in/q/nta/p-oexay14x9xo8nsq7.jpg" /> (A) (q/8 ϵ 0) (B) (q/4 ϵ 0) (C) (q/2 ϵ 0) (D) (q/Ïµ0)

Tardigrade Admin · Accepted Answer

In the figure, when a charge q is placed at corner A of the cube, it is being shared equally by 8 cubes. ∴ The total flux through the faces of the given cube =(q/8 ϵ 0)

Q. Calculate the total flux passing through the surface of a cube of side $α$ if a charge $q$ is placed at corner $A$ of the cube as depicted in the adjoiing figure.

$\frac{q}{8 ϵ _{0}}$

$\frac{q}{4 ϵ _{0}}$

$\frac{q}{2 ϵ _{0}}$

$\frac{q}{ϵ _{0}}$

In the figure, when a charge $q$ is placed at corner $A$ of the cube, it is being shared equally by $8$ cubes.
$∴$ The total flux through the faces of the given cube $= \frac{q}{8 ϵ _{0}}$

Q. Calculate the total flux passing through the surface of a cube of side α if a charge q is placed at corner A of the cube as depicted in the adjoiing figure.

8ϵ0​q​

4ϵ0​q​

2ϵ0​q​

ϵ0​q​