There is a point charge q located at the centre of a cube. What is the electric flux of this point charge, through a face of the cube?

Question

There is a point charge q located at the centre of a cube. What is the electric flux of this point charge, through a face of the cube? (A)  (q/ε 0)  (B)  (q/6ε 0)  (C)  (q/3ε 0)  (D) It will depend upon the size of the cube

Tardigrade Admin · Accepted Answer

If che is placed in the centre of cube, flux through surface of cube is 6 φ, where φ is flux through each face. by gauss's law, 6 φ=( q /ϵ0) ⇒ φ=( q /6 ∈0) Hence ,l

Q. There is a point charge $q$ located at the centre of a cube. What is the electric flux of this point charge, through a face of the cube?

$\frac{q}{ε _{0}}$

$\frac{q}{6 ε _{0}}$

$\frac{q}{3 ε _{0}}$

It will depend upon the size of the cube

If che is placed in the centre of cube, flux through surface of cube is $6 ϕ$ , where $ϕ$ is flux through each face. by gauss's law,
$6 ϕ = \frac{q}{ϵ _{0}}$
$\Rightarrow ϕ = \frac{q}{6 \in _{0}}$
Hence $, l$

Q. There is a point charge q located at the centre of a cube. What is the electric flux of this point charge, through a face of the cube?

ε0​q​

6ε0​q​

3ε0​q​