Question

A charge q microcoulomb is placed at the center of a cube. What is the electric flux coming out from any one surface?

Answer 1

According to gauss theorem
Flux=q/epsilonot
A cube has six faces
Therefore flux from one face is
Flux=q/6 epsilonot

Answer 2

Answer:

The electric flux coming out from any one surface is $\phi=\dfrac{q}{6\epsilon_{0}}$.

Explanation:

Given that,

Charge =q

If the charge is placed on the center of cube.

Then, the flux through surface of cube is 6∅.

Where, ∅ = flux through each face

Using Gauss's law

Gauss's law is defined as:

$\phi=\dfrac{q}{\epsilon_{0}}$

The flux through one surface of cube is

$\phi=\dfrac{\phi}{6}$

$\phi=\dfrac{q}{6\epsilon_{0}}$

Hence, The electric flux coming out from any one surface is $\phi=\dfrac{q}{6\epsilon_{0}}$.