# If 6 C charge is placed inside a cube, then the electric flux linked with any one face of the cube is:

100 views
in Physics
closed
If 6 C charge is placed inside a cube, then the electric flux linked with any one face of the cube is:
1. ϵo
2. $\frac{1}{ϵ_o}$
3. $\frac{6}{ϵ_o}$
4. 6ϵo

by (53.7k points)
selected

Correct Answer - Option 2 : $\frac{1}{ϵ_o}$

CONCEPT:

Gauss's law:

• According to Gauss law, the total electric flux linked with a closed surface called Gaussian surface is $\frac{1}{ϵ_o}$ the charge enclosed by the closed surface.

$⇒ ϕ=\frac{Q}{ϵ_o}$

Where ϕ = electric flux linked with a closed surface, Q = total charge enclosed in the surface, and ϵo = permittivity

Important points:

1. Gauss’s law is true for any closed surface, no matter what its shape or size.
2. The charges may be located anywhere inside the surface.

EXPLANATION:

Given Q = 6C

• ​By the Gauss law, if the total charge enclosed in a closed surface is Q, then the total electric flux associated with it will be given as,

$⇒ ϕ=\frac{Q}{ϵ_o}$     -----(1)

By equation 1 the total flux linked with the cube is given as,

$⇒ ϕ=\frac{Q}{ϵ_o}$

$⇒ ϕ=\frac{6}{ϵ_o}$

So the flux linked with anyone face of the cube is given as,

$⇒ ϕ'=\frac{\phi}{6}$

$⇒ ϕ'=\frac{1}{ϵ_o}$

• Hence, option 2 is correct.