Question

The net electric flux through a spherical surface having 10 μC charge at the centre is
1. \(\frac{10 \mu}{2\epsilon_0}\) Vm
2. \(\frac{10\; \times\; 10^{-6}}{\epsilon_0}\) Vm
3. \(\frac{10 }{\epsilon_0}\) Vm
4. None of the above

Answer 1

Correct Answer - Option 2 : \(\frac{10\; \times\; 10^{-6}}{\epsilon_0}\) Vm

The correct answer is option 2) i.e. \(\frac{10\; × \;10^{-6}}{\epsilon_0}\) Vm

CONCEPT:

• Gauss's Law for electric field: It states that the total electric flux emerging out of a closed surface is directly proportional to the charge enclosed by this closed surface. It is expressed as:

\(ϕ = \frac{q}{ϵ_0}\)

Where ϕ is the electric flux, q is the charge enclosed in the closed surface and ϵ0 is the permittivity of free space

EXPLANATION:

• The charge, q = 10 μC = 10 × 10^-6 C

From Gauss's law, electric flux \(ϕ = \frac{q}{ϵ_0} = \frac{10 \;\times \;10^{-6}}{ϵ_0} \:{Vm}\)