# The net electric flux through a spherical surface having 10 μC charge at the centre is

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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

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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 $ϕ = \frac{q}{ϵ_0} = \frac{10 \;\times \;10^{-6}}{ϵ_0} \:{Vm}$