Q146 / 160 · AP EAMCET 2021 (20 Aug Shift 1) · Physics

What is the electric flux for Gaussian surface A that encloses the charged particles in free space? [Given: $q_{1} = - 14 nC, q_{2} = 78.85 nC, q_{3} = - 56 nC]$

Solution

Using Gauss theorem of electrostatics, the electric flux is $ϕ = \frac{q}{ε_{0}}$

Net charge enclosed by the gaussian surface A is, $q = q_{1} + q_{2} + q_{3}$

$\Rightarrow q = 8.85 nC$

Electric flux, $ϕ = \frac{8.85 \times 10^{- 9} C}{8.85 \times 10^{- 12} C^{2} N^{- 1} m^{- 2}} = 10^{3} N m^{2} C^{- 1}$

Hence, the correct answer is option: 'A'.