Question:
A point charge of \(2.0\,µC\) is at the centre of a cubic Gaussian surface 9.0 cm on edge. What is the net electric flux through the surface?
A point charge of \(2.0\,µC\) is at the centre of a cubic Gaussian surface 9.0 cm on edge. What is the net electric flux through the surface?
Updated On: Sep 28, 2023
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Solution and Explanation
Net electric flux \(( Φ_{Net})\) through the cubic surface is given by
\(Φ_{Net} = \frac{q}{ε_0}\)
Where,
\(ε_0\) = Permittivity of free space \(= 8.854 × 10^{−12} N^{−1}C^2 m^{−2}\)
\(q =\) Net charge contained inside the cube \(= 2.0\,µC = 2 × 10^{−6} C\)
\(Φ_{Net} = \frac{2 × 10^{ -6}}{ 8.854 × 10 ^{-12}}\)
\(= 2.26 × 10^5 N m^2 C^{−1}\)
The net electric flux through the surface is\(= 2.26 × 10^5 N m^2 C^{−1}.\)
\(Φ_{Net} = \frac{q}{ε_0}\)
Where,
\(ε_0\) = Permittivity of free space \(= 8.854 × 10^{−12} N^{−1}C^2 m^{−2}\)
\(q =\) Net charge contained inside the cube \(= 2.0\,µC = 2 × 10^{−6} C\)
\(Φ_{Net} = \frac{2 × 10^{ -6}}{ 8.854 × 10 ^{-12}}\)
\(= 2.26 × 10^5 N m^2 C^{−1}\)
The net electric flux through the surface is\(= 2.26 × 10^5 N m^2 C^{−1}.\)
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