Question

A charge of $5C$ is placed at the centre of a spherical gaussian surface of radius $5cm$. The electric flux through the surface is $\frac{1}{{\epsilon }_0}$ times of

• A. $0.1N-m^2/C$
• B. $0.5N-m^2/C$
• C. $1N-m^2/C$
• D. $5N-m^2/C$

Answer 1

The correct option is D $5N-m^2/C$

We know Gauss law $\int E.da=\frac{Q_{total}}{{ϵ}_0}$

$\Rightarrow \varphi =\frac{Q_{total}}{{ϵ}_0}$

$\therefore \varphi =\frac{5}{{ϵ}_0}$