Question

The total electric flux through a closed surface is equal to

• A. the algebraic sum of the charges enclosed by that surface.
• B. $\frac{1}{{ϵ}_0}$ times the algebraic sum of the charges enclosed by that surface.
• C. $\frac{1}{{ϵ}_0}$ times the algebraic sum of the charges outside that surface.
• D. $\frac{1}{{ϵ}_0}$ times the algebraic sum of the charges on that surface.

Answer 1

The correct option is B $\frac{1}{{ϵ}_0}$ times the algebraic sum of the charges enclosed by that surface.

Electric flux is a measure of number of field lines crossing a given surface area.

It is given by the algebraic sum of all the charges inside the closed surface area divided by permittivity.

$\varphi =\frac{q_{net}}{{ϵ}_o}$

Answer-(B)