Question

The volume charge density as a function of distance $x$ from one face inside a unit cube is varying as shown in the figure. The total flux (in $SI$ units) through the cube is

Answer 1

Answer: 0.75

$\varphi =\frac{Q_{\text{in }}}{{\epsilon }_0}=\int \frac{\rho dV}{{\epsilon }_0}$
$=\frac{\text{ Area under }\rho v/sx\text{ graph }}{{\epsilon }_0}=\frac{3}{4}$