The electric flux passing through the cube for the given arrangement of charges placed at the corners of the cube (as shown in the figure) is
$\phi = \frac{1}{{2{ \in _0}}}$
$\phi = \frac{{ - 1}}{{2{ \in _0}}}$
$\phi = \frac{{ - 1}}{{{ \in _0}}}$
$\phi = \frac{1}{{{ \in _0}}}$
Why do electric field lines not form closed loop ?
A disk of radius $a / 4$ having a uniformly distributed charge $6 \mathrm{C}$ is placed in the $x-y$ plane with its centre at $(-a / 2,0,0)$. A rod of length $a$ carrying a uniformly distributed charge $8 \mathrm{C}$ is placed on the $x$-axis from $x=a / 4$ to $x=5 a / 4$. Two point charges $-7 \mathrm{C}$ and $3 \mathrm{C}$ are placed at $(a / 4,-a / 4,0)$ and $(-3 a / 4,3 a / 4,0)$, respectively. Consider a cubical surface formed by six surfaces $x= \pm a / 2, y= \pm a / 2$, $z= \pm a / 2$. The electric flux through this cubical surface is
A point charge $q$ is placed at a distance $a/2$ directly above the centre of a square of side $a$. The electric flux through the square is
When the electric flux associated with closed surface becomes positive, zero or negative ?
Careful measurement of the electric field at the surface of a black box indicates that the net outward flux through the surface of the box is $8.0 \times 10^{3} \;Nm ^{2} / C .$
$(a)$ What is the net charge inside the box?
$(b)$ If the net outward flux through the surface of the box were zero, could you conclude that there were no charges inside the box? Why or Why not?