A charge $q$ is placed at the centre of cubical box of side a with top open. The flux of the electricn field through one of the surface of the cubical box is
zero
$q/{\varepsilon _0}$
$q/{6\varepsilon _0}$
$5q/{6\varepsilon _0}$
In a hollow spherical shell, potential $(V)$ changes with respect to distance $(s)$ from centre as
Four dipoles having charge $ \pm e$ are placed inside a sphere. The total flux of ${\vec E}$ coming out of the sphere is
The work done required to put the four charges together at the corners of a square of side $a$ , as shown in the figure is
A parallel plate capacitor is charged to a potential difference of $100\ V$ and disconnected from the source of emf. A slab of dielectric is then inserted between the plates. Which of the following three quantities change?
$(i)$ The potential difference
$(ii)$ The capacitance
$(iii)$ The charge on the plates
A hollow metal sphere of radius $5\, cm$ is charged so that the potential on its surface is $10\, V$. The potential at the centre of the sphere is.....$V$