A point charge $q$ is situated at a distance $d$ from one end of a thin non - conducting rod of length $L$ having a charge $Q$ (uniformly distributed along its length) as shown in fig.Then the magnitude of electric force between them is
$\frac{1}{{4\pi \,{ \in _0}}}\frac{{qQ}}{{2d\left( {d + L} \right)}}$
$\frac{1}{{4\pi \,{ \in _0}}}\frac{{2qQ}}{{d\left( {d + L} \right)}}$
$\frac{1}{{4\pi \,{ \in _0}}}\frac{{qQ}}{{3d\left( {d + L} \right)}}$
$\frac{1}{{4\pi \,{ \in _0}}}\frac{{qQ}}{{d\left( {d + L} \right)}}$
A sphere of radius $R$ and charge $Q$ is placed inside an imaginary sphere of radius $2R$ whose centre coincides with the given sphere. The flux related to imaginary sphere is
Force between $A$ and $B$ is $F$. If $75\%$ charge of $A$ is transferred to $B$ then force between $A$ and $B$ is
If $\vec E = \frac{{{E_0}x}}{a}\hat i\,\left( {x - mt} \right)$ then flux through the shaded area of a cube is
Four dipoles having charge $ \pm e$ are placed inside a sphere. The total flux of ${\vec E}$ coming out of the sphere is
A given charge is situated at a certain distance from an electric dipole in the axial position experiences a force $F$ . If the distance of the charge is doubled, the force acting on the charge will be