The figure shows two parallel equipotential surfaces $A$ and $B$ kept a small distance $r$ apart from each other. $A$ point charge of $q$ coulomb is taken from the surface $A$ to $B$. The amount of net work done will be
$ - \frac{1}{{4\pi {\varepsilon _0}}}\frac{q}{r}$
$ \frac{1}{{4\pi {\varepsilon _0}}}\frac{q}{r^2}$
$- \frac{1}{{4\pi {\varepsilon _0}}}\frac{q}{r^2}$
Zero
Condenser Ahas a capacity of $15\ \mu F$ when it is filled with a medium of dielectric constant $15$. Another condenser $B$ has a capacity $1\ \mu F$ with air between the plates. Both are charged separately by a battery of $100\,V$ . After charging, both are connected in parallel without the battery and the dielectric material being removed. The common potential now is.......$V$
The resultant capacitance between $A$ and $B$ in the fig. is.....$\mu F$
An electric dipole of dipole moment $\vec P$ is lying along a uniform electric field $\vec E$ . The work done in rotating the dipole by $90^o$ is
Electric potential at an equatorial point of a small dipole with dipole moment $P$ ( $r$ , distance from the dipole) is
The electrostatic potential inside a charged spherical ball is given by $\phi = ar^2 + b$ where $r$ is the distance from the centre $a,\,b$ are constants. Then the charge density inside the ball is