Two spherical conductors $A$ and $B$ of radii $1\, mm$ and $2\, mm$ are separated by a distance of $5\, cm$ and are uniformly charged. If the spheres are connected by a conducting wire then in equilibrium condition, the ratio of the magnitude of the electric fields at the surfaces of spheres $A$ and $B$ is-
$4 : 1$
$1 : 2$
$2 : 1$
$1 : 4$
A parallel plate capacitor of area $A$, plate separation $d$ and capacitance $C$ is filled with three different dielectric materials having dielectric constant $K_1,K_2$ and $K_3$ as shown. If a single dielectric material is to be used to have the same capacitance $C$ in this capacitor, then its dielectric constant $K$ is given by: ($A =$ Area of plates)
Three plates of common surface area $A$ are connected as shown. The effective capacitance will be
If there are $n$ capacitors in parallel connected to $V \,volt$ source, then the energy stored is equal to
A particle of mass $m$ and charge $q$ is placed at rest in a uniform electric field $E$ and then released. The $KE$ attained by the particle after moving a distance $y$ is
Seven capacitors, each of capacitance $2\,\mu F$ are to be connected to obtain a capacitance of $10/11\,\mu F$ .Which of the following combinations is possible ?