Two similar tiny balls of mass $m$, each carrying charge $q$ are hung from silk thread of length $l$ as shown in Fig. These are separated by a distance $x$ and angle $2 \theta \sim 10$. Then for equilibrium :-
$x = 2l$
$x = \frac{{l{q^2}}}{{4\pi {\varepsilon _0}mg}}$
$x = {\left( {\frac{{{q^2}mg}}{{4\pi {\varepsilon _0}}}} \right)^{\frac{1}{2}}}$
$x = {\left( {\frac{{{q^2}l}}{{2\pi {\varepsilon _0}mg}}} \right)^{\frac{1}{3}}}$
A square plate of side $'a'$ is placed in $xy$ plane having centre at origin if charge density of square plate is $\sigma = xy$ then. Total charge on the plate will be.
The force on a charge situated on the axis of a dipole is $F$. If the charge is shifted to double the distance, the new force will be
A parallel plate capacitor with air between the plates has a capacitance of $9\, pF$. The separation between its plates is $'d'$. The space between the plates is now filled with two dielectrics. One of the dielectrics has dielectric constant $K_1=3$ and thickness $\frac{d}{3}$ while the other one has dielectric constant $K_2 = 6$ and thickness $\frac{2d}{3}$. Capacitance of the capacitor is now....$pF$
Two conducting spheres of radii $r_1$ and $r_2$ have same electric fields near their surfaces. The ratio of their electric potentials is
A hollow cylinder has charge $q$ $C$ within it. If $\phi $ is the electric flux in unit of voltmeter associated with the curved surface $B$, the flux linked with the plane surface $A$ in unit of voltmeter will be