A spherical drop of capacitance $1\,\,\mu F$ is broken into eight drops of equal radius. Then, the capacitance of each small drop is ......$\mu F$
$0.12$
$8$
$0.5$
$0.25$
The potentials of the two plates of capacitor are $+10\,V$ and $-10\, V$. The charge on one of the plates is $40 \,C$. The capacitance of the capacitor is........$F$
A cylindrical capacitor has two co-axial cylinders of length $15\; cm$ and radii $1.5 \;cm$ and $1.4\; cm .$ The outer cylinder is earthed and the inner cylinder is given a charge of $3.5\; \mu \,C .$ Determine the capacitance of the system and the potential of the inner cylinder. Neglect end effects (i.e., bending of field lines at the ends).
We have three identical metallic spheres $A, B$ and $C$. $A$ is given a charge $Q$, and $B$ and $C$ are uncharged. The following processes of touching of two spheres are carried out in succession. Each process is carried out with sufficient time.
$(i)$ $A$ and $B$ $(ii)$ $B$ and $C$
$(iii)$ $C$ and $A$ $(iv)$ $A$ and $B$
$(v)$ $B$ and $C$
The final charges on the spheres are
The capacity of a spherical conductor in $ MKS$ system is
How will the voltage $(V)$ between the two plates of a parallel plate capacitor depend on the distance $(d)$ between the plates, if the charge on the capacitor remains the same?