If the charge on the left plate of the $5\ \mu F$ capacitor in the circuit segment shown in the figure is $-20\ \mu C$,find the charge on the right plate of the $3\ \mu F$ capacitor in $\mu C$.

$A$ fully charged capacitor of capacity $C$ is discharged through a small resistance wire embedded in a solid block of specific heat $s$ and mass $m$ under thermally isolated conditions. If the temperature of the block is raised by $\Delta T$,the initial potential difference across the capacitor is

If the capacitance of each capacitor in the tetrahedron shown is $C$, then the effective capacitance of the network across any two junctions is ......$C$.

$A$ parallel plate capacitor of capacity $C_0$ is charged to a potential $V_0$. $(i)$ The energy stored in the capacitor when the battery is disconnected and the plate separation is doubled is $E_1$. (ii) The energy stored in the capacitor when the charging battery is kept connected and the separation between the capacitor plates is doubled is $E_2$. Then,the value of $E_1 / E_2$ is:

Four capacitors,each of capacity $3\,\mu F$,are connected as shown in the adjoining figure. The ratio of the equivalent capacitance between $A$ and $B$ to that between $A$ and $C$ will be:

$A$ soap bubble is given a negative charge,then its radius