A capacitor is connected to a 20 V battery through a resistance of $10\,\,\Omega .$ It is found that the potential difference across the capacitor rises to 2 V in ${\rm{1}}\,\,{\rm{\mu s}}{\rm{.}}$ The capacitance of the capacitor in…... ${\rm{\mu }}\,{\rm{F}}{\rm{.}}$ [Given, ${\rm{l}}n\left( {\frac{{10}}{9}} \right) = 0.105]$

Three capacitors 2, 3 and $6\mu F$ are joined with each other. What is the minimum effective capacitance

Four capacitor of equal capacitance have an equivalent capacitance ${C_1}$ when connected in series and an equivalent capacitance ${C_2}$ when connected in parallel. The ratio ${C_1}/{C_2}$ is

Two capacitors of capacitance $C_1$ and $C_2$ are connected in series. A third capacitor $C_3$ is connected in parallel with the combination of $C_1$ and $C_2$. What is the equivalent capacitance of the entire arrangement?

Six capacitors, each of capacity $2\,\,\mu F$ are connected in parallel with a source of potential difference 10 V. The total energy in the system is

Two capacitors of capacitance $ext{C}$ are connected in series. If one of them is filled with dielectric substance $ext{k},$ what is the effective capacitance?

Two capacitors of $2\mu F$ and $4\mu F$ are connected in series. What is the equivalent capacitance?

When capacitors are connected in parallel, the equivalent capacitance is ______ the largest individual capacitance.

The potential differences that must be applied across the parallel and series combination of 3 identical capacitors are such that the energy stored in them becomes the same. The ratio of potential difference in parallel to series combination is

A parallel plate capacitor with air as dielectric is charged to potential $V$ using a battery. Removing the battery, the charged capacitor is then connected across an identical uncharged parallel plate capacitor filled with wax of dielectric constant $'K'$. The common potential of both the capacitor is

A series combination of three capacitors of capacities $1\mu {\rm{ }}F,2\mu {\rm{ }}F$ and $8\mu {\rm{ }}F$ is connected to a battery of e.m.f. 13 $volt.$ The potential difference across the plates of $2\mu {\rm{ }}F$ capacitor will be