The capacitors of capacity $C_1$ and $C_2$ are connected in parallel,then the equivalent capacitance is:

Seven capacitors,each of capacitance $2\,\mu F$,are to be connected to obtain a total equivalent capacitance of $10/11\,\mu F$. Which of the following combinations is possible?

$A$ number of capacitors,each of capacitance $1\,\mu F$ and each of which gets punctured if a potential difference exceeding $500\,V$ is applied,are provided. An arrangement suitable for giving a capacitance of $2\,\mu F$ across which $3000\,V$ may be applied requires at least:

Three long concentric conducting cylindrical shells have radii $R$,$2R$,and $2\sqrt{2}R$. The inner and outer shells are connected to each other. The capacitance across the middle and inner shells per unit length is:

Explain the necessity of the combination of capacitors and the ways of their connections.

Two parallel plate capacitors are connected in series. Each capacitor has a plate area $A$ and a separation $d$ between the plates. The dielectric constants of the media between their plates are $2$ and $4$. The separation between the plates of a single air capacitor of plate area $A$ which effectively replaces the combination is: