Combination of Capacitors

A network of four capacitors each of $15 \mu F$capacitance is connected to a $500 V$ supply as shown in the figure. Determine $\left(a\right)$ equivalent capacitance of the network and $\left(b\right)$ charge on $C_{4 }$capacitor.

Two capacitors of capacitance $6 \mathrm{\mu F}$ and $12 \mathrm{\mu F}$ are connected in series with a battery. The voltage across the $6 \mathrm{\mu F}$ capacitor is $2 \mathrm{V}$. The total battery voltage is

In the given circuit if point $C$ is connected to the earth and a potential of $+2000 \mathrm{V}$ is given to the point $A$, the potential at $B$ is

A metal sheet is inserted between the two plates of a parallel plate capacitor of capacitance $C$ . The thickness of the metal sheet is $\frac{d}{2}$ where $d$ is the separation between the plates of the capacitor. What is the capacitance of the arrangement now?

Four plates of equal area$A$ are separated by equal distances $d$ and are arranged as shown in the figure. The equivalent capacity is

Three equal capacitors, each with capacitance $C$ are connected as shown in figure. Then the equivalent capacitance between point $A$ and $B$ is

The capacitance of an infinite circuit formed by the repetition of the same link consisting of two identical capacitors, each with capacitance $\mathrm{C}$ (figure), is :

A capacitor with capacitance $C_0$ consists of two concentric spherical conductors. If the radii of the inner and the outer spherical conductors are halved, what is the new capacitance?

The charge on $3 \mathrm{\mu }\mathrm{F}$ capacitor shown in the figure is

Four plates of equal area $A$ are separated by equal distance $d$ and are arranged as shown in the figure. The equivalent capacity is:

Capacitor $C_1$, $C_2$ and $C_3$ are connected in series. Their equivalent capacitance $C_{eq}$ is given as:

The equivalent capacitance between points $P$ and $Q$ in the following circuit is

Four capacitors of $25\mu F$ each are connected as shown in the figure below. If the D.C. voltmeter read $200 \mathrm{V}$. charge on each plate of the capacitor is ____.

Two parallel plate capacitors whose capacities are $C$ and $2 C$ respectively, are joined in parallel. these are charged by $V$ potential difference. if the battery is now removed and a dielectric of dielectric constant $K$ is filled in between the plates of the capacitor $C$, then what will be the potential difference across each capacitor:

A constant potential difference between $A$ and $B$ is applied. When the switch is shifted from position $P$ to position $Q$, then,

Three capacitors of $2.0,3.0$ and $6.0\mu \mathrm{F}$ are connected in series to a $10 \mathrm{V}$ source. The charge on the $3.0\mu \mathrm{F}$ capacitor is

Five capacitors are connected to each other as shown ahead. What is the potential drop and charge across $4\mu \mathrm{F}$ capacitor:-

Five identical capacitor plates are arranged such that they make four capacitors each of $2\mu F\mathit{.}$ The plates are connected to a source of voltage $10 V\mathit{.}$ The total charge on plate $C$ is:-

The effective capacitance between $A$ and $B$ in the figure shown is :- (all capacitances are in $\mu F$) :-

Five capacitors each of capacitance value $C$ are connected as shown in the figure. The ratio of capacitance between $P$ and $R$ and the capacitance between $P$ and $Q$ is:-