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

The equivalent capacitance between the points $x$ and $y$ in the circuit shown is

Determine the equivalent capacitance of the combination shown In the following figure:

The resultant capacitance between points A and B in the given circuit is

A container has a base of $50 \mathrm{cm}\times 5 \mathrm{cm}$ and height $50 \mathrm{cm}$, as shown in the figure. It has two parallel electrically conducting walls each of area $50 \mathrm{cm}\times 50 \mathrm{cm}$. The remaining walls of the container are thin and non-conducting. The container is being filled with a liquid of dielectric constant $3$ at a uniform rate of $250 {\mathrm{cm}}^3 {\mathrm{s}}^{-1}$. What is the value of the capacitance of the container after $10$ seconds?

[Given: Permittivity of free space ${\epsilon }_0=9\times {10}^{-12} {\mathrm{C}}^2 {\mathrm{N}}^{-1} {\mathrm{m}}^{-2}$, the effects of the non-conducting walls on the capacitance are negligible]

The equivalent capacitance of the system shown in the following circuit is:

In the given circuit.${\mathrm{C}}_1=2\mu \mathrm{F},{\mathrm{C}}_2=0.2\mu \mathrm{F},{\mathrm{C}}_3=2\mu \mathrm{F},{\mathrm{C}}_4=4\mu \mathrm{F},{\mathrm{C}}_5=$
$2\mu \mathrm{F},{\mathrm{C}}_6=2\mu \mathrm{F}$. The charge stored on capacitor ${\mathrm{C}}_4$ is  ______   $\mu \mathrm{C}$.

The equivalent capacitance of the combination shown is

If total charge stored in capacitors is equal to $100 \mathrm{\mu C}$, then find the value of $x$?

Find the equivalent capacitance across points $A$ and $B$ in the given electrical circuit.

In the circuit shown in the figure, the charge stored in the capacitor of capacitance $30 \mathrm{\mu F}$ is

Five conducting parallel plates having area$A$ and separation between them $d$, are placed as shown in the figure. Plate number $2$ and $4$ are connected wire and between point $v$ and $B$, a cell of emf $E$ is connected. The charge flown through the cell is :-

Two capacitors are connected in series as shown in figure. The equivalent capacitance between A and B is $C_1$. If a dielectric slab of dielectric constant $2$ is introduced completely in capacitor $C$, the equivalent capacitance between A and B now becomes $C_2$.

Find $\frac{C_1}{C_2}$.

In the following circuit, $C_1=12 \mathrm{\mu F}, C_2=C_3=4 \mathrm{\mu F}$ and $C_4=C_5=2 \mathrm{\mu F}$. The charge stored in $C_3$ is _____.

What is the equivalent capacitance between points $A$ & $B$?

A potential difference of $400 \mathrm{V}$ is connected across a series combination of two capacitors of capacities $3 \mathrm{\mu F}$ and $6 \mathrm{\mu F}$. Calculate its equivalent capacity and charge on each capacitor.

Find the effective capacity between $A$ and $D$ in the following circuit (in $\mathrm{\mu F}$)

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In the arrangement the value of each capacitor is $X \mathrm{\mu F}$. Then the equivalent capacitance between point $a$ and $c$ is (in $\mathrm{\mu F}$)

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The equivalent capacitance between points $A$ and $B$ is