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

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.

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 $A$ & $B$?

In the given circuit diagram, find the equivalent capacitance across $AB$ (in $\mathrm{\mu F}$).

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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

The following figure shows a $9 \mathrm{V}$ battery and $3$ uncharged capacitors of capacitances $C_1=C_2=C_3=1\mu \mathrm{F}$. The switch is thrown to the right side until capacitor $C_1$ is fully charged, then the switch is thrown to the left. The final charge on capacitor $C_2$ is

A capacitor of capacitance $C_1=1 \mu \mathrm{F}$ is charged using a $9 \mathrm{V}$ battery. $C_1$ is then removed from the battery & connected to capacitors $C_2$ and $C_3$ of $2 \mu \mathrm{F}$ and $3 \mu \mathrm{F}$ respectively as shown in the figure. Find the charge on $C_3$ after equilibrium has reached is

The effective capacitance between $A$ and $B$ in the given figure is

Find the equivalent capacitance between the points A and B for the following circuit.

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 $\mathrm{\mu C}.$

Equivalent capacitance between $A$ and $B$ is $n{C}_0$. Find value of $n$.

Find the potential difference across $2\mu \mathrm{F}$ in steady state:

Find the charge on capacitor $C_3$?

Given that $C_1=C_2=C$ and $C_3=C_4=3C$