Combination of Capacitors

Three capacitors $2 \mathrm{\mu F}, 3 \mathrm{\mu F}$ and $6 \mathrm{\mu }\mathrm{F}$ are joined with each other. What is the minimum effective capacitance (in $\mathrm{\mu F}$)?

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

Three capacitors each of $4\mathrm{ }\mathrm{\mu }\mathrm{F}$ are to be connected in such a way that the effective capacitance is $6\mathrm{ }\mathrm{\mu }\mathrm{F}$ . This can be done by connecting them:

A parallel-plate capacitor consists of two identical metal plates. Two dielectric slabs having dielectric constants $K_1$ and $K_2$ are introduced in the space between two plates as shown below. Show that capacity of capacitor in the arrangement is given by $C=\frac{{\epsilon }_0\left(K_1+K_2\right)A}{2d}$

A network of four capacitors $5 \mathrm{\mu F}$ each are connected to a $240 \mathrm{V}$ supply. Determine the charge on each capacitor.

Derive an expression for effective capacitance of three capacitors connected in parallel.

What is the equivalent capacitance of two $2 \mathrm{\mu F}$ capacitors connected in series.

How will you obtain a capacitance of higher value if you have been provided with capacitors of relatively low capacitance? 

If $n$ capacitors of equal capacitance $C$ are connected in series what will be the equivalent capacitance.

What will be the maximum and minimum capacitance obtainable with three capacitors each of $6 \mathrm{\mu F}$ capacitance

For the circuit shown in the figure, the equivalent capacitance between $A$ and $B$ will be

For the circuit shown in figure, the potential difference across $4.5 \mathrm{\mu F}$ capacitor is

For the figure shown the equivalent capacitance between position A and B.

For the figure shown equivalent capacitance between points $A$ and $B$ is

Let equivalent capacitances for $n$ identical capacitors each of capacitance $C$ in series and parallel arrangements are $C_s$ and $C_p$. Prove that $C_p-C_s=\frac{\left(n^2-1\right)}{n}C$

Determine the equivalent capacitance of the systems shown in fig $\left(a\right)$ and $\left(b\right)$ between $A$ and $B$. Area of each plate is $A$ and the separation between adjacent plates is $d$.

Determine equivalent capacitance between points $A$ and $B$ for the figure shown

In fig shown each capacitor is of $1 \mathrm{\mu F}$ capacitance Find equivalent capacitance between points $A$and $\mathrm{B}$.

A spherical conductor of capacitance $2 \mathrm{\mu F}$ charged to $150 \mathrm{V}$ is connected to an $1 \mathrm{\mu F}$ uncharged and conducting sphere. Find common potential, charge on each capacitor after joining.

Two capacitors are of $2 \mathrm{\mu F}$ and $4 \mathrm{\mu F}$ capacitance respectively. Compare the ratio of equivalent capacitances of their series and parallel combinations