Find the equivalent capacitance of the combination of capacitors between the points $A$ and $B$ as shown in the figure, Fig. 4.78 . Also calculate the charge that flows in the circuit when a $100 \mathrm{V}$ battery is connected between the points $A$ and $B$

 

Four capacitors are connected as shown in the Fig 4.79 calculate the equivalent capacitance between the points $X$ and $Y$

Find the equivalent capacitance of the network shown in Fig $4.80$.

The inner and outer radii of a spherical capacitor are $12 \mathrm{cm}$ and $13 \mathrm{cm}$ respectively. The outer sphere is earthed and the inner sphere is given a charge of $2.5\mu \mathrm{C}$. The space between the concentric spheres is filled with a liquid of dielectric constant $32 .$

$\left(a\right)$ Determine the capacitance of capacitor.

The inner and outer radii of a spherical capacitor are $12 \mathrm{cm}$ and $13 \mathrm{cm}$ respectively. The outer sphere is earthed and the  inner sphere is given a charge of $2.5\mu \mathrm{C}$. The space between the concentric spheres is filled with a liquid of dielectric constant $32$.

$\left(b\right)$ What is the potential of the inner sphere$?$