A parallel plate air capacitor has capacitance $C.$ What will be the capacitance of the capacitor if it is half-immersed in an oil of dielectric constant $1.6$ with the plates remaining perpendicular to the surface of the oil.

Two dielectric slabs of dielectric constants $K_1$ and $K_2$ are filled in between the two plates, each of area $A,$ of the parallel plate capacitor as shown in figure, Fig. 4.76 Find the net capacitance of the capacitor.

Find the equivalent capacitance between the points $A$ and $B$ of the given combination of capacitors, Fig. 4.77. If a battery

of $\mathrm{emf}10 \mathrm{V}$ is connected between the points $A$ and $B$, calculate the total charge in the circuit.

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 $4.80$.