Suppose the space between the two inner shells of the previous problem is filled with a dielectric constant .`K.`Find the capacitance of the system between `A and B.`

Two parallel plate capacitors, each of capacitance 40 muF , are connected is series. The space between the plates of one capacitor is filled with a dielectric material of dielectric constant K =4. Find the equivalent capacitacne of the system.

A parallel plate capacitor has plate area A and plate separation d. The space between the plates is filled up to a thickness x (ltd) with a dielectric constant K. Calculate the capacitance of the system.

A spherical capacitor has an inner sphere of radius 12cm and an outer sphere of radius 13cm. The outer sphre is earthed the inner sphere is given a charge of 2.5muC . The space between the concentric spheres is filled with a liquid of dielectric constant 32. a. Determine hte capacitance of the capacitor. b. What is the potential of hte inner sphere? c. Compare the capacitance of this capacitor with that of an isolated sphere of radius 12cm. Explain why the latter is much smaller.

Find the capacitance of the combination shown in figure between A and B .

Figure shows two identical parallel plate capacitors connected to a switch S. Initially ,the switch is closed so that the capacitors are completely charged .The switch is now opened and the free space between the plates of the capacitors is filled with a dielectric of dielectric constant 3. Find the ratio of the initial total energy stored in the capacitors to the final total energy stored.

Find the equivalent capacitance of the system shown in figure between the points a and b .

Suppose the tube in the previous problem is kep vertical with A upward but the other conditions remain the same. The separation between the cross sections at A and B is 15/16 cm. Repeat parts a., b, and c of the previous problem. take g=10ms^-2 .

A sphercial capacitor is made of two conducting spherical shells of radii a and b.The space between the shells is filled with a dielectric constant K up to a radius c as shown in figure. Calculate the capacitance .