Take C₁ = 4.0 μF and C₂ = 6.0 μF in figure. Calculate the equivalent capacitance of the combination between the points indicated.

In the circuit shown in Fig. 2.7, initially K₁ is closed and K₂ is open. What are the charges on each capacitor. Then K₁ was opened and K₂ was closed

(order is important), What will be the charge on each capacitor now? [C = 1μF]

Convince yourself that parts a), b) and c) of figure are identical. Find the capacitance between the points A and B of the assembly.

Each capacitor in figure has a capacitance of 10 μF. The emf of the battery is 100V. Find the energy stored in each of the four capacitors.

Each capacitor shown in the figure has a capacitance of 5.0 μF. The emf of the battery is 50V. How much charge will flow through AB if the switch S is closed?

A cylindrical capacitor is constructed using two coaxial cylinders of the same length 10 cm and of radii 2 mm and 4 mm.

a) Calculate the capacitance.

b) Another capacitor of the same length is constructed with cylinders of radii 4 mm and 8 mm. Calculate the capacitance.

A capacitor is mad of a flat plate of area A and the second plate having a stair-like structure as shown in the figure. The width of each stair is a, and the height is b. Find the capacitance of the assembly.

Find the equivalent capacitances of the combinations shown in figure between the indicated points.

A capacitor of capacitance 2.0 μF is charged to a potential difference of 12V. It is then connected to an uncharged capacitor of capacitance 4.0 μF as shown in figure. Find

a) the charge on each of the two capacitors after the connection,

b) the electrostatic energy stored in each of the two capacitors and

c) the heat produced during the charge transfer from use capacitor to the other.

A finite ladder is constructed by connecting several sections of 2 μF, 4 μF capacitor combinations as shown in figure. It is terminated by a capacitor of capacitance C. What value should be chosen for C, such that the equivalent capacitance of the ladder between the points A and B becomes independent of the number of sections in between?