Show that the distribution of charge between two conductors connecting each other is proportional to its capacitance.

Show that if some quantity of charge be given to one of two spherical conductors connected to each other, the surface densities of charge on them are inversely proportional to their radii.

Two conductors of capacitance C_1" and "C_2 are connected by a conducting wire. Some amount of charge is given to the system. How is the ratio of charges acquired by the conductors related to their capacitances?

The charge of one of two small charged conductors is twice that of the other. The two conductors repel each other with a force of 50 dyn. If the distance between them is decreased by 3 cm, the force becomes 128 dyn. What are the magnitudes of the charges ? What was the initial distance ?

The potential of a conductor having 40 esu of capacitance is raised by 10 esu. What is the charge on the conductor ? How much charge is to be given to another conductor, having capacitance three times that of the first conductor, to raise its potential three times that of the first one?

Two capacitors of capacitances 0.5 mu F and 0.75 mu F are connected in parallel. A potential difference of 600 V is applied to this combination. What are the charges on the two capacitors? Now, the two capacitors are connected in series and the same potential difference is applied. Find out the charges on the capacitors in this case.

A combination is formed by connecting alternately n number of equidistant parallel plates. The capacitance between any two consecutive plates is C. What will be equivalent capacitance of the combination?

Can there be a potential difference between two close conductors of the same volume carrying equal positive charges?

Distance between the two plates of a parallel plate capacitor, each having area A, in vecuum is D. Calculate its capacitance.

The equivalent capacitance are C_s and C_p when two.capacitors are connected in series and parallel respectively. Find each of the capacitance of the two capacitors.