A 1 mg ball carrying a charge of `2xx10^-8` C hangs from a thread. When a large conducting plate of charge is brought near the ball, the thread makes an angle of `30^@` with the plate. What is the surface charge density of the plate?

If a small sphere of mass m and charge q hangs from a silk thread at angle theta with a charged coducting plate, show that the equilibrium of the sphere, the surface charge density for the plate is epsilon_0 = (mg)/q tan theta

A charged ball B hangs from a silk thread S, which makes an angle theta with a large charged conducting sheet P as shown in Fig. Show that the surface charge density of the sheet is proportional to tan theta .

A spherical conducting shell of inner radius r_1 and outer radius r_2 has a charge Q. A charge q is placed at the centre of the shell. What is the surface charge density on the inner and outer surfaces of the shell?

A spherical conducting shell of inner radius r_1 and outer radius r_2 has a charge Q as shown in the figure. A charge q is placed at the centre of the shell. What is the surface charge density of the inner and outer sufaces of the shell?

Two pith-balls each of mass 5xx10^-4 kg are suspended from the same point by silk threads 0.2 m long equal charges are given to the balls, which separate, until the threads enclose an angle of 30^@ , Calculate the charge on each pith-ball.

A free ptih-ball of 8 g carries a positive charge of 5xx 10^-8 C. What must be the nature and magntiude of charge that should be given to a second pith-ball fixed 5 cm vertically below the former pith-ball so that the upper pith-ball is stationary?

A large plane sheet of charge having surface charge density 5.0 xx 10^-16 C m^-2 lies in the XY-plane . Find the electric flux through a circular area of radius 0.1 m , if the normal to the circular area makes an angle of 60^@ with the Z-axis. Given that epsilon_0 = 8.85 xx 10^-12 C^2N^-m^-2

When a glass rod is rubbed with silk cloth, it acquires a charge + 1.6 xx 10^-13 C , what is the charge on silk cloth?

A charge of 2 C moves between two plates maintained at a potential difference of 1 volt. What is the energy acquired by the charge?