Spherical Capacitors

For a spherical capacitor shown at which points the electric field will be zero ? ( r is the distance of point from centre O )

A spherical capacitor consists of two concentric spherical shells of outer radius r1 and inner radius r2, held in position by suitable insulating supports. calculate the capacitance of this spherical capacitor.

Assertion (A) A spherical equipotential surface is not possible for a point charge. Reason (R ) A spherical equipotential surface is possible inside a spherical capacitor.

A spherical capacitor consists of two concentric spherical conductors, held in position by suitable insulating supports. Show that the capacitance of this spherical capacitor is given by C = (4pi in_(0) r_(1) r_(2))/(r_(1) - r_(2)) , Where r_(1) and r_(2) are radial of outer and inner spheres respectively.

Find the capacitance of a spherical capacitor. Prove that for small distances between the spheres the capacitance may be calculated with the aid of the formula for a plane capacitor. Estimate the error made by doing this.

You have a parallel plate capacitor, a spherical capacitor and a cylindrical capacitor. Each capacitor is charged and then removed from the same battery. Consider the following situations : I:· Separation between the plates of parallel plate capacitor is reduced II: Radius of the outer spherical shell of the spherical capacitor is increased Ill: Radius of the outer cylinder of cylindrical capacitor is increased. Which of the following is correct?

The thickness of air layer between two coating of a spherical capacitor is 2cm. The capacitor has same capacitance as the sphere of 1.2m diameter. Find the radii of its surfaces.

Capacity of a spherical capacitor is C_(1) when inner sphere is charged and outer sphere is earthed and C_(2) when inner sphere is earthed and outer sphere charged. Then (C_(1))/(C_(2)) is (a = radius of inner sphere b = radius of outer sphere)

A spherical capacitor has the inner sphere of radius 2 cm and the outerone of 4 cm . If the inner sphere is earthed and the outer one is charged with a charge of 2muC and isolated. Calculate ltbr. (a) the potential to which the outer sphere is raised. (b) the charge retained on the outer surface of the outer sphere.

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