The outer sphere of a spherical air capacitor is earthed. For increasing its capacitance
Capacity of a spherical capacitor is C1 when inner sphere is charged and outer sphere is earthed and C2 when inner sphere is earthed and outer sphere is charged. Thenis (a = radius of inner sphere, b = radius of 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 µC. 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 latter is much smaller.