The thickness of earlier between the two coating of spherical conductor is 2 cm the capacitor has the same capacitance is a square of 1.2 metre diameter find the radii of the two sphere

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Q. If the difference between the radii of the two sphere of a spherical conductor is increased state whether the capacitance will increase or decrease.

Q. A spherical capacitor consists of two concentric spherical conductors, held in position by suitable insulating supports (Fig.). Show that the capacitance of a spherical capacitor is given by

c = \frac{4 π ϵ_{0} r_{1} r_{2}}{r_{1} - r_{2}}

where

r_{1}

and

r_{2}

are the radii of outer and inner spheres, respectively.

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Q. A spherical capacitor has an inner sphere of radius 12 cm and anouter sphere of radius 13 cm. The outer sphere is earthed and theinner sphere is given a charge of 2.5 μC. The space between theconcentric 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 anisolated sphere of radius 12 cm. Explain why the latter is muchsmaller.

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.

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