ntFind the capacitance if a spherical capacitor is given a charge Q and inner sphere is grounded?n

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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.

Q. A spherical capacitor consists of an inner sphere of radius

12 cm

and the outer sphere of radius

36 cm

. The capacitance is

C_{1}

when the inner sphere is charged and the outer sphere is earthed and

C_{2}

when the inner sphere is earthed and outer sphere is charged. The ratio

\frac{C_{1}}{C_{2}}

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.

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.

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)

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