what is the capacitor of an isolated sphere and explain

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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.

A point charge of magnitude 1µC is fixed at (0, 0, 0). An isolated uncharged spherical conductor is fixed with its centre at (4 cm, 0, 0). What is the potential and the induced electric field at the centre of the sphere? Please also explain why the electric field inside the sphere won't be 0.

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, whose capacity is equal to that of an isolated metallic sphere of radius

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will be

Q. The distance between the plates of a reactangular parallel plate capacitor (PPC) of plate area

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, whose capacitance is equal to that of an isolated metallic sphere of radius

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An isolated metal sphere of radius $r$ is given a charge $q$ . The potential energy of the sphere is :

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