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Capacitance of Conductor

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Important Questions

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 

where and are the radii of outer and inner spheres, respectively.

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A capacitor of capacitance withstand the maximum voltage while the capacitor of capacitance , the maximum voltage . What voltage in Kilo Volt will the system of these two capacitors withstand if they are connected in series?

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A parallel plate capacitor has capacitance. One of its two plates is given charge and the other plate, charge. The potential difference developed across the capacitor is :-

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Define capacitance of a capacitor and its SI unit.

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Derive an expression for the effective capacitance when capacitors are connected 

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In the given circuit, the charge on capacitor will be : 

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A metal plate is introduces between the plates of a charged parallel plate capacitor. What is its effect on the capacitance of the capacitor

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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 . 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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In a circuit shown in figure, the potential difference across the capacitor of is

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Name the particles which are responsible for the flow of current in a metal. 

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