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Capacitance

Electrostatic Potential and Capacitance
Physics
Class 12

Overview

Introduce capacitor. Give C = Q / V as capacitance. Realise that C is independent of Q and V but depends on geometry of two conductors. Give its SI unit. Give symbols of capacitor and variable capacitor. Realise the importance of large capacitance. Introduce dielectric inside a capacitor and realise the change in capacitance.

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Capacitor and Capacitance

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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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Calculate the charge on the capacitor in coulombs if a 20-F capacitor has a 30-V potential difference across it.

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Answer carefully.
What meaning would you give to the capacitance of a single Conductor?

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An electric lamp designed for operation on is connected to a supply, through a choke coil of inductance , for proper operation. The angular frequency of the is If a capacitor is to be used in the place of the choke coil, its capacitance must be

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In the following circuit the resultant capacitance between A and B is . Find the value of C :

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A capacitor of capacitance is charged to a potential of 100 Now connecting it in parallel with an uncharged capacitor, the resultant potential difference becomes 40 volt.The capacitance of this capacitor is

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A coaxial cable used in a transmission line has an inner radius of and an outer radius of . Calculate the capacitance per meter for the cable. Assume that the space between the conductors is filled with polystyrene.

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Charge of and are placed on two plates of a parallel plate capacitor if capacitance of capacitor is find potential difference between the plates:

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Calculate the capacitance.

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In the arrangement of capacitors shown in Figure, if each capacitor is pF, the effective capacitance between A and B is 

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