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Combination of Capacitors

Electrostatic Potential and Capacitance
Physics
Class 12

Overview

Derive 1 / C = 1 / C1 + 1 / C2 + upto 1 / Cn for series connection of capacitors. Derive C = C1 + C2+ upto Cn for parallel connection of capacitors.

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Capacitors in Series

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Capacitors in Parallel

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The capacitance of the system of parallel plate capacitor shown in the figure is

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The equivalent capacitance of the network between points a and b is?

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If the area of each plate is (figure) and the successive separations are and , the equivalent capacitance across and is . Find :

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A parallel plate capacitor consist of two circular plates each of radius 2 cm, separated by a distance of 0.1 mm. If voltage across the plates is varying at the rate of  , then the value of displacement current is:

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A parallel plate capacitor is made by stacking n equally spaced plates connected alternatively. If the capacitance between any two adjacent plates is 'C' then the resultant capacitance is :

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For a given potential difference V how would you connect two capacitors, to obtain greater stored charge :

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Find the total capacitance for three capacitors of f,f and f in parallel with each other?

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A number of capacitors, each of equal capacitance C, are arranged as shown in Fig. The equivalent capacitance between A and B is?

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Three capacitors each of capacitance 9 pF are connected in series as shown in figure.
(a) What is the total capacitance of the combination?
(b) What is the potential difference across each capacitor, if the combination is connected to a 120 volt supply?

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Find the equivalent capacitances of the combinations shown in figure between the indicated points.

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