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Series Combination of Capacitors

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Capacitors in Series

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Important Questions

Three capacitors connected in series have an effective capacitance of . If one of the capacitance is removed, the net capacitance of the capacitor increases to . The removed capacitor has a capacitance of

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Three capacitors of capacitances 2 pF, 3 pF and 4 pF are connected in parallel.
(a) What is the total capacitance of the combination?
(b) Determine the charge on each capacitor if the combination is connected to a 100 V supply.

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In a parallel plate capacitor with air between the plates, each plate has an area of and the distance between the plates is 3mm. Calculate the capacitance of the capacitor. If this capacitor is connected to a 100 V supply, what is the charge on each plate of the capacitor?

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 A network of four capacitors is connected to a supply, as shown in fig. Determine (a) the equivalent capacitance of the network and (b) the charge on each capacitor.(Note, the charge on a capacitor is the charge on the place with higher potential, equal and opposite to the charge on the plate with lower potential). 

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A parallel plate air capacitor has a capacitance . When it is half filled with a dielectric of dielectric constant , the percentage increase in the capacitance will be

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Two capacitors of 2 and 4 are connected in parallel. A third capacitor of 6 is connected in series. The combination is connected across a 12 V battery. The voltage across 2 capacitor is:

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Derive an expression for effective capacitance of three capacitors connected in parallel.

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Three capacitors each of capacitance 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 supply?

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In the circuit shown in the figure, the potential difference across the capacitor is:

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Obtain the equivalent capacitance of the network shown in the figure. For a 300 V supply, determine the charge and voltage across each capacitor.

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