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Question -

Three capacitors each of capacitance 9 pF are connectedin series.

(a) What is the total capacitance of the combination?

(b) What is the potential difference across eachcapacitor if the combination is connected to a 120 V supply?



Answer -

(a) Capacitance of each of the three capacitors, C =9 pF

Equivalent capacitance (C)of the combination of the capacitors is given by the relation,

1C’=1C+1C+1C1C’=19+19+19=13C’=3 pFTherefore,total capacitance of the combination is

3 pF.

(b) Supply voltage, V = 120 V

Potential difference (V‘) across each capacitoris equal to one-third of the supply voltage.

Therefore, the potential difference acrosseach capacitor is 40 V.

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