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कर्नाटक बोर्ड पी.यू.सी.पीयूसी विज्ञान 2nd PUC Class 12

Three capacitors each of capacitance 9 pF are connected in series. (a) What is the total capacitance of the combination?

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प्रश्न

Three capacitors each of capacitance 9 pF are connected in series.

  1. What is the total capacitance of the combination?
  2. What is the potential difference across each capacitor if the combination is connected to a 120 V supply?
संख्यात्मक
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उत्तर

Capacitance of each of the three capacitors,

C1 = C2 = C3 = 9 pF

V = 120 volt

(a) Total capacitance of the combination,

For capacitors in series:

`1/C_(eq) = 1/C + 1/C + 1/C`

`1/C_(eq) = 1/9 + 1/9 + 1/9`

= `1/3`

Ceq = 3 pF

Hence, the total capacitance of the combination is 3 pF.

(b) Potential difference (V') across each capacitor is equal to one-third of the supply voltage.

∴ `V' = V/3` 

= `120/3`

= 40 V

Therefore, the potential difference across each capacitor is 40 V.

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अध्याय 2: Electrostatic Potential and Capacitance - EXERCISES [पृष्ठ ७९]

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एनसीईआरटी Physics Part I and II [English] Class 12
अध्याय 2 Electrostatic Potential and Capacitance
EXERCISES | Q 2.6 | पृष्ठ ७९
एनसीईआरटी Physics Part I and II [English] Class 12
अध्याय 2 Electrostatic Potential and Capacitance
Exercise | Q 2.6 | पृष्ठ ८६

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