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Three capacitors each of capacitance 9 pF are connected in series. a. What is the total capacitance of the combination? b. What is the potential difference across each capacitor if the combination is - Physics

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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

उत्तर

  1. Capacitance of each of the three capacitors, C = 9 pF
    Equivalent capacitance (C') of the combination of the capacitors is given by the relation,
    `1/"C'" = 1/"C" + 1/"C" + 1/"C"`
    `1/"C'" = 1/9 + 1/9 + 1/9`
    = `1/3`
    C' = 3 pF
    Therefore, the total capacitance of the combination is 3 pF.
  2. Supply voltage, V = 120 V
    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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पाठ 2: Electrostatic Potential and Capacitance - Exercise [पृष्ठ ८६]

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एनसीईआरटी Physics [English] Class 12
पाठ 2 Electrostatic Potential and Capacitance
Exercise | Q 2.6 | पृष्ठ ८६
एनसीईआरटी Physics [English] Class 12
पाठ 2 Electrostatic Potential and Capacitance
Exercise | Q 6 | पृष्ठ ८७

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