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Explain what would happen if the capacitor given in previous question a 3 mm thick mica sheet (of dielectric constant = 6) were inserted between the plates, a. While the voltage supply remained - Physics

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प्रश्न

Explain what would happen if the capacitor given in previous question a 3 mm thick mica sheet (of dielectric constant = 6) were inserted between the plates,

  1. While the voltage supply remained connected.
  2. After the supply was disconnected.
संख्यात्मक

उत्तर

  1. Dielectric constant of the mica sheet, k = 6
    Initial capacitance, C = 1.771 × 10−11 F
    New Capacitance, C' = kC
    = 6 × 1.771 × 10−11
    = 106 pF
    Supply voltage, V = 100 V
    New Capacitance, q' = C'V
    = 6 × 1.771 × 10−9
    = 1.06 × 10−8 C
    Potential across the plates remains 100 V.
  2. Dielectric constant, k = 6
    Initial capacitance, C = 1.771 × 10−11 F
    New Capacitance, C' = kC
    = 6 × 1.771 × 10−11
    = 106 pF
    If the supply voltage is removed, then there will be no effect on the amount of charge in the plates.
    Charge = 1.771 × 10−9 C
    Potential across the plates comes from,
    ∴ `"V'" = "q"/"C'"`
    = `(1.771 xx 10^-9)/(106 xx 10^-12)`
    = 16.7 V
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पाठ 2: Electrostatic Potential and Capacitance - Exercise [पृष्ठ ८७]

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एनसीईआरटी Physics [English] Class 12
पाठ 2 Electrostatic Potential and Capacitance
Exercise | Q 2.9 | पृष्ठ ८७

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