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AP EAMCET20227 Jul 2022Evening ShiftPhysicsCapacitanceActual

25 capacitors each of capacitance 1 F are connected in series to a battery of 100 ~V . The total charge stored on capacitors is

Options

  1. A2.0 10⁻⁵ C
  2. B2.5 10⁻³ C
  3. C4.0 10⁻⁶ C
  4. D1.5 10⁻⁶ C

Correct answer

C. 4.0 10⁻⁶ C

Step-by-step solution

The given situation is shown below. In series combination, equivalent capacity is given by aligned 1 C_ eq & = 1 C₁ + 1 C₂ + .+ 1 C₂₅ & = 1 1 10⁻⁶ + 1 1 10⁻⁶ + .+25 terms & = 25 1 10⁻⁶ ( C=1 10⁻⁶ ~F ) aligned or C_ eq = 1 25 10⁻⁶=4 10⁻⁸ ~F Now, given potential difference across this combination, V=100 ~V So, charge on combination aligned Q & =C_ eq V=4 10⁻⁸ 100 & =4 10⁻⁶ C aligned

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