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COMEDK2024Evening ShiftPhysicsCapacitanceActual

The figure shows a network of five capacitors connected to a 20 V battery. Calculate the charge acquired by each 10 F capacitor.

Options

  1. A4 10⁻⁴ C
  2. B6 10⁻⁴ C
  3. C2 10⁻⁴ C
  4. D1 10⁻⁴ C

Correct answer

D. 1 10⁻⁴ C

Step-by-step solution

Left parallel pair: C_ LT = 15 + 5 = 20 F Right parallel pair: C_ TR = 10 + 10 = 20 F C_ LT and C_ TR are in series across 20 V. Since both are equal, voltage divides equally: V_ TR = 20 2 = 10 V across each 10 F capacitor. Q = CV = 10 10⁻⁶ 10 = 100 C = 1 10⁻⁴ C

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