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Electrostatic Potential and Capacitance · Class 12 · CBSE · Science Physics

Four capacitors of capacitances 2,mutext{F}, 4,mutext{F}, 6,mutext{F}, and 12,mutext{F} are connected in parallel. If the combination is connected ac…

Practice question from Electrostatic Potential and Capacitance (Class 12 · CBSE · Science Physics), with the correct answer and a step-by-step solution.

easy · MCQ · Q-8527FB

Four capacitors of capacitances 2 μF,4 μF,6 μF2\,\mu\text{F}, 4\,\mu\text{F}, 6\,\mu\text{F}, and 12 μF12\,\mu\text{F} are connected in parallel. If the combination is connected across a 100 V100\text{ V} supply, the total charge stored in the combination is:

  1. A.2400 μC2400\,\mu\text{C}Correct answer
  2. B.1200 μC1200\,\mu\text{C}
  3. C.600 μC600\,\mu\text{C}
  4. D.24 μC24\,\mu\text{C}

Solution

For capacitors in parallel, the equivalent capacitance is Ceq=C1+C2+C3+C4=2+4+6+12=24 μFC_{eq} = C_1 + C_2 + C_3 + C_4 = 2 + 4 + 6 + 12 = 24\,\mu\text{F}. The total charge Q=CeqV=24 μF×100 V=2400 μCQ = C_{eq} V = 24\,\mu\text{F} \times 100\text{ V} = 2400\,\mu\text{C}.

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