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Concepts Of Physics MCQ Edition [Volume 2]PhysicsCapacitors

Calculate the charge appearing on each of the three capacitors shown in the diagram.

Options

  1. A24 C on the 8 F capacitor and 48 C on each of the 4 F capacitors
  2. B48 C on the 8 F capacitor and 24 C on each of the 4 F capacitors
  3. C96 C on the 8 F capacitor and 48 C on each of the 4 F capacitors
  4. D48 C on the 8 F capacitor and 48 C on each of the 4 F capacitors

Correct answer

B. 48 C on the 8 F capacitor and 24 C on each of the 4 F capacitors

Step-by-step solution

From the given circuit diagram, capacitors B and C are in parallel. Equivalent capacitance of B and C is: C_ BC = 4 F + 4 F = 8 F Capacitor A is in series with this parallel combination. The equivalent capacitance of the entire circuit is: C_ eq = 8 8 8 + 8 = 4 F Total charge drawn from the battery is: Q = C_ eq V = 4 F 12 V = 48 C Since capacitor A is in the main branch, the charge on the 8 F capacitor is 48 C . This charge of 48 C distributes equally between the two identical 4 F capacitors in parallel. Charge on

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