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Concepts Of Physics MCQ Edition [Volume 2]PhysicsCapacitors

Assuming the potential at point B is zero, determine the potentials at points C and D in the circuit shown in the figure.

Options

  1. A100 3 V at both points
  2. B25 V at both points
  3. C50 3 V at C and 25 3 V at D
  4. D50 3 V at both points

Correct answer

D. 50 3 V at both points

Step-by-step solution

Given the potential at point B is V_B = 0 V . The battery is connected across points A and B with its positive terminal (longer line) towards A and negative terminal (shorter line) towards B. Thus, the potential at point A is V_A = 50 V . In the upper branch, the 4 F and 8 F capacitors are connected in series across A and B. The potential difference across the 8 F capacitor is V_C - V_B . Using the voltage divider rule for capacitors in series ( V₁ = V C₂ C₁ + C₂ ), the voltage across the 8 F capacitor is: V_C - V_

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