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
- A100 3 V at both points
- B25 V at both points
- C50 3 V at C and 25 3 V at D
- 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_