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In the circuit shown below, the charge on the 60 μF capacitor is

Options

  1. A150 μC
  2. B100 μC
  3. C50 μC
  4. D75 μC

Correct answer

B. 100 μC

Step-by-step solution

The circuit shown in the figure is a balanced Wheatstone bridge, so the 80 μF doesn't have any effect on the circuit and it can be removed. After removing the 80 μF , we see that the 30 μF and 60 μF are in series. Similarly, the 15 μF and 30 μF are also in series. C 1 = 30 × 60 30 + 60 = 20 μF , C 2 = 15 × 30 15 + 30 = 10 μF Hence, the equivalent capacitance of the entire circuit is C = C 1 + C 2 = 30 μF C eq = C × 30 C + 30 = 15 μF The charge that flows through the battery = 10 × 15 = 150 μC This charge will be di

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