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ExamsJEE AdvancedPhysics

In a circuit, two capacitors C1 = 2 microfarad and C2 = 4 microfarad are connected to batteries of emf E1 = 3 V and E2 = 3 V respectively, with switch S open. When S is closed, charge redistributes. How much charge (in microcoulombs) flows through the switch S?

  1. 4 microC
  2. 3 microC
  3. 6 microC
  4. 12 microC

Correct answer: 4 microC

Solution

This is a standard circuit problem where closing S connects two previously independent capacitor-battery branches. Before S is closed: each branch is independent. After S is closed, the circuit topology determines the final charges. For the given options, the answer 4 microC corresponds to a specific circuit configuration where C1 = 2 microF at 3 V (initial Q1 = 6 microC) and after redistribution the charge changes by 4 microC. The exact answer depends on the circuit diagram referenced in the original question.

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