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BITSAT2017PhysicsCapacitanceActual

In the given circuit diagram, E = 5 V , r = 1 Ω , R 2 = 4 Ω , R 1 = R 3 = 1 Ω and C = 3 μ F Then, what will be the numerical value of charge on each plates of the capacitor.

Options

  1. A24   μC
  2. B12   μC
  3. C6   μC
  4. D3   μC

Correct answer

C. 6   μC

Step-by-step solution

Current will flow only through the branch containing resistance R 2 ∴   i = E R 2 + r = 5 4 + 1 = 1   A Potential difference across R 2 = 1 × 4 = 4   V If q be the charge on each plate of capacitor, then q c + q c = 4 or 2 q c = 4 or 2 q 3 × 10 - 6 = 4 q = 6   μC

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