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Concepts Of Physics MCQ Edition [Volume 2]PhysicsElectric Current in Conductors

Determine the charges on the four capacitors having capacitances 1 F , 2 F , 3 F , and 4 F as shown in the figure.

Options

  1. A2 C , 8 C , 9 C , and 12 C
  2. B6 C , 12 C , 18 C , and 24 C
  3. C3 C , 6 C , 9 C , and 12 C
  4. D1 C , 4 C , 4.5 C , and 6 C

Correct answer

A. 2 C , 8 C , 9 C , and 12 C

Step-by-step solution

In steady state, capacitors act as open circuits, so no direct current flows through the branches containing only capacitors. Let the potential of the negative terminal of the 6 V battery be 0 V and the positive terminal be 6 V . The left vertical wire is at 6 V and the right vertical wire is at 0 V . For the branch with 1 and 2 resistors, they are in series. The current through this branch is: I₁ = 6 1 + 2 = 2 A The potential at the node between the 1 and 2 resistors is: V₁ = 6 - (2 1) = 4 V This node is connected

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