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Current Electricity

Question
CBSEENPH12047796

A capacitor of capacitance 5µF is connected as shown in the figure. The internal resistance of the cell is 0.5 Ω . The amount of charge on the capacitor plates is  

             

  • 80 μC

  • 40 μC

  • 20 μC

  • 10 μC

Solution

D.

10 μC

In steady state, there will be no current in the capacitor branch

Net resistance of the circuit

    R = 1 + 1 + 0.5

    R = 2.5 Ω

Current drawn from the cell

    i = VR

      = 2.52.5

   i = 1 A

Potential drop across two parallel branches

   V = E - i r

      = 2.5 - 1 × 0.5

   V = 2.0 V

So charge on the capacitor plates

  q = CV

    = 5 ×  2 

  q = 10 μC 

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