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Question: Answered & Verified by Expert
In an LCR circuit as shown below both switches are open initially. Now switch S 1 is closed, S 2 kept open. ( q is charge on the capacitor and τ = RC  is capacitive time constant). Which of the following statement is correct?
PhysicsCapacitanceJEE MainJEE Main 2013 (07 Apr)
Options:
  • A At t = 2 τ ,  q = CV  1 - e - 2
  • B At t = τ 2 ,  q = CV  1 - e -1
  • C Work done by the battery is half of the energy dissipated in the resistor
  • D At t = τ ,  q = CV / 2
Solution:
2140 Upvotes Verified Answer
The correct answer is: At t = 2 τ ,  q = CV  1 - e - 2
q = CV 1 - e t / τ
 
At t = 2 τ

q = CV 1 - e - 2

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