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Question

In an LCR circuit as shown below both switches are open initially. Now switch S1 is closed, S2 kept open. ( q is charge on the capacitor and τ=RC is capacitive time constant). Which of the following statement is correct?
31827.PNG
  1. At t=2τ, q=CV(1e2)
  2. At t=τ, q=CV/2
  3. At t=T2, q=CV(1e1)
  4. Work done by the battery is half of the energy dissipated in the resistor.

A
At t=τ, q=CV/2
B
At t=T2, q=CV(1e1)
C
Work done by the battery is half of the energy dissipated in the resistor.
D
At t=2τ, q=CV(1e2)
Solution
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Charge on the capacitor at any time ` t' is

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