In an LCR circuit as shown below both switches S1 and S2 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 statements is correct?
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a
Work done by the battery is half of the energy dissipated in the resistor
b
At t=τ,q=CV/2
c
At t=2τ,q=CV1-e-2
d
At t=τ2,q=CV1-e-1
answer is C.
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Detailed Solution
Charge on the capacitor at any time t is given by q=CV(1−et/τ) At t=2τ⇒q=CV(1−e−2)