Capacitors

JEE Main level, single correct, medium

179 of 180

Question 179 of 180

In an LCR\text{LCR} circuit as shown below both switches are open initially. Now switch S1{\text{S}}_{1} is closed, S2{\text{S}}_{2} kept open. (q\text{q} is charge on the capacitor and τ=RC\tau =\text{RC} is capacitive time constant). Which of the following statement is correct?

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Answer: (A) At t=2τ, q=CV(1−e−2)\text{t}=2\tau \text{, q}=\text{CV}\left(1-{\text{e}}^{-2}\right)

q=CV(1−et/τ)\text{q}=\text{CV}\left(1-{\text{e}}^{\text{t}/\tau }\right)

At t=2τ\text{t}=2\tau

q=CV(1−e−2)\text{q}=\text{CV}\left(1-{\text{e}}^{-2}\right)

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