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In an LCR circuit as shown below both switches $S_{1}$ and $S_{2}$ 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 statements is correct?

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Work done by the battery is half of the energy dissipated in the resistor

At t=τ,q=CV/2

At t=2τ,q=CV1-e-2

At t=τ2,q=CV1-e-1

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detailed solution

Correct option is C

Charge on the capacitor at any time t is given by q=CV(1−et/τ) At t=2τ⇒q=CV(1−e−2)

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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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Ready to Test Your Skills?

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In an LCR circuit as shown below both switches $S_{1}$ and $S_{2}$ 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 statements is correct?