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Q.

In the following electrical network at t < 0 (figure), key is placed on (1) till the capacitor got fully charged. Key is placed on (2) at t = 0. Time when the energy in both thecapacitor and the inductor will be same for the first time is

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a

π4LC

b

3π4LC

c

π3LC

d

2π3LC

answer is A.

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Detailed Solution

When energy on both is same, means energy on capacitor is half of its maximum energyq22C=12Q22C⇒q=Q2⇒Qcos⁡ωt=Q2⇒cos⁡ωt=12⇒ωt=π4 ⇒t=π4ω=π4LC
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