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⇒Qcosωt=Q2⇒cosωt=12⇒ωt=π4 ⇒t=π4ω=π4LC