Electromagnetic Induction and Alternating Current 4 Question 14

####14. If the total charge stored in the LC circuit is Q0, then for t0,

(2006,6M)

(a) the charge on the capacitor is Q=Q0cosπ2+tLC

(b) the charge on the capacitor is Q=Q0cosπ2tLC

(c) the charge on the capacitor is Q=LCd2Qdt2

(d) the charge on the capacitor is Q=1LCd2Qdt2

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Answer:

Correct Answer: 14. (c)

Solution:

  1. Comparing the LC oscillations with normal SHM, we get

d2Qdt2=ω2Q Here, ω2=1LCQ=LCd2Qdt2



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