In an LC circuit shown in figure, C = 1F, L = 4H. At time t = 0, charge in the capacitor is 4C and it is decreasing at the rate of 5Cs−1. Choose the correct statement.
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a
Maximum charge in the capacitor can be 6 C
b
Maximum charge in the capacitor can be 8 C
c
Charge in the capacitor will be maximum after time 3 sin-1 (2/3) s
d
None of these
answer is A.
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Detailed Solution
Given : dqdt=i=5AAt some time t,⇒qm22C=q22C+12Li2 ⇒qm22=162+1245=18⇒qmax=6Cq=Qcos(ωt+δ) at t = 0, q = 4⇒ 4=6cosδ ⇒cosδ=23 ⇒δ=cos−123Charge on the capacitor is maximum at t = t1 for this ωt1+δ=π⇒ t1=1ω(π−δ)=LC(π−δ)=2π−cos−123
In an LC circuit shown in figure, C = 1F, L = 4H. At time t = 0, charge in the capacitor is 4C and it is decreasing at the rate of 5Cs−1. Choose the correct statement.