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Q.

In an LC circuit shown in figure, C = 2 F and L = 2H. At time t = 0, charge on the capacitor is 3 coulomb and it is decreasing with rate of 4 coulomb sec−1. Then choose the correct statement.

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a

maximum charge on the capacitor can be 6C.

b

maximum charge on the capacitor can be 4C.

c

charge on the capacitor will be maximum after time 127π90sec

d

charge on the capacitor will be maximum after time 153π90sec

answer is C.

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Detailed Solution

i=4ampq22C−q22C+12LC2qm2=9+4(4)2qm=5Cq=Qcos⁡(ωt+δ) at t=03=5cos⁡δ⇒δ=53∘Let at t = t1, charge on capacitor is maximumωt1+δ=πt1=π−δω=(LC)(π−δ)=2180−53∘π180=127π90sec

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In an LC circuit shown in figure, C = 2 F and L = 2H. At time t = 0, charge on the capacitor is 3 coulomb and it is decreasing with rate of 4 coulomb sec−1. Then choose the correct statement.