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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 $\sqrt{4}$ coulomb $\sec^{- 1}$ . Then choose the correct statement.

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maximum charge on the capacitor can be 6C.

maximum charge on the capacitor can be 4C.

charge on the capacitor will be maximum after time 127π90sec

charge on the capacitor will be maximum after time 153π90sec

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detailed solution

Correct option is C

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.

Remember concepts with our Masterclasses.

Ready to Test Your Skills?

free study material

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 $\sqrt{4}$ coulomb $\sec^{- 1}$ . Then choose the correct statement.