Electro Magnetic Induction And Alternating Currents Question 185

Question: In an L-C circuit , C=1F, L=4H at time t=0, charge in the capacitor is 4C and it is decreasing at a rate of $ \sqrt{5},C/s $ . Choose the correct statements.

Options:

A) maximum charge in the capacitor can be 6C

B) maximum charge in the capacitor can be 8C

C) charge in the capacitor will be maximum after time $ 2,{{\sin }^{-1}} $ (2/3) sec

D) None of these

Show Answer

Answer:

Correct Answer: A

Solution:

  • $ i=\sqrt{5}A $

    $ \frac{q^{2}m}{2C}=\frac{q^{2}}{2C}+\frac{1}{2}Li^{2},\Rightarrow {q_{\max }}=6C $



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