Electro Magnetic Induction And Alternating Currents Question 213

Question: Three oscillating LC circuit with identical inductors and capacitors. If $ t_{1} $ , $ t_{2} $ , $ t_{3} $ are the time taken by the circuits I, II, III for fully discharge, then

Options:

A) $ t_{1}>t_{2}>t_{3} $

B) $ t_{1}<t_{2}<t_{3} $

C) $ t_{2}<t_{1}<t_{3} $

D) $ t_{3}=\sqrt{t_{1}t_{2}} $

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Answer:

Correct Answer: C

Solution:

  • Time period, $ T_{1}=2\pi \sqrt{LC},T_{2}=2\pi \sqrt{\frac{LC}{2}} $

    $ T_{3}=2\pi \sqrt{2LC} $ Clearly $ t_{2}<t_{1}<t_{3}. $



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