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:
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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}. $
