Electro Magnetic Induction And Alternating Currents Question 211

Question: In an oscillating LC circuit with L = 50 mH and $ C=4.0\mu F $ , the current is initially a maximum. How long will it take before the capacitor is fully discharged for the first time:

Options:

A) $ 7\times {{10}^{-4}}s $

B) $ 14\times {{10}^{-4}}s $

C) $ 28\times {{10}^{-4}}s $

D) none of these

Show Answer

Answer:

Correct Answer: A

Solution:

  • Time period, $ T=2\pi \sqrt{LC}=2\pi \sqrt{(50\times {{10}^{-3}})\times 4\times {{10}^{-6}}} $

$ =2.8\times {{10}^{-3}}s $

Time taken by capacitor to charge fully, $ t=\frac{T}{4}=7\times {{10}^{-4}}s. $



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