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}}} $
$ =28\times {{10}^{-4}}s $
Time taken by capacitor to charge fulley, $ t=\frac{T}{4}=7\times {{10}^{-4}}s. $