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 $