Electro Magnetic Induction And Alternating Currents Question 193
Question: An inductor $ 20\times {{10}^{-3}} $ Henry, a capacitor $ 100,\mu F $ and a resistor $ 50,\Omega $ are connected in series across a source of EMF V=10 sin 314t. If resistance is removed from the circuit and the value of inductance is doubled, then the variation of current with time in the new circuit is -
Options:
A) $ 0.52cos314t $
B) $ 0.52sin314t $
C) $ 0.52,\sin ,(314t+\pi /3) $
D) None of these
Show Answer
Answer:
Correct Answer: A
Solution:
-
$ x_{C}-x_{L}=31.85-2(6.28)=19.29 $
$ I_{m}=\frac{10}{19.29}=0.52 $
Hence $ I=0.52,\sin ,(314t+\pi /2)=0.52,\cos ,314,t $
