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 $



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