Electro Magnetic Induction And Alternating Currents Question 193

Question: An inductor 20×10−3 Henry, a capacitor 100,μF and a resistor 50,Ω 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+π/3)

D) None of these

Show Answer

Answer:

Correct Answer: A

Solution:

  • xC−xL=31.85−2(6.28)=19.29

    Im=1019.29=0.52

    Hence I=0.52,sin,(314t+π/2)=0.52,cos,314,t

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