Electro Magnetic Induction And Alternating Currents Question 160

Question: A sinusoidal voltage V(t) = 100 sin (500t) is applied across a pure inductance of L=0.02H. The current through the coil is:

Options:

A) 10,cos,(500,t)

B) 10,cos,(500,t)

C) 10,sin,(500,t)

D) 10,sin,(500,t)

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Answer:

Correct Answer: B

Solution:

  • In a pure inductive circuit current always lags behind the emf by π2 .

    If v(t)=v0,sin,ωt then I=I0,sin,(ωtπ2)

    Now, given v(t) = 100 sin (500 t) and

    I0=E0ωL=100500×0.02

    [,L=0.02,H] I0=10,sin,(500tπ2)=10,cos,(500,t)



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