Electro Magnetic Induction And Alternating Currents Question 171

Question: A small signal voltage $ V(t)=V_{0}\sin \omega t $ is applied across an ideal capacitor C:

Options:

A) Current I (t), lags voltage V (t) by $ 90{}^\circ $ .

B) Over a fall cycle the capacitor C does not consume any energy from the voltage source.

C) Current I (t) is in phase with voltage V (t).

D) Current I (t) leads voltage V (t) by $ 180{}^\circ $ .

Show Answer

Answer:

Correct Answer: B

Solution:

  • As we know, power

    $ P=V_{rms}.I_{rms}\cos \phi $

    as $ \cos \phi =0 $

    $ (\because \phi =90^{o}) $

    $ \therefore $ Power consumed =0 (in one complete cycle)



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