Electro Magnetic Induction And Alternating Currents Question 164

Question: The voltage of an ac supply varies with time (t) I as $ V=120\sin 100\pi t\cos 100\pi t $ . The maximum voltage and frequency respectively are

Options:

A) 120 volts, 100 Hz

B) $ \frac{120}{\sqrt{2}}volts,100Hz $

C) 60 volts, 200 Hz

D) 60 volts, 100 Hz

Show Answer

Answer:

Correct Answer: D

Solution:

  • Given,

    $ V=120\sin (100\pi t)\cos (100\pi t) =60[2\sin (100\pi t).\cos (100\pi t)]=60\sin 200\pi t $

    Thus, $ V_{0}=60V $ , $ \omega =200\pi $

    or. $ f=\frac{200\pi }{2\pi }=100Hz $



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