Electro Magnetic Induction And Alternating Currents Question 136

Question: The voltage of an ac source varies with time according to the equation $ V=100\sin \ 100\pi t\cos 100\pi t $ where $ t $ is in seconds and V is in volts. Then [MP PMT 1996; 2000]

Options:

A) The peak voltage of the source is 100 volts

B) The peak voltage of the source is 50 volts

C) The peak voltage of the source is $ 100/\sqrt{2} $ volts

D) The frequency of the source is 50 Hz

Show Answer

Answer:

Correct Answer: B

Solution:

$ V=50\times 2,\sin ,100\pi t,\cos ,100\pi t=50\sin 200\pi t $
$ \Rightarrow V_{0}=50,Volts $ and $ \nu =100Hz $



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