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Q.

The voltage of an ac source varies with time according to the equation 

\[100\sin 100\pi t\cos 100\pi t\]

   where t  is in seconds and V is in volts. Then 

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a

The peak voltage of the source is 100 volts

b

The frequency of the source is 50 Hz

c

The peak voltage of the source is 50 volts

d

The peak voltage of the source is 100\[\sqrt 2 \] volts

answer is B.

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Detailed Solution

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V = 50 \times 2\,\sin \,100\pi t\,\cos \,100\pi t = 50\sin 200\pi t

\Rightarrow \,\,{V_0} = 50\,Volts\,\,and\,\,v = 100\,Hz

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