First slide

A.C. Generator

Question

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

Moderate

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

Solution

$V = 50 \times 2\,\sin \,100\pi t\,\cos \,100\pi t = 50\sin 200\pi t$
$\Rightarrow \,\,{V_0} = 50\,Volts\,\,and\,\,v = 100\,Hz$

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