First slide

A.C. Generator

Question

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

Moderate

A

120 volts, 100 Hz
B

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

60 volts, 200 Hz
D

60 volts, 100 Hz

Solution

$V = 120\,\,\sin 100\pi t\,\,\cos \,100\,\pi t \Rightarrow \,V\, = 60\,\sin \,200\pi t$
${V_{\max }} = 60V\,\,\,and\,\,v = 100Hz$

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