First slide

Alternating Current and voltage

Question

The voltage of an ac supply varies with time (t) as $V = 120 \sin 100 π tcos 100 π t .$ 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

$V = 120 \sin 100 πt \cos 100 πt \Rightarrow V = 60 \sin 200 πt$
$V_{\max} = 60 V$ and $ν = 100 Hz$

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