First slide

Alternating Current and voltage

Question

The voltage of an ac source varies with time according to the equation $V = 100 \sin 100 πtcos 100 πt$ 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

$V = 50 \times 2 \sin 100 πt \cos 100 πt = 50 \sin 200 πt$
$\Rightarrow V_{0} = 50 V o l t s$ and $ν = 100 Hz$

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