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Sinusoidal AC

The voltage o...

Question

The voltage of an ac source varies with time according to the equation $V = 100 s i n 100 π t c o s 100 π t$ where t is in seconds and V is in volts. Then

A

The peak voltage of the source is 100 volts

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B

The peak voltage of the source is 50 volts

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C

The peak voltage of the source is

\frac{100}{\sqrt{2}}

volts

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D

The frequency of the source is 50 Hz

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Solution

The correct option is B The peak voltage of the source is 50 volts
$V = 50 \times 2 s i n 100 π t c o s 100 π t = 50 s i n 200 π t \Rightarrow V_{0} = 50 V o l t s$

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