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The instantaneous voltage from an ac sou...

The instantaneous voltage from an ac source is given by `V=300sin314t.` Find its peak voltage and frequency of the sauce ?

Text Solution

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Given : The maximum value of voltage `V_(m)=300V`
Angle frequency of voltage `w=2pigamma=314`
RMS value of the source `V_(rms)=?`
`V=300sin314t.`
To find :
Peak voltage `V_(m)=300V,"frequency"gamma=?`
Solution :
`w=2pigammarArrgamma=(omega)/(pi)rArrgamma=(cancel314^(100))/(2xxcancel(3.14))`
`gamma=50Hz.`
RMS voltage, `V_(rms)=(V_(m))/(sqrt(2))`
= 0.707xx300=212.1V
`V_(rms)=212.1V.`
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