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Calcualte rms value of current and volta...

Calcualte rms value of current and voltages for the giving cases
i) I = `4+3sinomegat`
ii) V = 5+2`cosomegat`
(iii) i=`2+3 sinomegat=2cosomegat`
iv) V`=cosomegat + 2cos2omegat`

Text Solution

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i) rms value of current
`I_(rms) = sqrt(I_(0)^(2) + I_(1)^(2)/2)= sqrt(46(2) + (3)^(2)/2)= 4.52`unit
ii) rms value of voltage
`V_(rms) = sqrt(V_(0)^(2) + (V_(1))^(2)/2) = 5.19` unit
iii) rms valueof current
`I_(rms) = sqrt(I_(0)^(2) + I_(1)^(2)/2 + I_(2)^(2)/2)= sqrt(2^(2) + 3^(2)/2+2^(2)/2) = 3.24` unit
(iv) rms value of voltage
`V_(rms) = sqrt(V_(1)^(2)/2 + V_(2)i^(2)/2+V_(3)^(2)/2) = sqrt(1^(2)/2 + 2^(2)/2+3^(2)/2) = 2.64` unit
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