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If the voltage in an ac circuit is repar...

If the voltage in an ac circuit is reparesented by the equation `V=220 sqrt(2) sin (314 t - phi)`, calculate
rms value of the voltage

A

220 V

B

314 V

C

`220 sqrt(2) V`

D

`200//sqrt(2) V`

Text Solution

Verified by Experts

The correct Answer is:
A

The peak value , `(V_0)=220 sqrt(2) = 311 V`
`V_(rms)=(V_0)/(sqrt(2)) = (220 sqrt(2))/(sqrt(2))= 200 V` .
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Knowledge Check

  • If the voltage in an ac circuit is reparesented by the equation V=220 sqrt(2) sin (314 t - phi) , calculate frequency of ac

    A
    `50 Hz`
    B
    `50 sqrt(2) Hz`
    C
    `50//sqrt(2) Hz`
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    A
    220 V
    B
    `622 // (pi V)`
    C
    `220//sqrt(2) V`
    D
    `200 sqrt(2) V`
  • If E_(0) represents the peak value of the voltage in an ac circuit, the r.m.s. value of the voltage will be

    A
    `E_(0)/pi`
    B
    `E_(0)/2`
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