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The expression for the A.C. supply volta...

The expression for the A.C. supply voltage of 234V and frequency of 50Hz in our house is ....

A

V=165 sin `(100 pit)`

B

V=331 sin `(100pit)`

C

`V=334 sin (100 pit)`

D

`V=331 cos (100pit)`

Text Solution

Verified by Experts

The correct Answer is:
B

`V_"rms"` =234 V and f=50 Hz
`therefore V_m =sqrt2V_"rms"`
=1.414 x 234
=331 V
`therefore omega=2pif`
`=2pixx50`
`=100pi` rad/s .
`therefore` The equation for voltage supply
`V=V_m sin (omegat)`
`therefore V=331 sin (100pit)`
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