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Using an AC voltmeter, the potential dif...

Using an AC voltmeter, the potential difference in the electrical line in a house is read to be 234 volt. If the line frequency is known to be 50 cycle per sec, the equation for the line voltage is

A

`V = 165 sin (100 pi t)`

B

`V = 331 sin (100 pi t)`

C

`V = 220 sin (100 pi t)`

D

`V = 440 sin (100 pi t)`

Text Solution

Verified by Experts

The correct Answer is:
B

`V = V_(0)sin omega t`
Volatge in r.m.s value
`V_(0) = sqrt 2 xx 234 V = 331 volt` and `omega t = 2 pi n t = 2 pi xx 50 xx t = 100 pi t`
Thus, the equation of line voltage is given by `V = 331 sin (100 pi t)`
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