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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 found to be 234 V. If the line frequency is known to be 50 cycles per second, the equatioin for the line voltage is

A

(A) `V=165 sin (100 pi t)`

B

(B) `V=331 sin (100 pi t)`

C

(C) `V=220 sin (100 pi t)`

D

(D) `V=440 sin (100 pi t)`

Text Solution

Verified by Experts

The correct Answer is:
B
`E=(E_0) sin omega t `
Voltage read is rms value.
`:. (E_0)= sqrt(2) xx 234 V =331 V`
amd ` omega t = 2 pi f t = 2 pi zz 50 xx t = 100 pi t `
Thus, the equation of the line voltage is given by
`E=331 sin (100 pi t)`.
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