Using an ac voltmeter, the potential difference in the electrical line in a house is read to be 234 V. If the line freqency is known to be 50 cycles per second, the equation for the line voltage is

Options

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)`

Answer

B

Explanation

`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)`.