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. `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)`

Answer

2

Explanation

`E = E_(0) sin omega t`, voltage read is r.m.s value
`E_(0) = sqrt(2) xx 234 V = 331` volt
and `omega t = 2 pi nt = 2 pi xx 50 xx t = 100 pi t`
Thus, the eqn of line voltage is given by
`V = 331 sin (100 pi t)`