The household supply voltage as measured by an a.c. voltmeter is 200 meter is 220 volts. If the frequency of a.c. Supply is 50 Hz, then the equation of the line voltage, will be

Options

A. 1. `V=220 sin (100 pi t)`
B. 2.`V=110 sin (50 pi t)`
C. 3.`V=440 sin (100 pi t)`
D. `4.V=311 sin (100 pi t)`

Answer

D

Explanation

`omega = 2 pi f = 2 pi xx 50 = 10 pi`
and `V_(0) = sqrt(2) V_(rms) = 1.414 xx 220 = 311 V`
The equation is `V = V_(0)sin (omega t) = 311 sin (100 pi t)`.