An ac source is of `(200)/(sqrt(2))V`, `50 Hz`. The value of voltage after `(1)/(600)s` from the start is

Options

A. `200 V`
B. `(200)/(sqrt(2))V`
C. `100 V`
D. `50 V`

Answer

C

Explanation

`V_("rms")=(200)/(sqrt(2))V`
`V_(0)=sqrt(2)xx(200)/(sqrt(2))=200 V`
`V=V_(0)sin 2pi upsilon t=200 sin (2pixx50xx(1)/(600))`
`=200 "sin"(pi)/(6)=200xx(1)/(2)=100 V`