A generator produces a voltage that is given by V=240 sin 120t V, where t is in second. The frequency and r.m.s. voltage are

Question

A generator produces a voltage that is given by V=240 sin 120t V, where t is in second. The frequency and r.m.s. voltage are (A) 60Hz and 240V (B) 19Hz and 120V (C) 19Hz and 170V (D) 754Hz and 170V

Tardigrade Admin · Accepted Answer

V = Vm sin ωt compare to given equation, we get Vm =240 and ω=120 f=(ω/2π)=(120/6.28)=19Hz and voltage = (Vm/√2)=(240/√2)=170V

Q. A generator produces a voltage that is given by V=240 sin 120t V, where t is in second. The frequency and r.m.s. voltage are

60Hz and 240V

19Hz and 120V

19Hz and 170V

754Hz and 170V

V = V $_{m}$ sin $ω$ t compare to given equation, we get
$V_{m}$ =240 and $ω = 120$
$f = \frac{ω}{2 π} = \frac{120}{6.28} = 19 H_{z}$ and
voltage = $\frac{V _{m}}{2} = \frac{240}{2} = 170 V$

Q. A generator produces a voltage that is given by V=240 sin 120t V, where t is in second. The frequency and r.m.s. voltage are

60Hz and 240V

19Hz and 120V

19Hz and 170V

754Hz and 170V

V = Vm​ sin ωt compare to given equation, we get Vm​ =240 and ω=120 f=2πω​=6.28120​=19Hz​ and voltage = 2​Vm​​=2​240​=170V

V = V $_{m}$ sin $ω$ t compare to given equation, we get
$V_{m}$ =240 and $ω = 120$
$f = \frac{ω}{2 π} = \frac{120}{6.28} = 19 H_{z}$ and
voltage = $\frac{V _{m}}{2} = \frac{240}{2} = 170 V$