A generator produces a voltage that is given by V=240 sin 120 t volt, where t is in seconds. The frequency and textrms voltage are

Question

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

Tardigrade Admin · Accepted Answer

Voltage equation is V=240 sin 120 t Comparing with V=V0 sin ω t, we get ω =120 and V0 =240 V ∴ 2 π n =120 or n=(120 × 7/2 × 22)=19 Hz and V rms =(V0/√2)=(√2 V0/2) =(√2 × 240/2)=120 √2 ≈ 170 V

Q. A generator produces a voltage that is given by $V = 240 sin 120 t$ volt, where t is in seconds. The frequency and $rms$ voltage are

60 Hz and 240 V

19 Hz and 120 V

19 Hz and 170 V

754 Hz and 170 V

Voltage equation is
$V = 240 sin 120 t$
Comparing with $V = V_{0} sin ω t$ , we get
$ω = 120$
and $V_{0} = 240 V$
$∴ 2 πn = 120$
or $n = \frac{120 \times 7}{2 \times 22} = 19 Hz$
and $V_{r m s} = \frac{V _{0}}{2} = \frac{2 V _{0}}{2}$
$= \frac{2 \times 240}{2} = 1202$
$\approx 170 V$

Q. A generator produces a voltage that is given by V=240sin120t volt, where t is in seconds. The frequency and rms voltage are