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Question: A produces a voltage that is given by \(V = 240\sin 120t\), where t is in seconds. The frequency and...

A produces a voltage that is given by V=240sin120tV = 240\sin 120t, where t is in seconds. The frequency and r.m.s. voltage are

A

60 Hz and 240 V

B

19 Hz and 120 V

C

19 Hz and 170 V

D

754 Hz and 70 V

Answer

19 Hz and 170 V

Explanation

Solution

ν=ω2π=120×72×22=196muHz\nu = \frac{\omega}{2\pi} = \frac{120 \times 7}{2 \times 22} = 19\mspace{6mu} Hz

Vr.m.s.=2402=12021706muVV_{r.m.s.} = \frac{240}{\sqrt{2}} = 120\sqrt{2} \approx 170\mspace{6mu} V