First slide

Alternating current and voltage

Question

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

Easy

A

60 Hz and 240 V
B

19 Hz and 120 V
C

19 Hz and 170 V
D

754 Hz and 70 V

Solution

$v = \frac{ω}{2 π} = \frac{120 \times 7}{2 \times 22} = 19 Hz$
$V_{r.m.s.} = \frac{240}{\sqrt{2}} = 120 \sqrt{2} \approx 170 V$

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