First slide

Alternating Current and voltage

Question

If an alternating voltage is represented as $E = 141 \sin (628 t),$ then the rms value of the voltage and the frequency are respectively

Moderate

A

$141 V, 628 Hz$
B

$100 V, 50 Hz$
C

$100 V, 100 Hz$
D

$141 V, 100 Hz$

Solution

$E = 141 \sin (628 t),$
$E_{rms} = \frac{E_{0}}{\sqrt{2}} = \frac{141}{1 .41} = 100 V$ and $2 πf = 628$
$\Rightarrow f = 100 Hz$

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