If an alternating voltage is represented as (E=141 (628 t ) ), th… - Vidyadip

MCQ

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

A
$141 V , 628 Hz$
B
$100 V , 50 Hz$
✓
$100 V , 100 Hz$
D
$141 V , 100 Hz$

✓

Answer

Correct option: C.

$100 V , 100 Hz$

$ E=141 \sin (628 t), $
$ E_{r m s}=\frac{E_0}{\sqrt{2}}=\frac{141}{1.41}=100 \mathrm{~V} \text { and } 2 \pi f=628 $
$ \Rightarrow f=100 \mathrm{~Hz}$

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