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Q.

The equation of the alternating voltage applied to our houses is $e = (311 \sin 100 π t)$ volt. A hot wire instrument is used to measure the alternating voltage. The rms value of emf is

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a

219.9V

b

543.7V

c

432.7V

d

329.1V

answer is A.

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Detailed Solution

Given $ε_{0} = 311 V$

$ε_{r m s} = \frac{ε_{0}}{\sqrt{2}} = \frac{311}{\sqrt{2}} \times \frac{\sqrt{2}}{\sqrt{2}}$

$= \frac{311}{2} \times 1.414$

$= 155.5 \times 1.414$

$= 219.877$

$= 219.9 V$

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