The instantaneous value of an alternating current is given by i = 50 sin (100π t). It will achieve a value of 25 A after a time interval of (sin 30° = 0.5) (a) 1/300 s (b) 1/100 s (c) 1/200 s (d) 1/600 s

Answer: (d). 25 = 50sin (100π t) ⇒ sin (100π t) = 1/2 100π t = π/6 ⇒ t = 1/600 s So the answer is (d) 1/600 s.

The instantaneous value of an alternating current is given by i = 50… | MHT CET 2021 (21 Sep, Shift 2)

Q33MHT CET 2021 · 21 SEP · SHIFT 2Medium

AC Basics: Peak, RMS & Average Values

The instantaneous value of an alternating current is given by $i = 50 \sin(100\pi t)$ . It will achieve a value of $25\text{ A}$ after a time interval of $(\sin 30^\circ = 0.5)$

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Answer: (d)

$25 = 50\sin(100\pi t) \Rightarrow \sin(100\pi t) = \frac{1}{2}$
$100\pi t = \frac{\pi}{6} \Rightarrow t = \frac{1}{600}$ s
So the answer is (d) $\frac{1}{600}$ s.

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