The instantaneous value of current in an a.c. circuit is I = 3 sin (50π t + π/4) A. The current will be maximum for the first time at (a) 1/50 s (b) 1/100 s (c) 1/200 s (d) 1/600 s

Answer: (c). Maximum when 50π t + π/4 = π/2. 50π t = π/4 ⇒ t = 1/200 s So the answer is (c) 1/200 s.

The instantaneous value of current in an a.c. circuit is I = 3 sin… | MHT CET 2025 (19 Apr, Shift 1)

Q9MHT CET 2025 · 19 APR · SHIFT 1Easy

AC Basics: Peak, RMS & Average Values

The instantaneous value of current in an a.c. circuit is $I = 3 \sin\left(50\pi t + \frac{\pi}{4}\right)\text{ A}$ . The current will be maximum for the first time at

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Answer: (c)

Maximum when $50\pi t + \frac{\pi}{4} = \frac{\pi}{2}$ .
$50\pi t = \frac{\pi}{4} \Rightarrow t = \frac{1}{200}$ s
So the answer is (c) $\frac{1}{200}$ s.

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AC Basics: Peak, RMS & Average Values question from MHT CET 2025 (19 Apr, Shift 1)

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