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MHT CET 2026 (19 May, Shift 1) · AC Basics: Peak, RMS & Average Values

AC Basics: Peak, RMS & Average Values question from MHT CET 2026 (19 May, Shift 1)

Q1MHT CET 2026 · 19 MAY · SHIFT 1Easy

AC Basics: Peak, RMS & Average Values

An alternating voltage is given by V=V0sin⁡(ωt+π4)V = V_0 \sin\left(\omega t + \frac{\pi}{4}\right). The time when the voltage is maximum for the first time is

(TT = periodic time of the alternating voltage, cos⁡0∘=sin⁡90∘=1\cos 0^\circ = \sin 90^\circ = 1)

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Answer: (c)

  1. VV is maximum when the phase equals π2\frac{\pi}{2}: ωt+π4=π2\omega t + \frac{\pi}{4} = \frac{\pi}{2}.
  2. ωt=π4⇒2πTt=π4\omega t = \frac{\pi}{4} \Rightarrow \frac{2\pi}{T}t = \frac{\pi}{4}
  3. t=T8t = \frac{T}{8}
  4. So the answer is (c) T8\frac{T}{8}.
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