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JEE Main 20254 AprilMorning Shift
Exam
JEE Main
Year
2025
Date
4 April
Shift
Morning Shift
Subject
Physics
Chapter
Alternating Current

JEE Main 2025 · 4 April · Morning Shift · Physics · Alternating Current

An alternating current is represented by the equation, i=100 2 (100...

An alternating current is represented by the equation, i=1002sin⁡(100πt)i=100 \sqrt{2} \sin (100 \pi t) ampere. The RMS value of current and the frequency of the given alternating current are

Options

  1. A1002 A,100 Hz100 \sqrt{2} \mathrm{~A}, 100 \mathrm{~Hz}
  2. B1002 A,100 Hz\frac{100}{\sqrt{2}} \mathrm{~A}, 100 \mathrm{~Hz}
  3. C100 A,50 Hz100 \mathrm{~A}, 50 \mathrm{~Hz}
  4. D502 A,50 Hz50 \sqrt{2} \mathrm{~A}, 50 \mathrm{~Hz}

Correct answer

C. 100 A,50 Hz100 \mathrm{~A}, 50 \mathrm{~Hz}

Step-by-step solution

ir=i02=100 Af=w2π=100π2π=50 Hz\begin{aligned} & \mathrm{i}_{\mathrm{r}}=\frac{\mathrm{i}_0}{\sqrt{2}}=100 \mathrm{~A} \\ & \mathrm{f}=\frac{\mathrm{w}}{2 \pi}=\frac{100 \pi}{2 \pi}=50 \mathrm{~Hz}\end{aligned}
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