An alternating current is represented by the equation, i=100 2 (100 π t) ampere. The RMS value of current and the frequency of the given alternating current are ________.

(A) 100 \sqrt{2} \mathrm{~A}, 100 \mathrm{~Hz}

(B) \frac{100}{\sqrt{2}} \mathrm{~A}, 100 \mathrm{~Hz}

(D) 50 \sqrt{2} \mathrm{~A}, 50 \mathrm{~Hz}

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JEE Mains · Physics · STD 12 -Alternating current

JEE Mains 2025
Easy
MCQ

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

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Answer & Solution

Correct Answer

(C) \(100 \mathrm{~A}, 50 \mathrm{~Hz}\)

Step-by-step Solution

Detailed explanation

\(\begin{aligned} & \mathrm{i}_{\mathrm{r}}=\frac{\mathrm{i}_0}{\sqrt{2}}=100 \mathrm{~A} \\ & \mathrm{f}=\frac{\mathrm{w}}{2 \pi}=\frac{100 \pi}{2 \pi}=50 \mathrm{~Hz}\end{aligned}\)

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