Alternating Current

JEE Main level, single correct, medium

7 of 190

Question 7 of 190

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

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Answer: (C) 100 A,50 Hz100 \mathrm{~A}, 50 \mathrm{~Hz}

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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