An alternating current is represented by the equation, $\mathrm{i}=100 \sqrt{2} \sin (100 \pi \mathrm{t})$ ampere. The RMS value of current and the frequency of the given alternating current are
An alternating current is represented by the equation, $\mathrm{i}=100 \sqrt{2} \sin (100 \pi \mathrm{t})$ ampere. The RMS value of current and the frequency of the given alternating current are
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- $100 \sqrt{2} \mathrm{~A}, 100 \mathrm{~Hz}$
- $\frac{100}{\sqrt{2}} \mathrm{~A}, 100 \mathrm{~Hz}$
- $100 \mathrm{~A}, 50 \mathrm{~Hz}$
- $50 \sqrt{2} \mathrm{~A}, 50 \mathrm{~Hz}$
The Correct Option is C
Solution and Explanation
2. Frequency of the current: \[ f = \frac{\omega}{2\pi} = \frac{100\pi}{2\pi} = 50 \mathrm{~Hz} \] Therefore, the correct answer is (3) $100 \mathrm{~A}, 50 \mathrm{~Hz}$.
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