Alternating Current: Practice Problem & Solution
3. In an A.C. circuit, $I_{rms}$ and $I_0$ are related as (1994)
Solution Explained:
To solve this problem, we apply the core principles of Alternating Current. Understanding the underlying formula is key to arriving at the correct answer below:
For an alternating current $I = I_0 \sin \omega t$, the rms current is defined as $I_{rms} = \sqrt{\frac{1}{T} \int_0^T I^2 dt}$. Evaluating this integral over one complete cycle gives $I_{rms} = \frac{I_0}{\sqrt{2}}$. Therefore, the relation between rms and peak current is $I_{rms} = I_0/\sqrt{2}$.
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