Average Current and RMS Current: Practice Problem & Solution

Short Solution (Best for NEET):

To solve this problem, we apply the core principles of Average Current and RMS Current. Understanding the underlying formula is key to arriving at the correct answer below:

The RMS value is \(i = \frac{i_0}{\sqrt{2}}\). Thus, \(\frac{i_0}{\sqrt{2}} = i_0 sin \omega t ⇒ \omega t = \frac{\pi}{4} ⇒ t = \frac{\pi}{4\omega}\).