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An alternating current is given by the equation \( i=i_{1} \)
\( \mathrm{P} \) \( \cos \omega \mathrm{t}+i_{2} \sin \omega \mathrm{t} \). The r.m.s. current is given by

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(1) \( \frac{1}{\sqrt{2}}\left(i_{1}+i_{2}\right) \)
(2) \( \frac{1}{\sqrt{2}}\left(i_{1}+i_{2}\right)^{2} \)
(3) \( \frac{1}{\sqrt{2}}\left(i_{1}^{2}+i_{2}^{2}\right)^{1 / 2} \)
(4) \( \frac{1}{2}\left(i_{1}^{2}+i_{2}^{2}\right)^{1 / 2} \)
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