Question

An alternating current is given by $i=i_{1} \sin \omega t+i_{2} \cos \omega t$. The r.m.s current is given by

• A. $\sqrt{\frac{i_{1}^{2}+i_{2}^{2}}{2}}$
• B. $\sqrt{\frac{i_{1}^{2}+i_{2}^{2}}{\sqrt{2}}}$
• C. $\frac{i_{1}+i_{2}}{\sqrt{2}}$
• D. $\frac{ i _{1}- i _{2}}{\sqrt{2}}$

Answer 1

Answer: (A)

$i _{ rms }=\sqrt{\frac{ i _{1}^{2}+ i _{2}^{2}}{2}}$