question_answer

An AC is given by\[i={{i}_{1}}\cos \omega t+{{i}_{2}}\sin \omega t\]The rms current is given by:

A)  \[\frac{{{i}_{1}}+{{i}_{2}}}{\sqrt{2}}\]    

B)         \[\frac{{{i}_{1}}-{{i}_{2}}}{\sqrt{2}}\]     

C)         \[\sqrt{\left( \frac{i_{1}^{2}+i_{2}^{2}}{2} \right)}\]       

D)         \[\sqrt{\left( \frac{i_{1}^{2}-i_{2}^{2}}{2} \right)}\]

E)  \[\frac{{{i}_{1}}{{i}_{2}}}{\sqrt{2}}\]