Question

An $AC$ is given by equation $I=I_{1} \cos \omega t+I_{2} \sin \omega t$. The r.m.s value of current is given by

• A. $\frac{I_{1}+I_{2}}{2}$
• B. $\frac{\left(I_{1}+I_{2}\right)^{2}}{\sqrt{2}}$
• C. $\frac{1}{\sqrt{2}} \sqrt{I_{1}^{2}+I_{2}^{2}}$
• D. $\frac{I_{1}^{2}+I_{2}^{2}}{2}$

Answer 1

Answer: (C)

$I _{rms }=\frac{ I _{0}}{\sqrt{2}}$
Here $I _{0}=\sqrt{ I _{1}^{2}+ I _{2}^{2}}$