Topic: Network Theory
The rms value of current $i(t)=I_{1}\sin\omega t+I_{2}\sin\omega t$ is
- A. $(I_{1}^{2}+I_{2}^{2})^{1/2}$
- B. $(\frac{I_{1}^{2}}{2}+\frac{I_{2}^{2}}{2})^{1/2}$
- C. $(\frac{I_{1}^{2}}{2}+2I_{2}^{2})^{1/2}$
- D. $(I_{1}^{2}+4I_{2}^{2})^{1/2}$
Answer: B. $(\frac{I_{1}^{2}}{2}+\frac{I_{2}^{2}}{2})^{1/2}$
Explanation: Note: According to the official answer key, the answer is option (b). The original question likely contained a typographical error and meant to represent two orthogonal components (e.g., different frequencies or a sine and cosine), for which the RMS value is $\sqrt{\frac{I_{1}^{2}}{2} + \frac{I_{2}^{2}}{2}}$. The text is transcribed exactly as provided.