Electro Magnetic Induction And Alternating Currents Question 94
Question: An alternating current is given by the equation $ i=i_{1}\cos \omega ,t+i_{2}\sin \omega ,t $ . The r.m.s. current is given by [MP PMT 1994]
Options:
A) $ \frac{1}{\sqrt{2}}(i_{1}+i_{2}) $
B) $ \frac{1}{\sqrt{2}}{{(i_{i}+i_{2})}^{2}} $
C) $ \frac{1}{\sqrt{2}}{{(i_{1}^{2}+i_{2}^{2})}^{1/2}} $
D) $ \frac{1}{2}{{(i_{1}^{2}+i_{2}^{2})}^{1/2}} $
Show Answer
Answer:
Correct Answer: C
Solution:
$ i_{rms}=\sqrt{\frac{i_{1}^{2}+i_{2}^{2}}{2}}=\frac{1}{\sqrt{2}}{{(i_{1}^{2}+i_{2}^{2})}^{1/2}} $
