Electro Magnetic Induction And Alternating Currents Question 150
Question: If $ i=t^{2} $ $ 0<t<T $ then r.m.s. value of current is
Options:
A) $ \frac{T^{2}}{\sqrt{2}} $
B) $ \frac{T^{2}}{2} $
C) $ \frac{T^{2}}{\sqrt{5}} $
D) None of these
Show Answer
Answer:
Correct Answer: C
Solution:
$ i_{rms}=\sqrt{\frac{1}{T}\int_{0}^{T}{i^{2}dt}}=\frac{T^{2}}{\sqrt{5}} $
