SATHEE: Electro Magnetic Induction And Alternating Currents Question 150

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:

$i_{r m s} = \sqrt{\frac{1}{T} \int_{0}^{T} i^{2} d t} = \frac{T^{2}}{\sqrt{5}}$

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