Electro Magnetic Induction And Alternating Currents Question 142

Question: In a certain circuit current changes with time according to i=2t. r.m.s. value of current between t=2 to t=4s will be

Options:

A) 3A

B) 33A

C) 23A

D) (2−2)A

Show Answer

Answer:

Correct Answer: C

Solution:

i2―=∫i2dt∫dt=∫24(4t)dt∫24dt=4∫24t dt2

=2t2224=t224=12

⇒irms=i2―=12=23 A

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