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In a certain circuit current changes wit...

In a certain circuit current changes with time according to `i=2sqrt(t)` RMS value of current between t=2s to t=4s will be

A

3A

B

`3sqrt(3)`A

C

`2sqrt(3)`

D

`sqrt(3)`A

Text Solution

Verified by Experts

The correct Answer is:
C
`i_(rms)^(2) = (int i^(2)dt)/(int dt)`
`=(int_(2)^(4)dt)/(int_(2)^(4)dt) = (4int_(2)^(4)tdt)/(2)= 2[t^(2)/2]_(-2)^(4) = 12A^(2)`
`rArr i_(rms) = 2sqrt(3)A`
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