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If I(1), I(2), I(3) and I(4) are the res...

If `I_(1), I_(2), I_(3)` and `I_(4)` are the respective r.m.s. values of the time varying currents as shown in the four cases I, II, III and IV. Then identify the correct relations.



A

`I_(1)=I_(2)=I_(3)=I_(4)`

B

`I_(3) gt I_(1)=I_(2) gtI_(4)`

C

`I_(3) gt I_(4)gt I_(2)=I_(1)`

D

`I_(3)gt I_(2)gt I_(1)gt I_(4)`

Text Solution

Verified by Experts

The correct Answer is:
B
`I_(rms)=sqrt(1/Tint_(0)^(T)I^(2)dt)`

`int I_(2)dt` = area of `I^(2)-t` curve on time axis will be maximum for `III` than for and `I` and `II` and least `IV`. `I_(3) gt I_(1)=I_(2) gt I_(4)`
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