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In a certain circuit current changes with time according to $i = 2 \sqrt{t} .$ r.m.s. value of current between $t = 2 s$ to $t = 4 s$ will be

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33A

23A

(2−2)A

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detailed solution

Correct option is C

i2¯=∫ i2dt∫ dt=∫24(4t)dt∫24dt=4∫24t dt2==2t2224=t224=12 ⇒irms=i2=12=23A

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

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In a certain circuit current changes with time according to $i = 2 \sqrt{t} .$ r.m.s. value of current between $t = 2 s$ to $t = 4 s$ will be