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What is the root mean square value of cu...

What is the root mean square value of current of effective current of an a.c. having a peak value of 5.0 amp? What will be the reading shown for this current by (i) an a.c. ammeter (ii) an ordinary moving coil ammeter ?

Text Solution

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Here, `I_(v) = ? I_(0) = 5.0 A`
As `I_(v) = (I_(0))/(sqrt 2)`
`:. I_(v) = (5)/(sqrt2) xx (sqrt 2)/(sqrt 2) = (5 xx 1.414)/(2) = 3.54 A`
(i) An a.c. ammeter will read 3.54 ampere
(ii) An ordinary moving coil ammter will read zero becauseit records average value of current over a complete cycle, which is zero in case of alternating current.
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