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Give definition and formula of root mean square plot graph of current versus omega t. |
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Answer» Solution :Root mean square of any physical quantity is called root mean square. In short rms or it is also called effective quatity. rms current is denoted by I or `I_(rms)` . The graphsof I versus of `omega t ` is given below.  The rms current is related to peak current `I_(m)` by`I = ( I_(m))/( sqrt(2)) = 0.707 I_(m)` `I_(rms) = sqrt( lt I^(2) GT )` `= sqrt((1)/(2) I_(m)^(2))` `= ( I_(m))/( sqrt(2)) = 0.707 I_(m)` Formula of rms for average POWER. `P = bar(p) = ( 1)/(2) I_(m)^(2) R = I_(rms) ^(2) R [ :. (1)/(2) I_(m)^(2) = I_(rms)^(2)]` and rms VALUE for voltage, `V = ( V_(m))/( sqrt(2)) = 0.707V_(m)` Now `V_(m) =I_(m)R ` or `(V_(m))/( sqrt(2)) = ( I_(m))/( sqrt(2)) R` or `V = IR `. These equations shows the relation between AC voltage and ac current. For DC voltage relation is given by `P = (V^(2))/( R ) = VI = I^(2) R ` |
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