1.

Distinguish between the terms 'average value' and 'rms value of an alternating current. The instantaneous current from an a.c. source is I = 5 sin (314 t) ampere. What are the average and rms values of the current ?

Answer»

Solution :The average value of a GIVEN a.c. is the average value of the a.c. for one complete cycle of a.c. and its value is zero. On the other hand, the rms value of a given a.c. is the square root of the mean square current of the a.c. for one complete cycle of a.c. and its value is `= I_(rms) = 1/sqrt(2) I_(m)`.
When the INSTANTANEOUS value of a.c. is given by:
`I =5 sin (314 t)`, then `I_(m) = 5 A`
`THEREFORE (I_(m)) = 9`, and `I_(rms) = 5/sqrt(2) = 3.5 A`.


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