Question

Calculate the
(a) average value
(b) root mean square value
(c) form factor and
(d) peak factor
For a periodic current wave having the following values for equal time intervals,
changing suddenly from one value to the next: 0, 40, 60, 80, 100, 80, 60, 40, 0, -40, -60, -80 A.

Answer 1

Average value = 5 A , RMS = 5.83 A, Form factor = 1.166, Peak factor = 1.715

Given:
0,40,60, 80, 100, 80, 60, 40, 0, -40, -60, -80 A.

To find:
(a) average value
(b) root mean square value
(c) form factor and
(d) peak factor

Solution:

Alternating Current (AC) is a particular model of a rhythmically alternating current. The current profit crosses nothing, varying middle from two points positive and negative principles. The break momentary 'tween the accomplishment of a definite advantage on two following eras is named the period, accordingly interspersing current is frequently refer to as the periodic current. The common waveform is a wave in shape of sine curve.

We will get average value by calculating average of the given arithmetics and we get it as 5 A.

To calculate RMS = $\sqrt{x^{2} +y^{2} } /2N$
hence we get RMS as 5.83

To calculate form factor,
Rms/Average = 1.66

To calculate peak factor ,
PF = Max value /RMS
= 1.715

Hence we get all the values as Average value = 5 A , RMS = 5.83 A, Form factor = 1.166, Peak factor = 1.715

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