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Derive an expansion for the average value of a sinusoidal varying current in terms of peak value.
written 9.5 years ago by gravatar for teamques10 teamques10 ★ 70k modified 4.0 years ago by gravatar for krithikkm200 krithikkm200 • 10

Mumbai University > FE > Sem 1 > Basic Electrical and Electronics Engineering

Marks: 3 M

Year: Dec 2013
basic electrical engineering
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written 9.5 years ago by gravatar for teamques10 teamques10 ★ 70k

The average value of an alternating quantity is defined as the arithmetic mean of all the values over one complete cycle.

Consider a symmetrical sinusoidal waveform in this case average value is over a complete cycle is 0. Hence, the average value is obtained over a half cycle.

$Iang = i1 + i2 + i3 + …….. im/ m$

∴ the average value of I (t) over specified internal t1 to t2 is expressed

$Iang = 1/ t2- t1 t2ʃ t1 i(t)$ at
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