Question

find rms and average current of the following waveform
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Answer 1

Answer:

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Explanation:

The slope of the curve AB is BC/AC=20/T. Next consider the function y at time t It is seen that DE/AE=BC/AC=10/T

or (y−10)/t=10T or y=10+(10/T)t

This giveus the equation for the function of one cycle.

Yav=1T∫T0ydt=1T∫T0(10+10Tt)dt

1T∫T0[10.dt+10T.t.dt]=1T∣∣∣10t+5t2T∣∣∣T0=15

Mean square value

=1T∫T0y2dt=∫T0(10+10Tt)2dt

=1T∫T0(100+100T2t2+200T.t)dt

=1T∣∣∣100t+100t33T2+100t2T∣∣∣T0=7003

or rms value =107/3−−−−√=15.2