Solution SG 43

2002 March 20
Isaac Abraham

What is the average and root mean square (rms) value of the following current waveform?

It is immaterial that the waveform is a current rather than a voltage. The waveform could be anything. The waveform is 0.5*(1-cos(2π 1 t)). Check that it is.

In[]:=

myPlot=Plot[0.5(1-Cos[2Pi1t]),{t,0,2},FrameTrue,FrameStyle16,GridLinesAutomatic]

Out[]=

The average value is easily read from the plot at 0.5 units. The rms value can be calculated from the definition.

In[]:=

rms=Sqrt[Mean[Table[(0.5(1-Cos[2Pi*1*t]))^2,{t,0,2,0.005}](*Mean*)](*Sqrt*)]

Out[]=

0.611608

Check that our answers are correct with some other method. I use Wolfram Alpha. Mean, rms.