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ttokoro
21-Topaz I
21-Topaz I
May 6, 2025
Solved

RMS values of the functions.

  • May 6, 2025
  • 2 replies
  • 856 views

Electrical engneering uses RMS(Root Mean Square) values for the signal wave forms.

Using the magnitude of the waveforms to be 1, rectangilar , sine and triangle waveforms show the RMS values 1/sqrt(1), 1/sqrt(2) and s1/qrt(3), respectively.

So, find the 1/sqrt(4) and 1/sqrt(5) RMS waveforms with magnitudes = 1.

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Also find the average values of each wavefrom. 

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Advanced problem.
Make the f(x,n). It provides the above answers.

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Best answer by Werner_E

The RMS could easily be achieved using appropriate pulse-width modulation (f1).

For the averages you demand we would have to slightly modify pulse width and magnitude (f2) 😉

Werner_E_0-1746535762860.png

 

 

2 replies

Werner_E25-Diamond IAnswer
25-Diamond I
May 6, 2025

The RMS could easily be achieved using appropriate pulse-width modulation (f1).

For the averages you demand we would have to slightly modify pulse width and magnitude (f2) 😉

Werner_E_0-1746535762860.png

 

 

ttokoro
21-Topaz I
ttokoro21-Topaz IAuthor
21-Topaz I
May 8, 2025

Using unit step function to chop DC 1/n makes 1/sqrt(n) RMS waveform.

But we can make another waveforms such as,

image.png

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If some one find new function, please share here your waveform. Any average value is ok. Only RMS of 1/sqrt(n) is need. 

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image.pngUsing above function we can make this waveform.

  

t.t.