How Do You Calculate the Average Value of a Square Waveform?

AI Thread Summary
To calculate the average value of a square waveform, the formula involves the area divided by the period T0. The specific calculation presented is 1/T0 multiplied by the area, which is derived from the difference between the two values provided (beta and alpha). It is emphasized that clarity in mathematical expressions is crucial, especially when using brackets. The average area calculation requires summing the individual rectangular areas of the waveform. Understanding these components is essential for accurately determining the average value.
Sueyeeyab
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Homework Statement




Alpha=0.91 ,beta=2.92, T0=0.91

Homework Equations



The value of a0 for the square waveform

The Attempt at a Solution



1/T0 * area = 1/0.91*(2.92-0.91)*0.91
 

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T0 has nothing to do with it.
(I assume a0 is the first coefficient of the cosine Fourier series.)
 
Sueyeeyab said:

Homework Statement




Alpha=0.91 ,beta=2.92, T0=0.91

Homework Equations



The value of a0 for the square waveform

The Attempt at a Solution



1/T0 * area = 1/0.91*(2.92-0.91)*0.91

Hi Sueyeeyab! http://img96.imageshack.us/img96/5725/red5e5etimes5e5e45e5e25.gif

Expressions with brackets must be written unambiguously, viz.,

(1/T0) * area = (1/0.91)*(2.92-0.91)*0.91[/size]

To determine the average area, you must first sum the individual areas (or use a method which is equivalent). There are two rectangular areas to sum.
 
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