(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Measurements taken of a square-wave signal using a frequency-selective voltmeter (called a spectrum analyzer) show its spectrum to contain adjacent components (spectral lines) at 98kHz and 126kHz of amplitudes 63mV and 49mV, respectively. For this signal, what would direct measurement of the fundamental show its frequency and amplitude to be? What is the rms value of the fundamental? What are the peak-to-peak amplitude and period of the originating square wave?

2. Relevant equations

none given, and only proportions used so far.

3. The attempt at a solution

I know that the fundamental frequency is the first harmonic, and that the relationship between two frequencies represent the ratio of harmonics. Using this knowledge, I created a proportion of 98kHz/126kHz and found that it equaled 7/9, so the 98kHz part was the 7th harmonic and that the 126 kHz was the 9th harmonic. Then I created a ratio of the frequency and the harmonic, finding that 14kHz was correct for both trials. However, I do not think that this is correct because it is such a small number compared to the other frequencies. I tried the same thing with the amplitudes, but they failed. I do not understand what the rms value of the fundamental means- is it the frequency? amplitude? How do you find the originating wave if you do know know what harmonic the original wave is?

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# Fundamental and harmonics of a square wave

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