feat: conclusion, first pass
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Lab1.tex
23
Lab1.tex
@ -253,6 +253,9 @@ the three different signal types; in all three cases, we first used
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the oscilloscope to read the period and magnitude of the signal, and
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then used the DMM to measure the signal's RMS voltage.
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Note: our use of the oscilloscope for magnitude measurements will
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later be identified as a key source of error.
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\subsection{Experiment ~\ref{type:ac} (sinusoidal AC)}
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Given a read period of $T$ seconds, we calculate the frequency as
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@ -465,7 +468,27 @@ As for the second question:
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the DMM is showing the true RMS regardless of the waveform.
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\end{quote}
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We have arrived independently at RMS voltage values multiple ways, and
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have discovered that no waveform yields a particularly higher error
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for RMS voltage than any other; in fact, more specifically, the
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highest error values are associated only with our analytical
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derivation, which relies on an oscilloscope-derived magnitude reading.
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I'll review the oscilloscope-derived magnitude problem in a moment,
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but I wanted to finish my point abaout the suitability of the DMM to
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produce RMS voltage measurements: the lack of particularly high error
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values when comparing experimental (DMM) RMS values for any of our
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various waveforms indicates that the DMM's suitability does not,
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within reason, depend on the waveform it's measuring.
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As for our error: our largest cases of error are when comparing our
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experimental and numerical results to our analytical results for 2V
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square-wave AC. Despite setting the function generator to 2V, our
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oscilloscope nevertheless read a peak-to-peak magnitude of 4.22 and
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4.26V (so, a peak-magnitude 2.11V of 2.13V, respectively). This likely
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has to do with how the oscilloscope regisers peak-to-peak voltages,
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relying on hazy extremes; but also, notably, because we had our
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oscilloscope in 10X mode, reducing its signal sensitivity / resolution.
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\nocite{*}
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\printbibliography
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