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an amplifier has a spectrally pure sine-wave input of 50 mv. It has a voltage gain of 60. a spectrum analyzer?
an amplifier has a spectrally pure sine-wave input of 50 mv. It has a voltage gain of 60. a spectrum analyzer shows harmonics of 0.035v, 0.027v, 0.019v, 0.011v, and 0.005 v calculate the total harmonic distortion (THD) and the relative harmonic distortion.
THD = (Sum of harmonic powers)/(Fundamental power). Spectrum, Analyzers usually read in units of power, but whatever. We are going to assume that the spectrum analyzer is matched to Zo and the amplifier's input and output impedance are both Zo.
The fundamental power is ((.05V*60)^2)/Zo. The harmonics have ((.035)^2)/Zo, ((.027)^2)/Zo, ((.019)^2)/Zo, ((.011)^2)/Zo, and ((.005)^2)/Zo. The total harmonic power is the sum of those 5, or .001236/Zo watts.
The fundamental power is 9/Zo, and the harmonics are .001236/Zo. THD is then 1.37333e-4, or .0137%
