Permanent magnet alternators with air cores produce near-sine waveforms, while those with iron cores exhibit third-order harmonic distortion. This distortion can be analyzed by integrating the voltage wave to determine the flux. A simple resistor-capacitor integrator can be constructed to observe the voltage across the capacitor, with adjustments made for attenuation. The discussion highlights that symmetrical distortions create odd harmonics, while asymmetrical distortions result in even harmonics, affecting sound quality in applications like guitar amplifiers. Understanding these principles is crucial for improving alternator design and performance.