Show by means of neat labelled Waveforms of the odd harmonics and even harmonics.
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Step-by-step solution
8 stepsHere are the waveforms for odd and even harmonics:
Odd Harmonics
The fundamental frequency is represented by a sine wave.
The third harmonic is a sine wave with three times the fundamental frequency and a smaller amplitude.
The fifth harmonic is a sine wave with five times the fundamental frequency and an even smaller amplitude.
When odd harmonics are added to the fundamental, they create a waveform with sharper peaks and a flatter bottom.
[Imagine a sine wave. Then imagine adding a narrower, taller sine wave on top of its peaks and a narrower, inverted sine wave on the bottom. The result is a wave that looks more "peaky" and "flat-bottomed" than a pure sine wave.]
Even Harmonics
The fundamental frequency is represented by a sine wave.
The second harmonic is a sine wave with twice the fundamental frequency and a smaller amplitude.
The fourth harmonic is a sine wave with four times the fundamental frequency and an even smaller amplitude.
When even harmonics are added to the fundamental, they create a waveform that is more symmetrical about the horizontal axis and has a more rounded shape compared to the odd harmonic distortion.
[Imagine a sine wave. Then imagine adding a narrower sine wave on top of its peaks and a narrower inverted sine wave on the bottom, but with the same phase relationship as the fundamental. The result is a wave that is still generally sinusoidal but might appear slightly "fatter" or more rounded than a pure sine wave.]
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