Pandu Ekoyudho

Physics

24 November 2014

What Is Harmonics?

• Component frequency in a wave, that is an integer multiple of

the fundamental frequency

• Equally spaced by the width of the fundamental frequency

• Found by repeatedly adding the f. frequency

• Harmonic and inharmonic partials

• Current and voltage harmonics ( electrical power system)

Type of Harmonic Motions

Patterns • Fundamental Frequency or First Harmonic Wave Pattern.

• Second Harmonic Wave Pattern.

• Third Harmonic Wave Pattern.

First Harmonic Wave Pattern

• The first pattern is the simplest wave pattern.

• It occurs at low frequencies f= 440Hz

Second Harmonic Wave Pattern

• f= 880Hz

Third Harmonic Motions

• f= 1320

Functions

How Does Frequency Related

to Harmonics?• The frequency associated with each harmonic is dependent upon the speed at

which waves move through the medium and the wavelength of the medium.

• The speed at which waves move through a medium is dependent upon the

properties of the medium (tension of the string, thickness of the string, material

composition of the string, etc.).

• The wavelength of the harmonic is dependent upon the length of the string and

the harmonic number (first, second, third, etc.).

• Variations in either the properties of the medium or the length of the medium will

result in variations in the frequency at which the string will vibrate.

Video!

• https://www.youtube.com/watch?v=FzeZbJceKZE

Citation

• https://www.youtube.com/watch?v=FzeZbJceKZE

• http://www.physicsclassroom.com/class/waves/Lesson-4/Harmonics-and-Patterns

• http://www.physicsclassroom.com/class/sound/Lesson-4/Fundamental-Frequency-

and-Harmonics

• http://en.wikipedia.org/wiki/Harmonic