Harmonics: Difference between revisions

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Related wiki pages: [[Antennas]], [[Propagation]], [[Interference]], [[Gain]], [[SWR]]
==What is a harmonic?==


==What is an harmonic?==
A harmonic of a particular frequency (the fundamental frequency '''f''') is a frequency that is an integer multiple of the first one.  For example:


An harmonic of a particular frequency (the fundamental frequency '''f''') is another frequency that is an integer multiple of the first one.  For example:
if f = 125 MHz, the harmonics would be:


if f = 125MHz, the harmonics would be: 2f = 250MHz, 3f = 375MHz, 4f = 500MHz ..... etc
1st harmonic = 1f = 125 MHz
 
2nd harmonic = 2f = 250 MHz
 
3rd harmonic = 3f = 375 MHz
 
4th harmonic = 4f = 500 MHz
 
..... etc.


In the diagram below it can be seen that harmonics share common nodes.
In the diagram below it can be seen that harmonics share common nodes.


(the diagram needs improvement by someone with a better drawing program and skills than I have - any takers?  Thanks  Tim R )
[[Image:Harmonics.png |450px]]
 
[[Image:Vk4yeh_harmonics.jpg |450px]]


Mathematically, the basic wave equation is:
Mathematically, the basic wave equation is:
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==External links==
==External links==
== See also ==
* [[Antennas]]
* [[Propagation]]
* [[Interference]]
* [[Gain]]
* [[SWR]]
* [[Frequency Wavelength and Period]]
{{electronics}}

Latest revision as of 10:24, 26 April 2015

What is a harmonic?

A harmonic of a particular frequency (the fundamental frequency f) is a frequency that is an integer multiple of the first one. For example:

if f = 125 MHz, the harmonics would be:

1st harmonic = 1f = 125 MHz

2nd harmonic = 2f = 250 MHz

3rd harmonic = 3f = 375 MHz

4th harmonic = 4f = 500 MHz

..... etc.

In the diagram below it can be seen that harmonics share common nodes.

Harmonics.png

Mathematically, the basic wave equation is:

<math> \mathit{v}=\mathit{f}\times \lambda </math>

v is the velocity of the wave in metres per second - a constant close to the speed of light for radio waves in the atmosphere.

f is the frequency of the wave - how many cycles pass a fixed point per second

<math> \lambda </math> is the wavelength of the wave in metres - the distance between two peaks of the wave.

So, as the frequency increases, the wavelength decreases - a doubling of frequency causes a halving of wavelength etc.

Where do harmonics come from?

Why are harmonics bad?

How do you get rid of harmonics?

External links

See also


Electronic Theory
Physical quantities Current * Gain * Impedance * Power * Q of a circuit * Radiated Power Measurement * Reactance* Resistivity * Resonance * Voltage
Components Baluns * Bipolar-Junction Transistors * Capacitors * Diodes * Inductors* Lasers * Microphones * Resistors * Transformers * Wire
Circuits Attenuators * Digital Signal Processing (DSP) * Dummy load * Filters * LC filters * Power Supply Design * Rectifier Circuits
Design Amplifier Design * Oscillator Design
Electromagnetic Waves Relative power (Decibels) * Harmonics * Interference and BPL