Relationship between harmonics and wave amplitude

Click For Summary
SUMMARY

The relationship between harmonics and wave amplitude in a resonant object is characterized by a decrease in amplitude as the frequency increases. In the discussion, a resonant object with a natural frequency of 50 Hz is connected to a signal generator, demonstrating that at the fundamental frequency, the amplitude is maximized. As the frequency is increased to the first harmonic at 100 Hz, the amplitude decreases, indicating a clear inverse relationship between frequency and amplitude in resonant systems. This behavior is contingent upon the specific characteristics of the system being analyzed.

PREREQUISITES
  • Understanding of resonant frequency and its significance in oscillatory systems
  • Familiarity with harmonic frequencies and their mathematical representation
  • Knowledge of amplitude and its measurement in wave phenomena
  • Basic principles of signal generation and analysis
NEXT STEPS
  • Explore the mathematical modeling of harmonic oscillators
  • Investigate the effects of damping on amplitude in resonant systems
  • Learn about Fourier analysis and its application in wave decomposition
  • Study the principles of resonance in different physical systems, such as strings and air columns
USEFUL FOR

Physicists, acoustics engineers, and students studying wave mechanics who are interested in the dynamics of resonant systems and their harmonic properties.

PH7SICS
Messages
22
Reaction score
0
What is the relationship between harmonics and wave amplitude in a resonant object?

Lets say we have an object which has a natural resonant frequency of 50hz. we connect that object to a signal generator set at 50hz and note the amplitude of the oscillations the object. Next we go up one harmonic to 100hz and again note the amplitude. If we were to continue going up the harmonic scale and plotted frequency against amplitude what would be the relationship? I know as you go up the scale the amplitude will go down but not sure by how much.
 
Physics news on Phys.org
Thinking about it I think that it depends upon your system and the response of your system to the input. Do you have a specific example in mind?
 

Similar threads

Undergrad Standing waves on a string experiment -- Relative amplitude of harmonics
  • · Replies 32 ·
2
Replies
32
Views
6K
Undergrad Relationship between frequency and power for sound?
  • · Replies 11 ·
Replies
11
Views
6K
Undergrad Question about driven harmonic oscillator
  • · Replies 17 ·
Replies
17
Views
3K
Undergrad Two-Mass Oscillator: Plotting Amplitudes Over Frequency in Hertz
  • · Replies 10 ·
Replies
10
Views
3K
Graduate Pair of interacting systems, driven coupled harmonic oscillators
  • · Replies 7 ·
Replies
7
Views
2K
Graduate Addition of Harmonics in a string wave
  • · Replies 4 ·
Replies
4
Views
2K
When Do Sand Particles Slip Off a Vibrating Plate?
  • · Replies 13 ·
Replies
13
Views
2K
Graduate Supressed harmonics with certain initial conditions
  • · Replies 1 ·
Replies
1
Views
2K
Graduate Harmonics and oscillating atoms
  • · Replies 4 ·
Replies
4
Views
9K
Undergrad Constructive interference of harmonic electromagnetic waves
  • · Replies 5 ·
Replies
5
Views
3K