What Is the Amplitude of the Third Harmonic in a 200kHz Square Wave?

Click For Summary
SUMMARY

The amplitude of the third harmonic in a 200kHz square wave with a fundamental frequency amplitude of 15V is determined using Fourier transform principles. The correct approach involves calculating the Fourier series coefficients, which indicate that the amplitude of the third harmonic is 5V, not derived by simple subtraction. The discussion emphasizes the importance of understanding Fourier transforms for accurate harmonic analysis.

PREREQUISITES
  • Fourier Transform fundamentals
  • Understanding of harmonic analysis
  • Basic knowledge of square wave properties
  • Experience with amplitude calculations in signal processing
NEXT STEPS
  • Study Fourier series and their application in signal analysis
  • Learn how to perform Fourier transforms using tools like MATLAB or Python's NumPy library
  • Explore harmonic distortion and its effects on signal quality
  • Investigate the properties of square waves and their harmonics in electrical engineering
USEFUL FOR

Electrical engineers, signal processing specialists, and students studying waveform analysis will benefit from this discussion on harmonics and Fourier transforms.

bengaltiger14
Messages
135
Reaction score
0
Harmonics of a Square Wave...

Homework Statement



A 200kHz square wave with a fundamental frequency amplitude of 15V. Find amplitude of the third harmonic.

Homework Equations



This is what I do not know. I know this is a Fourier transform problem but just don't know what to do with it.


The Attempt at a Solution



I just took 15V and substracted (1/3) from it to get 14.6667 Volts.
 
Physics news on Phys.org
You need to do the transform, or at least look it up. The amplitude coefficients are expressed as a function of harmonic. Post the FT and we can help if still confused.
 

Similar threads

How is Wave Intensity Affected by Half Amplitude and Double Frequency?
  • · Replies 16 ·
Replies
16
Views
3K
what the relation between the amplitude magnitude and mass at resonance?
  • · Replies 5 ·
Replies
5
Views
1K
When Do Sand Particles Slip Off a Vibrating Plate?
  • · Replies 13 ·
Replies
13
Views
2K
Superposition of two one-dimensional harmonic waves
  • · Replies 10 ·
Replies
10
Views
2K
Uncertainties For Wave Packets
  • · Replies 4 ·
Replies
4
Views
1K
Wave Problem -- Total amplitude of fundamental and first three harmonics
  • · Replies 4 ·
Replies
4
Views
2K
How to calculate a harmonic of a square wave
  • · Replies 3 ·
Replies
3
Views
8K
Calculating τ by knowing I is proportional to A^2
  • · Replies 8 ·
Replies
8
Views
3K
Resultant amplitude for waves of different frequencies?
  • · Replies 1 ·
Replies
1
Views
4K
Determining Parameters of a Transverse Harmonic Wave
  • · Replies 3 ·
Replies
3
Views
2K