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

AI Thread Summary
To find the amplitude of the third harmonic in a 200kHz square wave with a fundamental frequency amplitude of 15V, one must apply Fourier transform principles. The amplitude of harmonics in a square wave is typically determined by the formula for the Fourier series, where odd harmonics are present. The third harmonic's amplitude can be calculated as a fraction of the fundamental amplitude, specifically using the formula for square waves. The discussion emphasizes the need for a Fourier transform to accurately determine these coefficients. Clarification on the transform process is encouraged for those unsure about the calculations.
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.
 

Thread 'Errors and significant figures'

I multiplied the values first without the error limit. Got 19.38. rounded it off to 2 significant figures since the given data has 2 significant figures. So = 19. For error I used the above formula. It comes out about 1.48. Now my question is. Should I write the answer as 19±1.5 (rounding 1.48 to 2 significant figures) OR should I write it as 19±1. So in short, should the error have same number of significant figures as the mean value or should it have the same number of decimal places as...
View full post »
Thread 'A cylinder connected to a hanging mass'

Thread 'A cylinder connected to a hanging mass'

Let's declare that for the cylinder, mass = M = 10 kg Radius = R = 4 m For the wall and the floor, Friction coeff = ##\mu## = 0.5 For the hanging mass, mass = m = 11 kg First, we divide the force according to their respective plane (x and y thing, correct me if I'm wrong) and according to which, cylinder or the hanging mass, they're working on. Force on the hanging mass $$mg - T = ma$$ Force(Cylinder) on y $$N_f + f_w - Mg = 0$$ Force(Cylinder) on x $$T + f_f - N_w = Ma$$ There's also...
View full post »

Similar threads

How is Wave Intensity Affected by Half Amplitude and Double Frequency?
Replies
16
Views
2K
what the relation between the amplitude magnitude and mass at resonance?
Replies
5
Views
841
When Do Sand Particles Slip Off a Vibrating Plate?
Replies
13
Views
1K
Superposition of two one-dimensional harmonic waves
Replies
10
Views
2K
Uncertainties For Wave Packets
Replies
4
Views
898
Wave Problem -- Total amplitude of fundamental and first three harmonics
Replies
4
Views
2K
How to calculate a harmonic of a square wave
Replies
3
Views
8K
Calculating τ by knowing I is proportional to A^2
Replies
8
Views
2K
Resultant amplitude for waves of different frequencies?
Replies
1
Views
3K
Determining Parameters of a Transverse Harmonic Wave
Replies
3
Views
2K

Hot Threads

Recent Insights

Back
Top