Adding Harmonics to Form the Final Signal

[MisterP]

Homework Statement

Hello. Could someone help me?
I have to:
1) from given harmonics syntesize signal
2) calculate effective value of signal
3) represent resultant signal
Specs:
I assume frequency is 50hz
Table given below

Relevant Equations

A0/2 + A1*cos ("what goes here?" + Fi1) + etc..

Formula I have shows is probably for resulting harmonic? Does syntesizing mean writing the main formula? I havo no clue about effective value of signal and representation is probably done in excel or other graphing app.

 

[scottdave]

Inside the cosine should be a frequency *time + phase shift. What do you know about the harmonics in relation to the fundamental frequency? Are you sure about the A0/2 ? Usually f0 would be the fundamental freq. Then f1 is first harmonic etc.

 

[Dr. Courtney]

Try graphing it.

 

[MisterP]

Inside the cosine should be a frequency *time + phase shift. What do you know about the harmonics in relation to the fundamental frequency? Are you sure about the A0/2 ? Usually f0 would be the fundamental freq. Then f1 is first harmonic etc.

Thanks for response. I am not sure about A0/2, but I have seen it in books. I found formula where it says (2PI/T)*t + phase comes in cosine function. What is "(2PI/T)*t"? PI refers to 3.14

 

[MisterP]

Ok, I have come to some conclusion, i hope it is right.
So, first comes base harmonic and it is devided by 2. A0/2, then adding other harmonics + A1*cos(314-0.68) + etc
So, 314 is because I have 50hz frequency and -0.68 is my angle in radians.

 

[scottdave]

Thanks for response. I am not sure about A0/2, but I have seen it in books. I found formula where it says (2PI/T)*t + phase comes in cosine function. What is "(2PI/T)*t"? PI refers to 3.14

Sorry for being slow to reply. In this context T is the Period (time of one complete cycle). In your example of 50 Hz frequency, the period is (1/50) seconds.