Adding waveforms

  • Thread starter zak8000
  • Start date
  • #1
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Main Question or Discussion Point

say i have the following waveforms

V1=10cos(wt)
V2=20sin(wt)

and i am told to find an analytic expression for the resulting voltage waveform

fristly i found the V1+V2 add the two phasors at t= 0 to get 22.4 and then i found theta which is 26.5 (tan^-1(10/20)) but now im confused will the expression be:

V=22.4sin(wt+26.5)

or

V=22.4cos(wt+26.5)
 

Answers and Replies

  • #2
mathman
Science Advisor
7,759
414
You can use the cos(a+b) and sin(a+b) expansions and see which one gives you the original V1 and V2.
 
  • #3
Born2bwire
Science Advisor
Gold Member
1,779
18
At t=0 it is trivial to calculate the result of the original voltages.

At t=0, V = 10. So which of the two expressions for V that you have satisfy this relationship?
 

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