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Find the sinusoidal signal at specific frequency

  1. Sep 6, 2013 #1
    1. The problem statement, all variables and given/known data
    For a phasor V(x) = 8 + 4j find the sinusoidal signal that it represents if the frequency is 50 Hz?


    2. Relevant equations



    3. The attempt at a solution
    sqrt(64+16)=8.944sin(50t) so clearly this is not correct?
     
  2. jcsd
  3. Sep 6, 2013 #2
    8.944sin(100∏t+26.56)
     
  4. Sep 6, 2013 #3
    where ω=2(pi)f=100(pi) and sin(ωt+θ) I found θ by tan^-1(4/8)=26.56°
     
  5. Sep 6, 2013 #4

    gneill

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    Staff: Mentor

    Yup. That'll do it. Although strictly speaking you should indicate the units of the arguments to the sin function, since one is clearly radians and the other degrees...
     
  6. Sep 6, 2013 #5
    8.944sin(100(pi)t+.463)
     
  7. Sep 6, 2013 #6
    converted 26.56 to radians
     
  8. Sep 6, 2013 #7
    oor would just doing 26.56°
     
  9. Sep 6, 2013 #8

    gneill

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    Staff: Mentor

    Either way works. You're more likely to see the degrees version in practice.
     
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