Find the sinusoidal signal at specific frequency

  • #1
DODGEVIPER13
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Homework Statement


For a phasor V(x) = 8 + 4j find the sinusoidal signal that it represents if the frequency is 50 Hz?


Homework Equations





The Attempt at a Solution


sqrt(64+16)=8.944sin(50t) so clearly this is not correct?
 

Answers and Replies

  • #2
DODGEVIPER13
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8.944sin(100∏t+26.56)
 
  • #3
DODGEVIPER13
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where ω=2(pi)f=100(pi) and sin(ωt+θ) I found θ by tan^-1(4/8)=26.56°
 
  • #4
gneill
Mentor
20,945
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where ω=2(pi)f=100(pi) and sin(ωt+θ) I found θ by tan^-1(4/8)=26.56°

8.944sin(100∏t+26.56)

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...
 
  • #5
DODGEVIPER13
672
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8.944sin(100(pi)t+.463)
 
  • #6
DODGEVIPER13
672
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converted 26.56 to radians
 
  • #7
DODGEVIPER13
672
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oor would just doing 26.56°
 
  • #8
gneill
Mentor
20,945
2,886
Either way works. You're more likely to see the degrees version in practice.
 

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