• Support PF! Buy your school textbooks, materials and every day products Here!

Find the sinusoidal signal at specific frequency

  • #1
672
0

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
672
0
8.944sin(100∏t+26.56)
 
  • #3
672
0
where ω=2(pi)f=100(pi) and sin(ωt+θ) I found θ by tan^-1(4/8)=26.56°
 
  • #4
gneill
Mentor
20,793
2,773
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
672
0
8.944sin(100(pi)t+.463)
 
  • #6
672
0
converted 26.56 to radians
 
  • #7
672
0
oor would just doing 26.56°
 
  • #8
gneill
Mentor
20,793
2,773
Either way works. You're more likely to see the degrees version in practice.
 

Related Threads on Find the sinusoidal signal at specific frequency

  • Last Post
Replies
3
Views
47K
Replies
0
Views
3K
Replies
3
Views
6K
Replies
3
Views
2K
Replies
5
Views
6K
Replies
0
Views
1K
Replies
2
Views
963
  • Last Post
Replies
1
Views
723
  • Last Post
Replies
5
Views
2K
Replies
4
Views
1K
Top