# Find the sinusoidal signal at specific frequency

1. Sep 6, 2013

### DODGEVIPER13

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. Sep 6, 2013

### DODGEVIPER13

8.944sin(100∏t+26.56)

3. Sep 6, 2013

### DODGEVIPER13

where ω=2(pi)f=100(pi) and sin(ωt+θ) I found θ by tan^-1(4/8)=26.56°

4. Sep 6, 2013

### 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...

5. Sep 6, 2013

### DODGEVIPER13

8.944sin(100(pi)t+.463)

6. Sep 6, 2013

### DODGEVIPER13

converted 26.56 to radians

7. Sep 6, 2013

### DODGEVIPER13

oor would just doing 26.56°

8. Sep 6, 2013

### Staff: Mentor

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