- #1

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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?

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- Thread starter DODGEVIPER13
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- #1

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

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

- #2

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8.944sin(100∏t+26.56)

- #3

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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

- 20,925

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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

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

- #6

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converted 26.56 to radians

- #7

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oor would just doing 26.56°

- #8

gneill

Mentor

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

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