(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

I was working on a problem dealing with complex numbers. I had to add two phasors together to get the combined phasor. I converted both numbers to rectangular form, added them and converted the result back to polar form. My magnitude was correct, but my phase was not.

2. Relevant equations

rectangular form of both complex numbers added together: -1.204 + j0.9476.

magnitude : 1.532.

phase: -38.2043 degrees

book answer: 1.532e^j141.79

3. The attempt at a solution

I don't really understand why I didn't get the phase right. I took the arctan of y / x and got the wrong answer. Just for the heck of it, I decided to randomly add 180 to my phase and got 141.79. What effect did this have? Why did I need to add 180? How was I supposed to know I needed to add 180?

Thanks

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Question about adding complex numbers

**Physics Forums | Science Articles, Homework Help, Discussion**