- #1

Voltux

- 30

- 3

Z = (XC*RL)/(XC+RL)

= (-j333*(1000))/(-j333+1000)

= 315 , -71.58*

= 100 -j300 ohms

I calculated that atan(1000/-333) = 71.58* however I do not understand where they got the 315 from. I get 249 or 499 depending on positive or negative.

I understand that 315 would be the length of the ray, and -71.58 would be the angle as this is capacitive hence -j. e.g. converting from rectangular to polar if I understand correctly.

It was explained as (333*1000)/(sqrt(333^2+1000^2)) and that indeed does give us 315.943 ~316, however, I do not understand how they used the mathematical function to get to this point and I was hoping someone could explain what I'm missing.