I am looking at a Smith Chart tutorial on the antenna-theory.com website. Unfortunately, I'm confused by one of the examples given...I don't get the same answer, so it's safe to say I'm doing something wrong. I was hoping someone could point me in the right direction.
It's example 2 on that page. It assumes a reference impedance, Zo = 50 Ohms. It provides a reflection coefficient, Γ = -0.3 + i0.4, and calculates the corresponding load impedance, Zl = 20.27 + i*21.62 Ω using the equation below:
Zl = Zo (1+Γ) / (1-Γ)
However, I don't get the same result for Zl. My working is:
For the real component of Γ, Zl = 50Ω (1+(-0.3)) / (1-(-0.3)) = 26.9Ω
For the imaginary component: Zl = 50Ω (1+i0.4) / (1-i0.4) = 116.67 Ω
Giving Zl = 26.9 + 116.67 Ω, which is miles off their answer. I'm obviously misunderstanding something, so any help would be appreciated!
Thanks in advance