- #1
OnceMore
- 23
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Hello,
This may be something that is more mathematical than electrical, but I figured here was the best place.
I am going through a worked example, and there is something I don't understand. The question is as follows
Find the imput impedance and return loss (in dB) of the loaded line in the last question as seen at the distance l = 5λ/8 from the load
The solution states that "because the input impedance is a periodic function of the line lenth, we need to decuct all multiples of λ/2 and analyse only the remainder (λ/8)..."
Now, I understand that λ/2 is a full rotation of the Smith chart, but why is that deducted? And, if you remove λ\2, how are you left with λ\8 ...from an origianl length of 5λ/8?
The last part may just be some mathematics that is escaping me at the moment, but I just cannot get past this part.
Thanks for any advice.
-S
This may be something that is more mathematical than electrical, but I figured here was the best place.
I am going through a worked example, and there is something I don't understand. The question is as follows
Find the imput impedance and return loss (in dB) of the loaded line in the last question as seen at the distance l = 5λ/8 from the load
The solution states that "because the input impedance is a periodic function of the line lenth, we need to decuct all multiples of λ/2 and analyse only the remainder (λ/8)..."
Now, I understand that λ/2 is a full rotation of the Smith chart, but why is that deducted? And, if you remove λ\2, how are you left with λ\8 ...from an origianl length of 5λ/8?
The last part may just be some mathematics that is escaping me at the moment, but I just cannot get past this part.
Thanks for any advice.
-S
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