Help: line transmission question

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Discussion Overview

The discussion revolves around calculating the impedance of a transmission line using the formula \( Z_0 = \sqrt{\frac{R + j\omega L}{G + j\omega C}} \). Participants are addressing the application of this formula with specific values for resistance, inductance, capacitance, and conductance, while also seeking clarification on the units and assumptions involved in the calculation.

Discussion Character

  • Homework-related
  • Technical explanation
  • Debate/contested

Main Points Raised

  • Dan expresses difficulty in calculating the impedance and provides specific values for R, L, C, and G.
  • One participant questions the clarity of the values provided, asking if they are per meter.
  • Another participant suggests using conjugate multiplication to simplify the calculation.
  • A later reply emphasizes the importance of including the square root in the impedance formula and notes the necessity of using consistent units for the calculations.
  • There is uncertainty expressed regarding the accuracy of the values and whether they should be treated as approximations.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the clarity of the values provided or the correct approach to the calculation. Multiple viewpoints regarding the interpretation of the values and the application of the formula remain present.

Contextual Notes

There are limitations regarding the assumptions about the units of the provided values and the context in which they are applied. The discussion does not resolve these uncertainties.

Danieljax88
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Hi
I am trying to calculate impedance in a line transmission but can't seem to figure it out :(
i have so far undertood that it is calculated by zo = R+jwL/G+jwC

The values i have found so far to help me with the task are:
R =100 ohms
L=225 micro henry
C = 9.3 Nano farads
G = 0.01 S

Can anyone get back to me asap with some help as i have got cswk in for today and am REALLY struggling :(

Regards
Dan
 
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Where are those values in a transmission line? Per metre?

Time and time again people get a poor response because their question is vague.
 
Hi Dan
use conjugate multiplication!
multiply (R+jwL) and (G-jwC) in the numerator..(G+jwC) and (G-jwC) in the Dr.
Substitute...w^2 = (1/LC)
 
yeah i guess its per metre...
 
Danieljax88 said:
Hi
I am trying to calculate impedance in a line transmission but can't seem to figure it out :(
i have so far undertood that it is calculated by zo = R+jwL/G+jwC

The values i have found so far to help me with the task are:
R =100 ohms
L=225 micro henry
C = 9.3 Nano farads
G = 0.01 S

Can anyone get back to me asap with some help as i have got cswk in for today and am REALLY struggling :(

Regards
Dan

You miss the square root! Z0=SQRT[(R+jwL)/(G+jwC)]

I don't know how you get the numbers. I think it should be close approx. Make sure you use meter, farad/meter, henry/meter etc. for calculation. I am not 100% sure.
 

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