What is Transmission line: Definition and 184 Discussions

In electrical engineering, a transmission line is a specialized cable or other structure designed to conduct electromagnetic waves in a contained manner. The term applies when the conductors are long enough that the wave nature of the transmission must be taken into account. This applies especially to radio-frequency engineering because the short wavelengths mean that wave phenomena arise over very short distances (this can be as short as millimetres depending on frequency). However, the theory of transmission lines was historically developed to explain phenomena on very long telegraph lines, especially submarine telegraph cables.
Transmission lines are used for purposes such as connecting radio transmitters and receivers with their antennas (they are then called feed lines or feeders), distributing cable television signals, trunklines routing calls between telephone switching centres, computer network connections and high speed computer data buses. RF engineers commonly use short pieces of transmission line, usually in the form of printed planar transmission lines, arranged in certain patterns to build circuits such as filters. These circuits, known as distributed-element circuits, are an alternative to traditional circuits using discrete capacitors and inductors.
Ordinary electrical cables suffice to carry low frequency alternating current (AC) and audio signals. However, they cannot be used to carry currents in the radio frequency range above about 30 kHz, because the energy tends to radiate off the cable as radio waves, causing power losses. RF currents also tend to reflect from discontinuities in the cable such as connectors and joints, and travel back down the cable toward the source. These reflections act as bottlenecks, preventing the signal power from reaching the destination. Transmission lines use specialized construction, and impedance matching, to carry electromagnetic signals with minimal reflections and power losses. The distinguishing feature of most transmission lines is that they have uniform cross sectional dimensions along their length, giving them a uniform impedance, called the characteristic impedance, to prevent reflections. The higher the frequency of electromagnetic waves moving through a given cable or medium, the shorter the wavelength of the waves. Transmission lines become necessary when the transmitted frequency's wavelength is sufficiently short that the length of the cable becomes a significant part of a wavelength.
At microwave frequencies and above, power losses in transmission lines become excessive, and waveguides are used instead which function as "pipes" to confine and guide the electromagnetic waves. At even higher frequencies, in the terahertz, infrared and visible ranges, waveguides in turn become lossy, and optical methods, (such as lenses and mirrors), are used to guide electromagnetic waves.

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  1. T

    Current of AC transmission lines and electricity in general

    Hi, I realized I didn't understand the physical model of something I know the theory of pretty well. I was considering the real power loss of an AC transmission line I2*R, then I realized that from source to load the electrons in an AC line don't actually move anywhere. (as far as I know) Yet if...
  2. M

    I Dispersion relation of a transmission line - questions

    Hi, I have transmission line with dispersion relation ω=sin(kx), so then means that for one value of ω I have two values of k. I apply voltage with some frequency with is allowed to move in the line. First question is, how can I influence what k will be generated inside the line. The another...
  3. GhostLoveScore

    Why Doesn't a Transmission Line Radiate All Its Power Away?

    This question is about transmission line that I use between my Ham radio and the antenna. We a transmission line that is made of two parallel conductors close together. The current in one conductor is exactly the same as the current in the other conductor, but flowing in opposite direction...
  4. B

    Transmission line and infinite reflection coefficient

    Hello, I am taking some microwave engineering courses and was trying to explain the concept of reflection coefficients to my friend, but he asked me a question I am unable to answer... So we know that given a transmission line with characteristic impedance Z_0 terminated with a load impedance...
  5. tech99

    Transformer core considered as a waveguide

    Has anyone considered the iron core of a transformer to act as a transmission line or waveguide, where it conveys energy from primary to secondary? The core seems to resemble a "magnetic version" of the single wire Goubau line.
  6. Azaxa

    Transmission Line Model (TLM) End Resistance (Re)

    Hi guys. I'm looking into the modelling of a transmission line model (TLM) and feel that I'm understanding it fairly well. Although, one parameter keeps popping up with very little explanation as to what it actually is. It seems that to characterize contact resistance for a e.g. GaAs TLM with...
  7. Azaxa

    Transmission Line Model (TLM) End Resistance (Re)

    Hi guys. I'm looking into the modelling of a transmission line model (TLM) and feel that I'm understanding it fairly well. Although, one parameter keeps popping up with very little explanation as to what it actually is. It seems that to characterize contact resistance for a e.g. GaAs TLM with...
  8. G

    I have questions for transmission line (impedance matching)

    Hello. I have questions for transmission line and please see the image below. This is the circuit what I made in which ZO and ZL are output and load impedances, respectively. The commercial voltage probe with oscilloscope is used to measure VL, voltage over ZL . VO, the voltage difference...
  9. N

    CMOS to Microstrip Impedance Matching

    I need to somehow take the output of a CMOS IC and transmit that signal over a 50 Ohm Microstrip line. The output impedance of the CMOS IC is about 15 megaohms. I see a lot of examples for going from 75 ohms to 50 ohms or similar but nothing on something of this magnitude. Any ideas? CMOS...
  10. I

    Transmission line transient simulation

    Dear all, I am simulation a lossy transmission line like this: http://www.ece.uci.edu/docs/hspice/hspice_2001_2-2878.jpg with G having zero conductance (open). So it is a standard lossy transmission line with RLC components. All R, L, and C values are the same, so there is no variation from...
  11. baby_1

    Understanding Transmission Line Impedance and Voltage Distribution

    Hello In this problem I tried to find the voltage at 2Z0 (load) that is (landa/4) from generator.My result it is different from teacher's result.what is my mistake? (I named V1e as A point and V2e as B point so the voltage across the B point is (Vs/4) according to Zin=Z0 that is the same as Z0...
  12. Cedric Eveleigh

    Calculating current distribution in a HF coaxial cable?

    Hello, I would like to calculate the current distribution in a coaxial cable where the skin effect is significant. I asked this question on stackexchange and I provided pictures and more details there...
  13. X

    S11 of Ideal Transmission line on a Smith Chart

    Homework Statement An ideal transmission line is terminated with a load impedance of 90 ohms and has a characteristic impedance of 50 ohms. Why does it's S11 response trace out a circle on the smith chart? Homework Equations Z_{\text{in}}=Z_0\frac{Z_0+j Z_L \tan(\beta l)}{Z_L+j Z_0 \tan(\beta...
  14. H

    Transmission line secondary coefficients

    Homework Statement A transmission line has the primary coefficients R= 2 ohm/m, L=8 nH/m, G= 0.5 mS/m and C= 0.23 pF/m. Determine the lines secondary coefficients Zo, α and β at a frequency of 1 GHz. Homework Equations ω= 2 π f See uploaded formulas document The Attempt at a Solution I'm not...
  15. neduet

    132 kv transmission line towers and conductors

    Dear friends 1.What is wind span ,wight span and normal span, and what is the difference. 2. Factory acceptance test. FAT. For towers what is that meaning and what is necessary test to be require to do or check. Thanks
  16. J

    Transmission Line Reflected Waves

    Hi , I'm studying transmission lines and how waves move through the device , so far I haven't delved into the maths behind it as I have been trying to get an overview of it.So far I have seen the effects when there is an open circuit , shorted and matched impedance loads. The example I saw...
  17. neduet

    Selecting conductors for transmission line 132kv 100MW 95km

    Hello dears i want to know which is best for 132kv transmission line. advantages and disadvantages as in prectical use. but also consider economical factor wisely . what you chose if you are in my place... ACSR Conventional AAAC ( All Aluminium Alloy Conductors ) ACCC Aluminum Conductor...
  18. neduet

    How Do You Calculate Short Circuit Current for a 132 kV Transmission Line?

    hi friends. I am new for transmission 132kv project. For transfer 100MW power about 95km line. 1. I want to know what is short ckt current and how to calculate it. 2. load breaking current Your kind help required thanks.
  19. G

    Impedance matching of transmission line to source impedance

    Hello I'm now studying transmission line theory. I got to know how impedance matching between characteristic impedance of transmission line and electrical load is important to achieve maximum power transfer and minimize power reflection which causes danger for the system. But the textbook...
  20. can12345

    Pressure Loss in Transmission Line: Analyzing Reducing Union, Filter & L Pipe

    Homework Statement I would like to define pressure loses through transmission line to the transducer. In transmission line I have a reducing union, filter and L pipe. How I can find this differences? In case of frequency my reducing union reduce pipe diameter 6 mm to 3 mm how i can determine...
  21. Y

    A question regarding transmission line

    When wave is reflected back means power is reflected back and not all power is consumed at the load. But I am thinking if I placed the load at the position of Vmax (of the stationary wave formed by the incident and reflected wave). Isn't that all the power will be dissipated at the load, so...
  22. B

    Transmission line Voltage loss

    Ok I do not know if I am right about this but : if you have an AC 120 V 60Hz generator connected to a wire of Length L(1000KM) and Resistance R going to a motor down a well, to know if you will have Voltage loss you do λ = C / F C is the speed of Light = 299 792 458 m/s F is the 60Hz λ =...
  23. F

    Determine attenuation of voltage in transmission line

    Hello, So I have a circuit where I input a square pulse with a source impedance and load impedance (which are just pure resistors) each of which can be varied and a transmission line circuit connecting them which is made up of resistors, capacitors, inductors in a lumped element model. I set...
  24. Jackson Lee

    Confusion about inner inductance of transmission line

    I was reading textbook and felt confused about this-- when trying to deal with inner inductance of transmission line, only the fraction (x/r)^2 of total current, which interlock with magnetic lines should be considered. However, isn't the inductance or even flux linkage an intermediate...
  25. A

    Transmission line input impedance

    Homework Statement (a) A transmission line has a length, ℓ, of 0.4λ. Determine the phase change, βℓ, that occurs down the line. (b) A 50Ω lossless transmission line of length 0.4λ is terminated in a load of (40 + j30) Ω. Determine, using the equation given below, the input impedance to the...
  26. M

    50 Hz High-Voltage Transmission Line

    Homework Statement Figure shows a 50 Hz, high-voltage, transmission line. The relationships between the sending and receiving end voltages and currents are given by the complex ABCD equations: where 'S' stands for sending-end and 'R' stands for receiving-end (a) Given the parameter...
  27. P

    Power Transmission Line and Transformer Parameters

    Hi, I was wondering if it would be possible for someone to help me clarify a few things regarding transmission lines and transformers? For a Power Transmission line, what exactly is the mutual coupling between phases of a 3 phase line? Is this the same as the shunt capacitance and if not...
  28. P

    3 phase transmission line mutual coupling

    Hi, if I simulate a three phase transmission line operating with a fault across two of the phases, would the mutual coupling have any effect on the current through each of the lines, as I have calculated the fault current values using symmetrical component analysis and the values are...
  29. J

    Pulling Conductor - Transmission Line

    I need to figure out if my companies pulling equipment can handle a 795 drake conductor (about 1 lb/ft) double bundled (times 2). The pulling equipment has a safe working load of 4000 lbs. We are pulling it across 16 spans with a average span of 674 feet. the towers are 115' tall. Max sag...
  30. M

    Effect of conductor orientation on transmission line ampacity

    Hi guys, I was playing around with conductor configurations and observed this phenomenon. Mind you these are for the High voltage transmission (138 kV) lines that span kms. So apparently, the orientation of the conductor relative to North will change the ampacity of the transmission line. Can...
  31. B

    High voltage transmission line with ABCD complex equations

    Homework Statement Figure shows a 50 Hz, high-voltage, transmission line. The relationships between the sending and receiving end voltages and currents are given by the complex ABCD equations: V_S = V_R (A_1+jA_2)+I_R (B_1+jB_2) I_S = V_R(C_1+jC_2)+I_R(D_1+jD_2) where 'S' stands...
  32. S

    What is Impedance Inversion in Transmission Line

    Hello to experts! What is impedance inversion in quarter wave transformer? I need definition not a concept, not explanation, not description. But a precise and point definition. Thank you very much.
  33. M

    What is the Solution for a Lossless Transmission Line with Given Parameters?

    Homework Statement A lossless transmission line with characteristic impedance Z0 = 50Ω , β = 5∏x10-3, and length l =80 meters, is terminated into a load ZL = 80Ω. The transmission line is powered by a source with 120 V and ZG = 12 Ω. Calculate the load voltage. Homework...
  34. M

    How Do You Derive the Equation for a Medium-Distance Power Transmission Line?

    Hello. I need to derive this equation (attached), can you help me please? That's the equation for a two-pair terminal medium-distance power transmission line (20~100km). I have no idea how to start it. Can someone guide me, please?
  35. T

    How Do You Sketch Voltage and Current Waveforms for a Coaxial Transmission Line?

    Homework Statement As seen in picture: A coaxial transmission line has a characteristic impedance of 50 Ω, propagation velocity of 200m/μs, length of 400m, and is terminated by a load resistance, RR = 16.7 Ω. At the sending end the line is connected to a pulse generator that has an...
  36. T

    Transmission Line (simple Prob)

    Homework Statement Incase formatting of numerical answers below is weird, please see attached picture of question. "Consider a distortionless transmission line with impedance 50 Ω, capacitance 0.1 nF/m and attenuation 0.01 dB/m. Find: (a) the resistance, inductance and conductance of...
  37. Y

    Return loss of transmission line and optical fiber

    In wikipedia, it said for optical fiber, a loss that takes place at discontinuities of refractive index, especially at an air-glass interface such as a fiber endface. At those interfaces, a fraction of the optical signal is reflected back toward the source. But what I learned in tranmission...
  38. S

    Odd Mode Analysis: Microwave Transmission Line

    Hey all, Refer to page 5 in the pdf in the link (http://whites.sdsmt.edu/classes/ee481/notes/481Lecture26.pdf) I am having a little bit of a hard time understanding a portion of a derivation. You will notice that when determining the ABCD paramters of the shunt stubs they merely use A=1...
  39. T

    Answer: Calculating Average Power Delivered to Load Resistors on 50 Ohm Line

    A 50 ohm transmission line is terminated with 60 ohm and 30 ohm resistors in parallel. The voltage at the input to the line is V(t) = 100 cos (5X10 ^ 9 t) and the line is 3/8 th of a wavelength long. What average power is delivered to each load resistor ? My ans is getting 81.6 but actual...
  40. H

    Velocity factor of lossy transmission line?

    I have been reading up on transmission lines and I was wondering: If a transmission line has high dielectric loss (low conductance, G) does this have any effect on the velocity factor? I would think that it would reduce the velocity factor because some of the energy would be absorbed by...
  41. jegues

    Transmission Line, Max Real Power Transfer

    Homework Statement A 230kV, 160km long transmission line has the following parameters expressed on a 230kV, 100MVA base. R = 0.0151 X = 0.1476 Y = 0.288 The sending end voltage of the line is held constant at 1.0 pu. The load at the receiving end has a lagging power factor of 0.8...
  42. M

    Antenna/Balun transmission line query

    Hi, I'm building a Yagi antenna for the 440Mhz ham band. The outline I'm following uses a driven element of a folded dipole; Z = around 288 ohms. I am feeding this with 50 ohm source. Many internet sources describe a balun made from a 1/2 wave length coax (velocity factor adjusted). I will...
  43. M

    Two-conductor transmission line, find the potential difference V of th

    https://www.physicsforums.com/attachments/66302Two-conductor transmission line, find the potential difference V of the two conductors.? Two-conductor transmission line. At point P (x=43 cm, y=32 cm) in Fig. 2-10, |E|=450 V/m. If s=25 cm, h=29 cm, and r=12.5 cm, find the potential difference if...
  44. L

    Finding the Power Loss Through a Transmission Line

    Homework Statement A factory receives 120kW of power from a power station 20km away via transmission lines. If the resistance in the power lines is 0.5Ω/km, what is the power loss in the lines if the electricity is transmitted at 100kV (Approximate to a simple DC circuit). Homework Equations V...
  45. B

    Archived Derive the general solution for current in a lossless transmission line

    Homework Statement Find the general solution for the current I(z,t) associated with the voltage V(z,t).Do this by substituting [1] into [2] and [3], integrate with respect to time, and then take the derivative with respect to z. Homework Equations V(z,t)= f+(t-z/vp) + f-(t+z/vp) [1]...
  46. S

    Transmission Line Homework - Determine Input Impedance

    Homework Statement Attached is the problem. I am a little confused as to how I should be approaching this type of problem. If I Determine the input impedance for the first segment of transmission line and load impedance on the right, is that going to be in parallel with Z_L on the left? I am...
  47. O

    Transmission Line: 300km vs 150km

    Hello i would like to know what is the different between 300km and 150km in transmission line.. thanks
  48. S

    Transmission Line Length for Real Input Impedance?

    Homework Statement Hey guys. I have a transmission line with a known characteristic impedance (50 Ω) of length L that is connected to an antenna that has a complex impedance of (50-j25)Ω. I am having extreme difficulty determining the minimum length (expressed in wavelengths) of line such...
  49. M

    What is the impedance of a matched transmission line

    Hi, I've been coming to physicsoforums for years, I love the community! This might be my first post though. I am wondering what the impedance is of a transmission line with a matched stub on the end. The impedance of the line is 50 Ohms, and the impedance of the stub is 50 Ohms. Is the...
  50. R

    Transmission Line Simulation Questions

    I am simulating an unshielded twisted wire pair of a communication network, Controller Area Network. Bus Speeds taken into consideration are 250/500/1000/2000 kbps. Depending on the physical dimensions of the wire and insulation dielectric constant, I have computed the R,L,C,G parameters...
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