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Transmission lines

Transmission lines. Outline Types of transmission lines parallel conductors coaxial cables transmission line wave propagation Losses characteristics impedance

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Page 1: Transmission lines. Outline Types of transmission lines parallel conductors coaxial cables transmission line wave propagation Losses characteristics impedance

Transmission lines

Page 2: Transmission lines. Outline Types of transmission lines parallel conductors coaxial cables transmission line wave propagation Losses characteristics impedance

Outline

Types of transmission linesparallel conductorscoaxial cablestransmission line wave propagationLossescharacteristics impedanceincident and reflected wave and

impedance matching

Page 3: Transmission lines. Outline Types of transmission lines parallel conductors coaxial cables transmission line wave propagation Losses characteristics impedance

transmission media

Guided some form of conductor that provide conduit in

which signals are contained the conductor directs the signal examples: copper wire, optical fiber

Unguided wireless systems – without physical conductor signals are radiated through air or vacuum direction – depends on which direction the

signal is emitted examples: air, free space

Page 4: Transmission lines. Outline Types of transmission lines parallel conductors coaxial cables transmission line wave propagation Losses characteristics impedance

transmission media

Cable transmission media guided transmission medium and can be any

physical facility used to propagate EM signals between two locations

e.g.: metallic cables (open wire, twisted pair), optical cables (plastic, glass core)

Page 5: Transmission lines. Outline Types of transmission lines parallel conductors coaxial cables transmission line wave propagation Losses characteristics impedance

incident and reflected wave

Incident voltage voltage that propagates from sources toward the load

Reflected wave Voltage that propagates from the load toward the

sources

Page 6: Transmission lines. Outline Types of transmission lines parallel conductors coaxial cables transmission line wave propagation Losses characteristics impedance

classifications of transmission lines

Balanced Transmission line 2 wire balanced line. both conductors carry current. But only one

conductor carry signals.

Page 7: Transmission lines. Outline Types of transmission lines parallel conductors coaxial cables transmission line wave propagation Losses characteristics impedance

classifications of transmission lines

Page 8: Transmission lines. Outline Types of transmission lines parallel conductors coaxial cables transmission line wave propagation Losses characteristics impedance

classifications of transmission lines

Unbalanced Transmission line One wire is at ground potential the other wire is at signal potential advantages – only one wire for each signal disadvantages –reduced immunity to noises

Page 9: Transmission lines. Outline Types of transmission lines parallel conductors coaxial cables transmission line wave propagation Losses characteristics impedance

classifications of transmission lines

Page 10: Transmission lines. Outline Types of transmission lines parallel conductors coaxial cables transmission line wave propagation Losses characteristics impedance

classifications of transmission lines

Baluns Balanced transmission lines connected to

unbalanced transmission lines e.g.: coaxial cable to be connected to antenna

Page 11: Transmission lines. Outline Types of transmission lines parallel conductors coaxial cables transmission line wave propagation Losses characteristics impedance

Metallic Transmission Lines types

Parallel conductors Coaxial cable

Page 12: Transmission lines. Outline Types of transmission lines parallel conductors coaxial cables transmission line wave propagation Losses characteristics impedance

parallel conductors

consists of two or more metallic conductors (copper)

separated by insulator – air, rubber etc. Most common

Open Wire Twin lead Twisted Pair (UTP & STP)

Page 13: Transmission lines. Outline Types of transmission lines parallel conductors coaxial cables transmission line wave propagation Losses characteristics impedance

parallel conductors

Open Wire two-wire parallel conductors Closely spaces by air Non conductive spaces

support constant distance between conductors (2-6 inches)

Pro – simple construction Contra – no shielding, high radiation loss, crosstalk application – standard voice grade telephone

Page 14: Transmission lines. Outline Types of transmission lines parallel conductors coaxial cables transmission line wave propagation Losses characteristics impedance

parallel conductors

Twin lead spacers between the two conductor are replaced

with continuous dielectric – uniform spacing application – to connect TV to rooftop antennas material used for dielectric – Teflon, polyethylene

Page 15: Transmission lines. Outline Types of transmission lines parallel conductors coaxial cables transmission line wave propagation Losses characteristics impedance

parallel conductors

Twisted pair formed by twisting two insulated conductors

around each other Neighboring pairs is twisted each other to

reduce EMI and RFI from external sources reduce crosstalk between cable pairs

Page 16: Transmission lines. Outline Types of transmission lines parallel conductors coaxial cables transmission line wave propagation Losses characteristics impedance

parallel conductors

Unshielded Twisted Pair two copper wire encapsulated in PVC twisted to reduce crosstalk and interference improve the bandwidth significantly Used for telephone systems and local area

network

Page 17: Transmission lines. Outline Types of transmission lines parallel conductors coaxial cables transmission line wave propagation Losses characteristics impedance

parallel conductors

UTP – Cable Type Level 1 (Category 1)

ordinary thin cables for voice grade telephone and low speed data

Level 2 (Category 2) Better than cat. 1 For token ring LAN at tx. rate of 4 Mbps

Category 3 more stringent requirement than level 1 and 2 more immunity than crosstalk for token ring (16Mbps), 10Base T Ethernet (10Mbps)

Page 18: Transmission lines. Outline Types of transmission lines parallel conductors coaxial cables transmission line wave propagation Losses characteristics impedance

parallel conductors

UTP – Cable Type Category 4

upgrade version of cat. 3 tighter constraints for attenuation and crosstalk up to 100 Mbps

Category 5 better attenuation and crosstalk characteristics used in modern LAN. Data up to 100Mbps

Category 5e enhanced category 5 data speed up to 350 Mbps

Page 19: Transmission lines. Outline Types of transmission lines parallel conductors coaxial cables transmission line wave propagation Losses characteristics impedance

parallel conductors

UTP – Cable Type Category 6

data speed up to 550 Mbps fabricated with closer tolerances and use more

advance connectors

Page 20: Transmission lines. Outline Types of transmission lines parallel conductors coaxial cables transmission line wave propagation Losses characteristics impedance

parallel conductors

Shielded Twisted Pair (STP) wires and dielectric are enclosed in a conductive

metal sleeve called foil or mesh called braid the sleeve connected to ground acts as shield –

prevent the signal radiating beyond the boundaries

Page 21: Transmission lines. Outline Types of transmission lines parallel conductors coaxial cables transmission line wave propagation Losses characteristics impedance

parallel conductors STP – Category

Category 5e Feature individually shielded pairs of twisted wire Category 7

4 pairs surrounded by common metallic foil shield and shielded foil

twisted pair 1Gbps

Foil twisted pair Four pairs of 24-AWG copper wires encapsulated in a common

metallic-foil shield with a PVC outer sheath to minimize EMI susceptibility while maximizing EMI immunity > 1Gbps

shielded-foil twisted pair Four pairs of 24-AWG copper wires surrounded by a common

metallic-foil shield encapsulated in a braided metallic shield offer superior EMI protection > 1Gbps

Page 22: Transmission lines. Outline Types of transmission lines parallel conductors coaxial cables transmission line wave propagation Losses characteristics impedance

Coaxial cable

used for high data transmission coaxial – reduce losses and isolate

transmission path basics

center conductor surrounded by insulation shielded by foil or braid

Page 23: Transmission lines. Outline Types of transmission lines parallel conductors coaxial cables transmission line wave propagation Losses characteristics impedance

Metallic transmission lines

Coaxial cable

Rigid air filled solid flexible

Page 24: Transmission lines. Outline Types of transmission lines parallel conductors coaxial cables transmission line wave propagation Losses characteristics impedance

BNC Connectors To connect coaxial cable to devices, it is necessary to use coaxial connectors. The most common type of connector is the Bayone-Neill-Concelman,

or BNC, connectors. Types: BNC connector, BNC barrel, BNC T, Type-N, Type-N barrel. Applications include cable TV networks, and some traditional

Ethernet LANs like 10Base-2, or 10-Base5.

Guided Media – Coaxial Cable

Page 25: Transmission lines. Outline Types of transmission lines parallel conductors coaxial cables transmission line wave propagation Losses characteristics impedance

Two-wire parallel transmission lineelectrical equivalent circuit

Page 26: Transmission lines. Outline Types of transmission lines parallel conductors coaxial cables transmission line wave propagation Losses characteristics impedance

CjGLjRZ ω

ω0

Characteristic Impedance of a Line A terminated transmission line that is matched in its

characteristic impedance is called a matched line The characteristic impedance depends upon the electrical

properties of the line, according to the formula: The characteristic impedance can be calculated by using Ohm’s

Law:

Zo = Eo / Io

where Eo is source voltage and Io is transmission line current

Page 27: Transmission lines. Outline Types of transmission lines parallel conductors coaxial cables transmission line wave propagation Losses characteristics impedance

Characteristic Impedance The characteristic impedance for any type of transmission line

can be calculated by calculating the inductance and impedance per unit length For a parallel line with an air the dielectric impedance is:

Zo = the characteristic impedance (ohms) D = the distance between the centers r = the radius of the conductor

r

DZ log2760

Page 28: Transmission lines. Outline Types of transmission lines parallel conductors coaxial cables transmission line wave propagation Losses characteristics impedance

Coaxial cable

0

138log

r

DZ

d

Z0 = the characteristic impedance (ohms)D = the diameter of the outer conductord = the diameter of the inner conductor = the permittivity of the materialr = the relative permittivity or dielectric constant of the medium0 = the permeability of free space

For extremely high frequencies, characteristic impedance can be given by

Zo =

0r

0

1

o

c

CL /

Page 29: Transmission lines. Outline Types of transmission lines parallel conductors coaxial cables transmission line wave propagation Losses characteristics impedance

Wave propagation on Metallic transmission lines

Velocity factor The ratio of the actual velocity of propagation of EM wave

through a given medium to the velocity of propagation through vacuum

Vf = velocity factor

Vp = actual velocity of propagation c = velocity of propagation in vacuum

pf

VV

c

Page 30: Transmission lines. Outline Types of transmission lines parallel conductors coaxial cables transmission line wave propagation Losses characteristics impedance

transmission line wave propagation

rearranged equation the velocity via tx. line depends on the dielectric

constant of insulating material

ϵr = dielectric constant

The velocity along tx. line varies with inductance and capacitance of the cable

f pV c V

1p

r

V

Page 31: Transmission lines. Outline Types of transmission lines parallel conductors coaxial cables transmission line wave propagation Losses characteristics impedance

transmission line wave propagation

as

velocity x time = distance

therefore

normalized distance to 1 meter

Vp = velocity of propagation √LC = seconds L = inductance C = capacitance

T LCdistance

timep

DV

T

p

DV

LC

1 meters

secondpVLC

Page 32: Transmission lines. Outline Types of transmission lines parallel conductors coaxial cables transmission line wave propagation Losses characteristics impedance

transmission line wave propagation

Question A coaxial cable with

distributed capacitance C = 96.6 pf/H Distributed inductance L = 241.56 nH/m Relative dielectric constant. ϵr = 2.3

Determine the velocity of propagation and the velocity factor

Page 33: Transmission lines. Outline Types of transmission lines parallel conductors coaxial cables transmission line wave propagation Losses characteristics impedance

Losses

Conductor Losses conductor heating loss - I2R power loss the loss varies depends on the length of the tx. line

Dielectric Heating Losses difference of potential between two conductors of a metallic tx lines Negligible for air dielectric increase with frequency for solid core tx line

Radiation Losses the energy of electrostatic and EM field radiated from the wire and transfer to the nearby conductive material Reduced by shielding the cable

Page 34: Transmission lines. Outline Types of transmission lines parallel conductors coaxial cables transmission line wave propagation Losses characteristics impedance

Losses

Coupling Losses whenever connection is made between two tx line discontinuities due to mechanical connection where

dissimilar material meets tend to heat up, radiate energy and dissipate power

Corona luminous discharge that occurs between two conductors

of transmission line when the difference of potential between lines exceeds

the breakdown voltage of dielectric insulator