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The familiar, low frequency mode of propagation of waves on a coaxial line, represented by voltage and current, is called a Transverse Electro-Magnetic (TEM) mode, because the field vectors are everywhere perpendicular to the direction of propagation. At the frequency of this experiment no other mode can propagate on the coaxial line provided. (At high frequencies other modes are possible which have field components in the direction of propagation but we shall not be concerned with these). The field pattern of each component of a TEM wave can be regarded as made up of two functions of position multiplied together. The first represents the variation in the transverse plane (x,y) or (r,0) and the second variation in the direction of propagation z. The transverse variation takes the form

The familiar, low frequency mode of propagation of waves on a coaxial line, represented by voltage and current, is called a Transverse Electro-Magnetic (TEM) mode, because the field vectors are everywhere perpendicular to the direction of propagation. At the frequency of this experiment no other mode can propagate on the coaxial line provided. (At high frequencies other modes are possible which have field components in the direction of propagation but we shall not be concerned with these). The field pattern of each component of a TEM wave can be regarded as made up of two functions of position multiplied together. The first represents the variation in the transverse plane (x,y) or (r,0) and the second variation in the direction of propagation z. The transverse variation takes the form

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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The familiar, low frequency mode of propagation of waves on a coaxial line, represented by voltage and current, is called a Transverse Electro-Magnetic (TEM) mode, because the field vectors are everywhere perpendicular to the direction of propagation. At the frequency of this experiment no other mode can propagate on the coaxial line provided. (At high frequencies other modes are possible which have field components in the direction of propagation but we shall not be concerned with these). The field pattern of each component of a TEM wave can be regarded as made up of two functions of position multiplied together. The first represents the variation in the transverse plane (x,y) or (r,0) and the second variation in the direction of propagation z. The transverse variation takes the form and E,= V(z) b log.() where I(z) is the axial current in the inner conductor and V(z) the voltage between the inner and outer conductors. The time variation and the variation in the propagation direction are represented by V(z) and I(z) which are complex amplitudes related by the transmission line equations: av əz I(z) H₁ 2πr al dz μ = - joLI and =-joCV where L=12 log.) H/mand C= which has solution V = Ve + Vejß₂ and Z I= V¹e¹²_VeJBz 2π b log.(a) 2π 2π Ho 27 an and 2₁-√√= 2√√log.) = 60 log.() 2. where B=0 VLC for an air filled line. The instantaneous voltage is the real part of V i.e. Re (Vejot) The variation of the He in the z direction is identical with that of I and the variation of Er is identical with that of V. Note that Er and He are everywhere perpendicular to each other and to the direction of propagation. F/m
Transcribed Image Text:The familiar, low frequency mode of propagation of waves on a coaxial line, represented by voltage and current, is called a Transverse Electro-Magnetic (TEM) mode, because the field vectors are everywhere perpendicular to the direction of propagation. At the frequency of this experiment no other mode can propagate on the coaxial line provided. (At high frequencies other modes are possible which have field components in the direction of propagation but we shall not be concerned with these). The field pattern of each component of a TEM wave can be regarded as made up of two functions of position multiplied together. The first represents the variation in the transverse plane (x,y) or (r,0) and the second variation in the direction of propagation z. The transverse variation takes the form and E,= V(z) b log.() where I(z) is the axial current in the inner conductor and V(z) the voltage between the inner and outer conductors. The time variation and the variation in the propagation direction are represented by V(z) and I(z) which are complex amplitudes related by the transmission line equations: av əz I(z) H₁ 2πr al dz μ = - joLI and =-joCV where L=12 log.) H/mand C= which has solution V = Ve + Vejß₂ and Z I= V¹e¹²_VeJBz 2π b log.(a) 2π 2π Ho 27 an and 2₁-√√= 2√√log.) = 60 log.() 2. where B=0 VLC for an air filled line. The instantaneous voltage is the real part of V i.e. Re (Vejot) The variation of the He in the z direction is identical with that of I and the variation of Er is identical with that of V. Note that Er and He are everywhere perpendicular to each other and to the direction of propagation. F/m
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