Transmission Lines flashcards

Description

Physics Flashcards on Transmission Lines flashcards, created by Alexei Smith on 26/05/2018.
Alexei Smith
Flashcards by Alexei Smith, updated more than 1 year ago
Alexei Smith
Created by Alexei Smith over 7 years ago
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Resource summary

Question Answer
EM Compatibility How well devices can work simultaneously and in the same locale without interference
Signal Integrity How well different parts of the same system can work without intereference
EMC Legislation (3) EU directive on EMC FCC (USA) China follows EU
What must be considered if a circuit is electrically large? Propagation delays
Electrical size is usually described in terms of... Physical size compared to operating wavelength
Generally, a circuit is considered electrically small if: Size < 1/10 λ
Capacitive crosstalk minimisation (4) Avoid coupled length of trace Increase trace separation Operate at a lower frequency Use shielding
The propagation constant equation γ = α + jβ
α in the propagation constant is... The attenuation constant: the factor of reduction in amplitude per unit length of the (constant) medium
β in the propagation constant is... Phase constant: the change in phase per unit length of (constant) medium
β in the propagation constant is mathematically equal to... β = ω / c
Units of α in the propagation constant Neper/metre x8.7 to get dB/m
The wave equation
Difference between phasors and frequency domain Phasors are a way of representing complex numbers through magnitude and phase, at a set frequency Frequency domain uses a set of phasors to represent a signal of multiple frequencies
An alternative to the phasor V = Aexp(jθ) v(ωt - βx) = R[V(0) exp(j(ωt - βx))]
y = f(t ____) y = f(t - x/c) where c is speed and x is displacement along the x axis
Phasor domain can only be applied to a transmission line if... The properties of the medium remain constant. These are: permittivity, permeability & refractive index.
Inductive crosstalk minimisation (5) Avoid coupled length of trace Increase trace separation Operate at a lower frequency Use shielding Minimise circuit loop areas
A inductive crosstalk shield must be... Grounded at both ends to allow current flow
Inductive shields work best... At high frequency: more current crosstalk current flows in the shield because it has a lower inductance, and therefore impedance.
Common method to reduce inductive crosstalk Twisted pair transmission line It minimises loop effects because the adjacent loops cancel out Must be balanced to avoid ground loop
In an infinite lossless transmission line, energy is stored... equally between the electric and magnetic fields
In an infinite lossless transmission line, the rate of energy storage is equal to... Because... The rate of energy storage is equal to the rate of energy input Because there is no energy loss
The current in a infinite lossless transmission line is equal to... From this we can deduce... V/Zo A load equal to Zo is equivalent
Terminating a finite transmission line with a load is the same as... Connecting an infinite line of the same impedance
Reflection coefficient equation
Transmission coefficients
Capacitive transmission line coupling induces... A current shared equally between the near and far ends
Inductive transmission line coupling induces... A voltage
The coupling voltage in a transmission line (far end) Propagates at the same speed and the source signal, meaning its amplitude builds over time
Near end coupling signal duration is proportional to... The coupled length
Near end coupling voltage has a duration: where: 2T where T is the propagation delay of the line
Impedance coupling minimisation Track impedance reduction Star connections - improves isolation Separate power supplies - best isolation
Equivalent PUL circuit for a lossless transmission line
Equivalent PUL circuit for a transmission line
Telegrapher's equation for L Derive from differential L formula
Telegrapher's equation for C Derive from differential C formula
What do the telegrapher's equations describe? The voltage/current change in a lossless transmission line due to elemental L/C
1D wave equation for the voltage on a lossless transmission line Derive by... Derive by differentiating L tele and subbing in C tele (other way for i)
For a lossless transmission line, characteristic impedance is... A real number
Relationship between L, C and propagation velocity
Relationship between L, C and characteristic impedance
Lumped element approximation can only be used if... Circuit is electrically small
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