Transmission Lines Concepts Quiz

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Questions and Answers

What is the reflection coefficient for best matching?

  • should be negative
  • equal to infinity
  • equal to zero (correct)
  • equal to one

Which of the following contributes to the reflected voltage?

  • all of the choices (correct)
  • Zo
  • propagation constant
  • length

What is the reflection coefficient of an open-circuited line?

  • infinite
  • 1 (correct)
  • -1
  • 0

What is the term for the interference of two waves going in opposite directions?

<p>standing waves (D)</p> Signup and view all the answers

In a step-up quarter-wave transformer matching, the load resistance is expected to be:

<p>less than characteristic impedance (B)</p> Signup and view all the answers

The impedance at the termination of a shorted line is:

<p>minimum (A)</p> Signup and view all the answers

Which expression represents the relationship of the reflection coefficients?

<p>$ Gamma_{v} &lt; Gamma_{i} = \sqrt{Gamma_{p}}$ (C)</p> Signup and view all the answers

Which statement is NOT characteristic of a microstrip transmission line?

<p>sandwiched between two ground planes (D)</p> Signup and view all the answers

What is the first step in using the Smith Chart?

<p>normalize the load impedance (C)</p> Signup and view all the answers

An open-circuited transmission line behaves like which component?

<p>capacitor (B)</p> Signup and view all the answers

In stub matching, the stub is placed ______ the primary line

<p>across</p> Signup and view all the answers

Flashcards

Reflection coefficient

The ratio of the reflected voltage to the incident voltage at the load.

Best matching in transmission lines

When the reflection coefficient is zero, the incident voltage is fully transmitted to the load, and there's no reflection.

Standing waves

The interference of two waves traveling in opposite directions, resulting in a standing wave pattern.

Standing Wave Ratio (SWR)

The ratio of the maximum voltage to the minimum voltage on a transmission line. It's a measure of the amount of reflection.

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Input impedance (Zin)

The impedance of a transmission line seen at a specific point, taking into account the effects of reflections.

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Open-circuited line reflection coefficient

A line with an open circuit at the end has a reflection coefficient of 1, indicating that all the incident voltage is reflected back.

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Power transfer efficiency

The amount of power that is delivered to the load, expressed as a percentage of the total power incident on the line.

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Matching network

A device used to match the impedance of a transmission line to the load, minimizing reflections and maximizing power transfer.

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Smith Chart

A graphical tool used to analyze transmission line performance and impedance matching. It provides a visual representation of complex impedances.

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Study Notes

Transmission Lines Exam Questions

  • Part 1: Matching

    • For best matching, the reflection coefficient should be equal to zero.
    • The reflection coefficient should not be equal to one, infinity or a negative value
  • Contributing Factors

    • The reflection coefficient depends on the propagation constant and characteristic impedance (Zo).
    • Incident voltage is affected by the propagation constant.
    • The incident current is affected by the transmission line's length.
  • Open-Circuited Line Reflection Coefficient

    • An open-circuited line has a reflection coefficient of -1.
  • Interference of Waves

    • Standing waves are created by the interference of incident and reflected waves that travel in opposite directions.
  • Minimum Impedance

    • The minimum impedance in a transmission line is determined by the ratio of the minimum voltage to the maximum current (Vmin/Imax).
  • Open and Short Circuits

    • In an open circuit configuration, the sum of incident voltage and reflected voltage is at a maximum value.
    • In a short circuit configuration, the sum of incident current and reflected current is maximum.
  • Impedance at Line Termination

    • The impedance at the termination of a shorted line is undefined.
  • Quarter-Wave Transmission Line Termination

    • The impedance of a quarter-wave transmission line terminated in an open circuit acts as a capacitor
  • Half-Wavelength Transmission Line Termination

    • The impedance of half-wavelength transmission line terminated in an open circuit acts as a series resonant circuit
  • λ/8 Transmission Line Termination

    • The impedance of a λ/8 transmission line terminated in an open circuit acts as a capacitor
  • 3λ/8 Transmission Line Termination

    • The impedance of a 3λ/8 transmission line terminated in a short circuit acts as a parallel resonant circuit.
  • Inductive and/or capacitive line

    • If the transmission line is purely inductive or capacitive, the minimum voltage(Vmin) will appear before Smax.
  • Stub Matching

    • In a step-up quarter-wave transformer matching configuration, the load resistance (RL) is greater than the characteristic impedance (Zo).
    • The stub is placed away from the primary line.
  • Smith Chart Usage

    • The first step when using a Smith chart is to draw the impedance circle.
  • Microstrip Characteristics

    • Microscopic transmission lines are constructed with a high-grade printed circuit and have an insulating substrate.
  • Reflection Coefficient Relationship

    • The relationship between incident and reflected voltage, and reflection coefficients, is determined by the characteristic impedance and the impedance of the load.
  • Expressions for Reflection Coefficient

    • Not all expressions below represent the reflection coefficient;
    • Multiple expressions determine the reflection coefficient values.
  • Determining First Voltage Maximum Position

    • The position of the first maximum voltage is determined by certain equations.

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