Amateur Extra E9G: The Smith chart

These are the 11 official questions in group E9G of the 2024–2028 Amateur Extra question pool, with the correct answer marked and a plain-English explanation of why it's right. The real exam asks one question from this group.

Learn E9G step by stepThe Amateur Extra course teaches this group in a short guided lesson, then drills you on the questions you miss. Start with the free lessons to see how it works.
  1. E9G01Question 1

    Which of the following can be calculated using a Smith chart?

    • AImpedance along transmission lines Correct
    • BRadiation resistance
    • CAntenna radiation pattern
    • DRadio propagation

    Why: A Smith chart can calculate impedance along transmission lines.

  2. E9G02Question 2

    What type of coordinate system is used in a Smith chart?

    • AVoltage circles and current arcs
    • BResistance circles and reactance arcs Correct
    • CVoltage chords and current chords
    • DResistance lines and reactance chords

    Why: A Smith chart uses resistance circles and reactance arcs.

  3. E9G03Question 3

    Which of the following is often determined using a Smith chart?

    • ABeam headings and radiation patterns
    • BSatellite azimuth and elevation bearings
    • CImpedance and SWR values in transmission lines Correct
    • DPoint-to-point propagation reliability as a function of frequency

    Why: Smith charts are used to find impedance and SWR in lines.

  4. E9G04Question 4

    What are the two families of circles and arcs that make up a Smith chart?

    • AInductance and capacitance
    • BReactance and voltage
    • CResistance and reactance Correct
    • DVoltage and impedance

    Why: A Smith chart is made of resistance and reactance circles and arcs.

  5. E9G05Question 5

    Which of the following is a common use for a Smith chart?

    • ADetermine the length and position of an impedance matching stub Correct
    • BDetermine the impedance of a transmission line, given the physical dimensions
    • CDetermine the gain of an antenna given the physical and electrical parameters
    • DDetermine the loss/100 feet of a transmission line, given the velocity factor and conductor materials

    Why: A common use is finding a matching stub's length and position.

  6. E9G06Question 6

    On the Smith chart shown in Figure E9-3, what is the name for the large outer circle on which the reactance arcs terminate?

    Figure E9-3 for question E9G06
    • APrime axis
    • BReactance axis Correct
    • CImpedance axis
    • DPolar axis

    Why: The large outer circle is the reactance axis.

  7. E9G07Question 7

    On the Smith chart shown in Figure E9-3, what is the only straight line shown?

    Figure E9-3 for question E9G07
    • AThe reactance axis
    • BThe current axis
    • CThe voltage axis
    • DThe resistance axis Correct

    Why: The only straight line is the resistance axis.

  8. E9G08Question 8

    How is a Smith chart normalized?

    • AReassign the reactance axis with resistance values
    • BReassign the resistance axis with reactance values
    • CReassign the prime center’s impedance value Correct
    • DReassign the prime center to the reactance axis

    Why: Normalize by reassigning the prime center's impedance.

  9. E9G09Question 9

    What third family of circles is often added to a Smith chart during the process of designing impedance matching networks?

    • AConstant-SWR circles Correct
    • BTransmission line length circles
    • CCoaxial-length circles
    • DRadiation-pattern circles

    Why: Constant-SWR circles are often added for matching design.

  10. E9G10Question 10

    What do the arcs on a Smith chart represent?

    • AFrequency
    • BSWR
    • CPoints with constant resistance
    • DPoints with constant reactance Correct

    Why: The arcs are points of constant reactance.

  11. E9G11Question 11

    In what units are the wavelength scales on a Smith chart calibrated?

    • AIn fractions of transmission line electrical frequency
    • BIn fractions of transmission line electrical wavelength Correct
    • CIn fractions of antenna electrical wavelength
    • DIn fractions of antenna electrical frequency

    Why: The wavelength scales are in fractions of electrical wavelength.

Learn E9G step by stepThe Amateur Extra course teaches this group in a short guided lesson, then drills you on the questions you miss. Start with the free lessons to see how it works.
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