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Subelement T3

RADIO WAVE PROPAGATION

Section T3B

Electromagnetic wave properties: wavelength vs frequency, nature and velocity of electromagnetic waves, relationship of wavelength and frequency; Electromagnetic spectrum definitions: UHF, VHF, HF

What is the relationship between the electric and magnetic fields of an electromagnetic wave?

  • They travel at different speeds
  • They are in parallel
  • They revolve in opposite directions
  • Correct Answer
    They are at right angles

Think of a plus sign: +. That's what an electromagnetic wave looks like when you look down the length of it. One component (the electric field) oscillates up and down while the other component (the magnetic field) oscillates left and right. The two fields are perpendicular to each other and both are perpendicular to the direction the wave travels, so they meet at right angles.

Memory aids:

  • Visualize a plus sign: the two arms are at right angles
  • "All right angles" — both field components and the direction of travel are mutually perpendicular

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What property of a radio wave defines its polarization?

  • Correct Answer
    The orientation of the electric field
  • The orientation of the magnetic field
  • The ratio of the energy in the magnetic field to the energy in the electric field
  • The ratio of the velocity to the wavelength

An electromagnetic radio wave has both an electric field and a magnetic field, and those two fields are at right angles to each other. Polarization is defined by the orientation of the electric field vector as the wave propagates. Although the magnetic field is perpendicular to the electric field, conventions use the electric-field direction to describe polarization. Polarization is not related to the wave velocity or any energy ratio between the fields.

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What are the two components of a radio wave?

  • Impedance and reactance
  • Voltage and current
  • Correct Answer
    Electric and magnetic fields
  • Ionizing and non-ionizing radiation

Radio waves are electromagnetic waves because they consist of oscillating electric and magnetic fields that travel through space. The electric and magnetic fields are oriented at right angles to each other and to the direction the wave is moving.

Because radio waves are made of electric and magnetic fields, components that store energy in those fields—capacitors (electric field) and inductors (magnetic field)—are useful in antenna tuning. Antenna tuners commonly use variable capacitors and inductors for that reason.

Other terms in related areas of electronics are not the two components of a radio wave: voltage and current are electrical quantities used to feed or measure signals, impedance and reactance describe how circuits interact with signals, and ionizing vs non‑ionizing radiation describes biological effects, not the fields that make up the wave.

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What is the velocity of a radio wave traveling through free space?

  • Correct Answer
    Speed of light
  • Speed of sound
  • 0.86 times the speed of light
  • 1.86 times the speed of sound

Radio waves are electromagnetic waves, the same type of wave as visible light, infrared, ultraviolet, X-rays, and gamma rays. All electromagnetic waves travel at the same speed in free space — the speed of light (denoted c), about 3.00 × 10^8 meters per second. Sound waves are mechanical waves that require a medium (air, water, solid) and travel much more slowly, so they do not share this speed.

Memory aids:

  • Radio waves = light (same family: electromagnetic waves)
  • Speed of light c ≈ 3.00 × 10^8 m/s (about 186,000 miles/second)
  • Sound needs a medium; light/radio do not

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What is the relationship between wavelength and frequency?

  • Wavelength gets longer as frequency increases
  • Correct Answer
    Wavelength gets shorter as frequency increases
  • Wavelength is constant at all frequencies
  • Wavelength and frequency increase as path length increases

Frequency and wavelength are inversely proportional: as frequency increases, wavelength decreases. Wavelength is the distance between successive peaks of a wave; frequency is the number of those peaks (cycles) that pass a point each second. If there are more cycles in the same amount of time (higher frequency), each cycle must take up less distance, so the distance between peaks (wavelength) is shorter.

Memory aids:

  • Visualize a sine wave: the horizontal distance between peaks is the wavelength; more peaks in the same horizontal span means shorter distance between peaks (higher frequency).
  • Remember the phrase: "More cycles, less distance" to recall that higher frequency means shorter wavelength.

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What is the formula for converting frequency to approximate wavelength in meters?

  • Wavelength in meters equals frequency in hertz multiplied by 300
  • Wavelength in meters equals frequency in hertz divided by 300
  • Wavelength in meters equals frequency in megahertz divided by 300
  • Correct Answer
    Wavelength in meters equals 300 divided by frequency in megahertz

Wavelength in meters equals 300 divided by frequency in megahertz.

\begin{align} \lambda _\text{ (meters)} = \frac{300}{f_\text{ (MHz)}} \end{align}

Knowing this will help you with quite a few of the problems in the Technician class question pool!

For example, if you see the frequency \(150\text{ MHz}\) and need to know what band it is in, divide the speed of light by the frequency. MHz cancels out, which leaves you with \(\frac{300}{150\text{ MHz}} = 2\text{ meters}\)!

The \(150\text{ MHz}\) frequency is exactly in the middle of the 2-meter band. If your number is not quite on (e.g. \(\frac{300}{144\text{ MHz}} = 2.08\text{ meters}\)) that's okay, because the bands have a little play both above and below the "wavelength" number.


More Detail

Ever wonder where the value \(300\) comes from?

Here's the general form of the equation above:

\[\lambda \times f = c\]

The units are all basic SI units (International System of Units or Metric System) -- let's add them for clarity:

\[\lambda_\text{ (meters)} \times f_\text{ (Hz)} = c_\text{ (meters per second)}\]

The speed of light \(c\) is a constant, so we can plug that value in: \begin{align} \lambda_\text{ (meters)} \times f_\text{ (Hz)} &= 3.00 \times 10^8\text{ m/s} \end{align}

There are \(10^6\text{ Hz}\) in each \(\text{MHz}\), so let's divide both sides by \(10^6\) and simplify: \begin{align} \frac{\lambda_\text{ (meters)} \times f_\text{ (Hz)}}{10^6} &= \frac{3.00 \times 10^8\text{ m/s}}{10^6}\\ \lambda_\text{ (meters)} \times \frac{f_\text{ (Hz)}}{10^6} &= 3.00 \times 10^2\text{ m/s}\\ \lambda_\text{ (meters)} \times f_\text{ (MHz)} &= 300 \text{ (units combined)}\\ \lambda_\text{ (meters)} &= \frac{ 300 }{ f_\text{ (MHz)}}\\ \end{align}

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In addition to frequency, which of the following is used to identify amateur radio bands?

  • Correct Answer
    The approximate wavelength in meters
  • Traditional letter/number designators
  • Channel numbers
  • All these choices are correct

Amateurs commonly identify bands by their approximate wavelength in meters as well as by frequency. For example, saying “the 2‑meter band” refers to the amateur allocation around 144–148 MHz (which has a wavelength of about 2 meters). Similarly, terms like “70 centimeter band” or “33 centimeter band” are used to refer to their respective frequency ranges. The wavelength designation is simply another convenient way hams refer to a frequency range.

Memory aids:

  • “2‑meter band” ≈ 144–148 MHz
  • “70 cm” refers to the 440 MHz region
  • “33 cm” refers to the ~902 MHz region
  • Wavelength (meters) ≈ 300 ÷ frequency (MHz) — useful for quick conversions

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What frequency range is referred to as VHF?

  • 30 kHz to 300 kHz
  • Correct Answer
    30 MHz to 300 MHz
  • 300 kHz to 3000 kHz
  • 300 MHz to 3000 MHz

One thing that often confuses new hams is that the terms "HF", "VHF", and "UHF" refer to different parts of the radio spectrum, and "High Frequency" (HF) is actually lower in frequency than "Very High Frequency" (VHF).

The ranges are thus:

  • HF (High Frequency) is from 3 MHz to 30 MHz
  • VHF (Very High Frequency) is from 30 MHz to 300 MHz (and includes the popular 2‑meter band at 144–148 MHz)
  • UHF (Ultra High Frequency) is from 300 MHz to 3000 MHz

A helpful way to think about the boundaries is in terms of wavelength: 30 MHz corresponds to about a 10‑meter wavelength, and 300 MHz corresponds to about a 1‑meter wavelength, so VHF covers roughly 10 meters down to 1 meter.

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What frequency range is referred to as UHF?

  • 30 to 300 kHz
  • 30 to 300 MHz
  • 300 to 3000 kHz
  • Correct Answer
    300 to 3000 MHz

UHF stands for Ultra High Frequency and refers to frequencies from 300 MHz up to 3000 MHz (3 GHz). The HF, VHF, and UHF bands are contiguous ranges of the radio spectrum and are commonly defined as:

  • HF (High Frequency): 3 MHz to 30 MHz
  • VHF (Very High Frequency): 30 MHz to 300 MHz (includes the popular 2‑meter amateur band at 144–148 MHz)
  • UHF (Ultra High Frequency): 300 MHz to 3000 MHz

Because the units change (kHz vs MHz), it’s easy to be misled by answer choices that use kHz; UHF is specified in MHz, not kHz.

Memory aids / mnemonics:

  • Think of the prefixes: H (High) = lower frequency range than V (Very High) and U (Ultra High) = highest of the three.
  • Remember the powers of ten: HF 3–30 MHz, VHF 30–300 MHz, UHF 300–3000 MHz.
  • Don’t confuse kHz with MHz — UHF is in the MHz/GHz range, not kHz.

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What frequency range is referred to as HF?

  • 300 to 3000 MHz
  • 30 to 300 MHz
  • Correct Answer
    3 to 30 MHz
  • 300 to 3000 kHz

One thing that often confuses new hams is that the terms "HF," "VHF," and "UHF" actually refer to different parts of the radio spectrum, with "HF" or "High Frequency" referring to frequencies that are lower than VHF and UHF but are the highest of the lower bands commonly used by amateur radio operators. In other words, HF frequencies may be called "high frequency," but they are lower in frequency than "very high frequency" and "ultra high frequency".

HF is the band used for long-distance (often global) HF contacts because signals in this range can be reflected by the ionosphere. That defining range is 3 MHz to 30 MHz, which is why this range is referred to as HF.

Although frequencies from 300 kHz to 3000 kHz exist, they are in the Medium Frequency (MF) range and are very rarely used by hams.

Memory aids / quick reference:

  • LF (Low Frequency): 30 kHz to 300 kHz
  • MF (Medium Frequency): 300 kHz to 3000 kHz
  • HF (High Frequency): 3 MHz to 30 MHz
  • VHF (Very High Frequency): 30 MHz to 300 MHz (includes the popular 2 meter band at 144–148 MHz)
  • UHF (Ultra High Frequency): 300 MHz to 3000 MHz

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What is the approximate velocity of a radio wave in free space?

  • 150,000,000 meters per second
  • Correct Answer
    300,000,000 meters per second
  • 300,000,000 miles per hour
  • 150,000,000 miles per hour

Radio waves are electromagnetic waves, so in free space they travel at the speed of light, about 3 × 10^8 meters per second (300,000,000 m/s). This is the standard approximate value used for calculating relationships between frequency and wavelength.

Memory aids / quick tricks:

  • Use 300 (million) divided by frequency in MHz to get wavelength in meters: wavelength (m) ≈ 300 / frequency (MHz).
  • Example: 150 MHz → 300 / 150 = 2 meters (the 2-meter band).
  • Think “300 million m/s” or “3 × 10^8 m/s” as the speed of light in vacuum.

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Which of these frequencies travels at the highest velocity in free space?

  • Microwaves
  • UHF
  • VHF
  • Correct Answer
    All radio frequencies travel at the same velocity

Radio frequencies are literally the same type of wave as light; just like all light travels at the same speed in a vacuum, so too radio frequencies travel at the same speed in free space.

The “in free space” part is important, since waves at different frequencies may be affected differently when traveling through materials such as water or glass. In a vacuum, however, all electromagnetic waves—radio or light—travel at the same speed.

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