Login or Register for FREE!
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 EM wave looks like when you look down the length of it. One section is alternating up and down (positive and negative) and the other left and right (positive and negative). Wikipedia has a good illustration and explanation

Easy way to remember is to recall a plus sign. It's all right angles, so is are the parts of the wave!

Last edited by bettergears. Register to edit

Tags: none

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

There's always an electric and magnetic field to a radio wave, and they're oriented 90 degrees to each other. You could use either magnetic or electric to define polarization, but it's conventional to use the electric field (not the magnetic field, or a ratio).

Polarization has nothing to do with the velocity of a radio wave, hence the ratio of velocity to wavelength has nothing to do with polarization.

Last edited by liamwright50. Register to edit

Tags: arrl chapter 4 arrl module 8

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 also sometimes referred to as electromagnetic waves because they are made up of both electric and magnetic fields.

For this reason a capacitor (which stores energy in an electric field) and an inductor (which stores energy in a magnetic field) can both be used to help tune an antenna. Some antennas incorporate one or both as part of the design and antenna tuners utilize variable capacitors and inductors to function.

AC and DC are different types of current and have little or nothing to do with radio waves; Voltage and current are components of power and may be used to produce radio waves but do not comprise them.

Ionizing and non-ionizing radiation is probably the most confusing distractor but don't fall for it - that's not it either =]

Last edited by mlev. Register to edit

Tags: definitions radio waves arrl chapter 4 arrl module 8

What is the velocity of a radio wave traveling through free space?
  • Correct Answer
    Speed of light
  • Speed of sound
  • Speed inversely proportional to its wavelength
  • Speed that increases as the frequency increases

All electric, magnetic, and electromagnetic waves travel at the same speed. This includes light waves, radio waves, electrical waves, and magnetic waves.

Sound waves are a different story.

Just remember that radio waves and light waves are actually not all that different when it comes down to it; they're just a different frequency. They travel at the same speed.

Last edited by kd7bbc. Register to edit

Tags: radio waves arrl chapter 2 arrl module 2

What is the relationship between wavelength and frequency?
  • Wavelength gets longer as frequency increases
  • Correct Answer
    Wavelength gets shorter as frequency increases
  • Wavelength and frequency are unrelated
  • Wavelength and frequency increase as path length increases

The shorter the wavelength, the higher the frequency. Hence, frequency and wavelength are inversely proportional to each other. Wavelength measures the distance between each peak. Higher the frequency, the more peaks there are. Frequency measures the amount of peaks.

To visualize this, think about how you would graph a wave (radio waves are graphed as sine waves). The distance left to right represents time, and the distance from one peak of the wave to the next is the wavelength and each time you reach the peak again is one cycle. The frequency is the number of cycles per second; thus, if you have more cycles in the same distance (higher frequency), the distance between peaks (wavelength) will be shorter.

Last edited by kd7bbc. Register to edit

Tags: radio waves frequencies arrl chapter 2 arrl module 2

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{ m/s}\\ \lambda_\text{ (meters)} &= \frac{ 300 \text{ m/s} }{ f_\text{ (MHz)}}\\ \end{align}

Easy memory tip - The number "300" appears in the middle of the correct answer.

Last edited by alden.hunt@gmail.com. Register to edit

Tags: math radio waves frequencies formulas arrl chapter 2 arrl module 2

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

This is a common part of Ham vocabulary. You'll hear something like: "I was talking on the 2-meter band last night..", which actually means they were talking somewhere between 144Mhz and 148Mhz (the authorized frequencies with a 2-meter wavelength). Other common terms are 33cm (the 902Mhz band), 70cm (the 440Mhz band), etc. Each frequency range has a corresponding wave-length that hams will refer to.

Last edited by glitteribbon. Register to edit

Tags: radio waves frequencies arrl chapter 2 arrl module 2

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" actually refer to different parts of the spectrum, with "HF" or "High Frequency" actually referring to frequencies that are the lowest commonly used by Amateur Radio Operators.

The range are thus:

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

Last edited by rjstone. Register to edit

Tags: frequencies memorizing vhf arrl chapter 2 arrl module 2

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

One thing that often confuses new hams is that the terms "HF," "VHF," and "UHF" actually refer to different parts of the spectrum, with "HF" or "High Frequency" actually referring to frequencies that are the lowest commonly used by Amateur Radio Operators.

The ranges are thus:

  • HF (High Frequency) is from 3MHz to 30MHz
  • VHF (Very High Frequency) is from 30MHz to 300MHz (and includes the popular 2M band at 144-148MHz)
  • UHF (Ultra High Frequency) is from 300MHz to 3000MHz Do not get confused by the kHz option; it is in MHz, not kHz

Last edited by frozenfoxx638. Register to edit

Tags: frequencies memorizing uhf arrl chapter 2 arrl module 2

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 spectrum, with "HF" or "High Frequency" actually referring to frequencies that are the lowest commonly used by Amateur Radio Operators. In other words, HF frequencies may be "high frequency", but they are lower frequency than "very high frequency" and "ultra high frequency".

300 to 3000 KHz are very rarely used by hams, but that would be the "Medium Frequency" or MF band.

The ranges are thus:

  • LF (Low Frequency) is from 30 kHz to 300 kHz
  • MF (Medium Frequency) is from 300 kHz to 3000 kHz
  • HF (High Frequency) is from 3 MHz to 30 MHz
  • VHF (Very High Frequency) is from 30MHz to 300MHz (and includes the popular 2M band at 144-148MHz)
  • UHF (Ultra High Frequency) is from 300MHz to 3000MHz

Last edited by vaughndeastman. Register to edit

Tags: frequencies memorizing hf arrl chapter 2 arrl module 2

What is the approximate velocity of a radio wave in free space?
  • 150,000 meters per second
  • Correct Answer
    300,000,000 meters per second
  • 300,000,000 miles per hour
  • 150,000 miles per hour

This is a useful number to know; it is, of course, the speed of light or approximately

\begin{align} 3\times10^8 \text{m/sec} = 300,000,000\text{ m/sec} \end{align}

One really useful thing about this number is that it comes out to the same range as "Mega" (6 zeros after 300), so it can be used as a quick way to calculate wavelength in MegaHz (MHz).

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.

Last edited by rjstone. Register to edit

Tags: radio waves memorizing arrl chapter 2 arrl module 2

Go to T3A Go to T3C