Speed of a propagating electromagnetic field?

In summary, the conversation discusses the measurement of the speed at which magnetic fields propagate. It is mentioned that this can be done by measuring the phase difference in the magnetic field using two synchronized atomic clocks or by using search coils to detect the frequency of the AC passing through a loop. The speed of electromagnetic waves has been measured with increasing accuracy for several hundred years and is independent of their frequency. The theory and past evidence support this idea, although it is not explicitly mentioned in references. The velocity of a transverse electric magnetic wave in an air-filled coaxial cable can be calculated using the equation v = (1/εoμo)^1/2, once it is accepted that the magnetic field is part of an EM wave.
  • #1
Exiguus
2
0
Hi, I'm wondering if there has been any actual experiments done to measure the speed at which magnetic fields propagate?
 
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  • #2
When you say "propagate" you must be referring to the effect of switching on or changing a magnetic field. You must 'mark it' in some way if you want to find its speed. Once you start to change a magnetic field, an Electric field is formed and then you have an Electromagnetic Wave. The speed of that has been measured with increasing accuracy for several hundred years.
 
  • #3
Yes, when turning on or altering a magnetic field created by a current. It seems to me when I read that it is more or less assumed it travels with the speed of light, but I cannot find any reference to accurately measuring that using 2 synchronised atomic clocks for example.
 
  • #4
But it's just a propagating em wave, isn't it? As I said, once you change the H field, an E field results. You can't have one without the other.
You don't need atomic clocks to measure the phase difference in the magnetic field which two search coils would pick up at different distances from a loop with AC passing through it. All you need is a reasonably good measure of the frequency of your AC and look at the phase with a suitable 'scope or timing mechanism. This sort of experiment has been done implicitly or explicitly on many occasions and in many different guises.
It always boils down to measuring the speed of em waves, which always proves to be independent of their frequency. You can either use an electric pickup ( a dipole) or a magnetic pickup (a loop). You get the same answer. I think you can't find references to what you say because it's sort of taken for granted, bearing in mind the theory and past evidence.
 
  • #5
It is easy to measure the velocity of a TEM (transverse electric magnetic) wave in an air-filled coaxial cable. It is [itex] v=\left[ \frac{1}{\epsilon_o \mu_o} \right]^{1/2} [/itex]
 
  • #6
Once you have accepted that the magnetic field is part of an EM wave, that is.
 

FAQ: Speed of a propagating electromagnetic field?

What is the speed of a propagating electromagnetic field?

The speed of a propagating electromagnetic field is the speed at which electromagnetic waves, such as light, travel through a vacuum. This speed is approximately 299,792,458 meters per second, or about 670,616,629 miles per hour.

Is the speed of a propagating electromagnetic field constant?

Yes, the speed of a propagating electromagnetic field is constant in a vacuum. This means that it does not change regardless of the frequency or wavelength of the electromagnetic waves.

How does the speed of a propagating electromagnetic field compare to the speed of sound?

The speed of a propagating electromagnetic field is significantly faster than the speed of sound. While the speed of sound is approximately 343 meters per second, the speed of light is nearly 874,030 times faster.

Can the speed of a propagating electromagnetic field be affected by external factors?

Yes, the speed of a propagating electromagnetic field can be affected by the medium through which it is traveling. For example, the speed of light is slower when traveling through a medium such as water or glass compared to traveling through a vacuum.

How is the speed of a propagating electromagnetic field related to the concept of time?

The speed of a propagating electromagnetic field is related to the concept of time through the theory of relativity. According to this theory, as one approaches the speed of light, time appears to slow down. This phenomenon is known as time dilation.

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