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If photons are the carriers of the electromagnetic force, why isn't electricity made of photons?
Or, why isn't every electromagnetic effect described in terms of photons, if they are the ones carrying the EM force?
Eg. why isn't the electromotive force called the photon force, if it's mediated by photons?

This is a sort of continuation of this.

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If photons are the carriers of the electromagnetic force, why isn't electricity made of photons?

Who says it isn't?

I'm being a little facetious here, but the question "what is electricity made of?" is very philosophical. We often think of electricity as being made of electrons; but for example, in an electrolyte solution it may instead be carried by positive or negative ions. And in principle you can use any moving charge -- instead of electrons you could use muons or positrons. And when electricity travels through a capacitor, we speak of "displacement current", but no charges pass through the capacitor at all, electrons or otherwise; only the electric field changes. And when current in one side of a transformer induces current in the other side, again no charges go across; only the magnetic field changes.

So in all these cases, there is electric current; but it's not necessarily being carried by electrons, or even by moving charges in any obvious way. What IS always involved is the electromagnetic field, in every single case.

The involvement of "photons" is trickier. I'm not a particle physicist, nor do I understand QFT. (Nor am I really any kind of physicist, although I have a minor in physics on my computer science degree.) But ultimately the electromagnetic field is "really" a field; sometimes it's easiest to think in terms of particles, but sometimes it really is not. At relatively low frequencies, like you see in lots of electric circuits, the "wavelengths" of any "photons" involved might be measured in kilometers. That feels to me like it's very hard to think about. (The speed of light, in appropriate units, is 300 megahertz * meters. If your AC signal is a sine wave at 60 hertz, the wavelength of the "photons" involved is around 5000 kilometers, a little less than the radius of the Earth. Those are very squishy and delocalized "particles".)

On the flip side, though -- when your signal frequencies get very high, it starts being very reasonable to think about photons. If you have a 100 meter long coaxial cable, and you're using it to transmit a signal at 30 gigahertz, now your photon wavelength is just a centimeter, which is a tiny fraction of the distance your signal is going. In this case, we can talk about the cable as a long cylindrical "waveguide", and we talk about the "propagation modes" of the photons traveling along it. There of course are still electrons moving in the central and outer conductors, but we often think instead about photons traveling in the dielectric (the insulator) between the two. Of course, photons going through a dielectric medium like this behave differently than they do in vacuum. But not that differently -- the effective speed of light (the speed of signal transmission) in coaxial cable is anywhere from 2/3 to 90% of the speed of light in a vacuum.

(If you want a slightly clickbait treatment of this concept, take a look at this Veritasium video: https://youtu.be/bHIhgxav9LY You can see in the preview the clickbait lede of the video: "Electricity doesn't flow in wires". This is precisely about the conception of electricity as being carried by the photons, in the insulators, rather than by the electrons in the wires.)

And if we then attach the coaxial cable to an antenna, we really start considering photons pretty seriously. In the cable we try very hard to keep the photons contained, and interacting only inside the cable, but the antenna's purpose is the opposite -- to "leak" photons from the electrical signal into the air, in preferred directions, as effectively as possible.

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    $\begingroup$ I'm not sure whether I like this analogy enough to include it in the answer, but I keep coming back to it, and I can't resist: Electricity is carried by electrons in the same way that gravity is carried by your legs. $\endgroup$ Commented 22 hours ago
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Electricity and other electromagnetic effects happen because tiny particles called electrons move and interact with each other. At the very small, quantum level, these interactions are carried by photons, which are the particles that transmit the electromagnetic force. Most of the photons involved in everyday electricity are virtual photons, which means they are invisible and only exist while transferring the force between charges—they aren’t like the photons of light that we can see.

When lots of electrons interact together, their combined effect shows up as voltage, current, or emf, which we can measure and use in circuits. So, even though photons are behind the scenes causing the forces between charges, we only experience the overall effect as electricity. That’s why we don’t call it a “photon force.”

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    $\begingroup$ which means they are invisible What does this mean? They do not interact with anything? They are not subject to any forces? $\endgroup$ Commented 2 days ago
  • $\begingroup$ It means the virtual photons are created in the context of the interaction (of, say, two electrons), and disappear by the end of it. Their lifecycle is tied to the interaction and they don't get to "fly off" into space like the kind of photons we correlate with visible light. en.wikipedia.org/wiki/Virtual_particle @WoJ $\endgroup$ Commented 2 days ago
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    $\begingroup$ So my refrigerator is running on virtual photons, which can’t be seen and carry no energy. Clear. $\endgroup$ Commented yesterday
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If photons are the carriers of the electromagnetic force, why isn't electricity made of photons?

From a classical point of view, electricity arises from continuous fields. Quantum mechanically, electromagnetic forces are mediated by virtual photons. These are not real particles, and have not been detected. They are only mathematical constructs, not actual, physical packets of light, therefore electricity isn't "made of photons".

Eg. why isn't the electromotive force called the photon force, if it's mediated by photons?

We don't call emf the "photon force" because no "real" photons are involved.

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  • $\begingroup$ I think they have been detected; I'm pretty sure you could make a case that bremsstrahlung counts. They become real photons in that case, not virtual ones, but they are still photons acting to mediate the electromagnetic force, no? $\endgroup$ Commented 19 hours ago

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