# Why does a remote car key work when held to your head/body?

I was trying to unlock my car, but I was out of range. A friend of mine said that I have to hold the transmitter next to my head. It worked, so I tried the following later that day:

• Walked away from the car until I was out of range
• Put key next to my head (it worked)
• Put key on my chest (it worked)
• Put key on my leg (didn't work)

So first I thought it has to do with height. But I am out of range if I use the key at the same height as my head but not next to it, and normally my key is at the same height as my chest. So it has nothing to do with height.

Or my whole body is acting like an antenna, but how is that possible if I am holding the key? Why would it be an antenna if I hold it against my head and not in my hand?

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here is some sort of explanation. –  Wojciech Mar 4 '14 at 15:22
You left your tin foil hat on? :-) –  Carl Witthoft Mar 4 '14 at 15:25
–  Glen The Udderboat Mar 4 '14 at 17:13
If you really want an answer to this, you should ask an engineer, not a physicist. –  Phil Frost Mar 5 '14 at 20:02

This is a really interesting question. It turns out that your body is reasonably conductive (think salt water, more on that in the answer to this question), and that it can couple to RF sources capacitively. Referring to the Wikipedia article on keyless entry systems; they typically operate at an RF frequency of $315\text{ MHz}$, the wavelength of which is about $1\text{ m}$. Effective antennas (ignoring fractal antennas) typically have a length of $\frac{\lambda}{2}=\frac{1}{2}\text{m}\approx1.5\text{ ft}$.

So, the effect is probably caused by one or more of the cavities in your body (maybe your head or chest cavity) acting as a resonance chamber for the RF signal from your wireless remote. For another example of how a resonance chamber can amplify waves think about the hollow area below the strings of a guitar. Without the hollow cavity the sound from the guitar would be almost imperceptible.

Edit: As elucidated in the comments, a cavity doesn't necessarily need to be an empty space; just a bounded area which partially reflects electromagnetic waves at the boundaries. The area occupied by your brain satisfies these conditions.

Edit 2: As pointed out in the comments, a string instrument is significantly louder with just a sounding board behind the strings, so my analogy, though true, is a bit misleading.

Edit 3: As promised in the comments, I made some more careful measurements of the effect in question, using a number of different orientations of remote position and pointing. I've posted these as a separate answer to this question.

Edit 4: the reason has to do water. That's just in the microwave range. Areas of your body with high water content will reemit or cancel out a portion of the original signal. With a meter wavelength, when you hold it away from your body at roughly 1/2 a meter, any waves absorbed and reemitted by your body will interfere with the original source. now if you hold the source next to a high water content area of your body, the waves coming from the source, and your body (as re emitted waves) will interfere constructively and have increased range. Keep in mind, this is only a small effect, and won't increase range dramatically, but enough to notice. If the waves were out of microwave range, the effect would take place. This explains it better: https://m.youtube.com/watch?v=0Uqf71muwWc

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Are you accusing OP of having a hole in his head? –  Ross Millikan Mar 4 '14 at 17:57
@RossMillikan define hole ? A difference in desnisty (bone versus grey matter) –  anna v Mar 4 '14 at 18:01
@RossMillikan As Anna said, a cavity doesn't necessarily need to be a completely empty space in this instance. I edited the post to make it more clear what I meant by a cavity. –  Chris Mueller Mar 4 '14 at 18:29
@PhilFrost Valid point. The soundboard makes a string instrument significantly louder with or without a resonance cavity. I therefore admit that my analogy was a bit misleading. However, coloring the sound means precisely making some frequencies louder relative to others, so my analogy is not inaccurate. –  Chris Mueller Mar 5 '14 at 13:54
@called2voyage Indeed, I had also noticed that. His answer agrees with Phil Perry's answer on this question. The good thing is that these two can be distinguished with a careful experiment. I promise to do the experiment when I get home next week and post the results here by Friday evening (of next week). –  Chris Mueller Mar 5 '14 at 21:34

As promised in the comments to my answer, I went out and measured the effect in a number of different configurations (a couple of days later than promised :-)). For those of you who just want the conclusions, here they are:

The remote seems to work better when held to the head though the improvement isn't as marked as one might have expected from a google search of the topic. The best possible orientation seems to be to hold the remote flat against your temple. If you aren't willing to hold it to your head, pointing it at the vehicle seems to work better than pointing it up, and there doesn't seem to be much dependence on how high you hold it. Finally, holding the remote to your chest is worse than just holding it at arm's length.

# The Experiment

I chose six different positions in which to hold the remote, and in each of those positions I held the remote in two different orientations (described in the list below). In each position/orientation I clicked the remote 3 times, waiting a few seconds between clicks. I recorded the number of times out of 3 that the car responded to my click.

The car, a 2009 Volkswagen GTI, was parked sideways. Temperature: 70.5$^\circ$ F; Barometric Pressure: 29.75 inHg; Humidity 86%; Winds: ~5 mph. There were no large structures around accept for the concrete encased stainless steel vacuum tube of the LIGO Livingston Interferometer which runs parallel to the measurement axis and extends for kilometers in both directions. The battery in my remote is a bit old, but I tried to keep my clicks evenly spaced and began with several discarded clicks to try and cancel out battery effects.

The different orientations are documented in the picture below, but here is a description

• Low (Foward/Up): Held down by my leg pointing the remote towards the vehicle or pointing it directly up into the sky.
• Middle (Forward/Up): Held my arm extended to the right pointing the remote towards the vehicle or pointing it directly up into the sky.
• High (Forward/Up): Held my arm high above my head pointing the remote towards the vehicle or pointing it directly up into the sky.
• Chin (Pointed/Flat): Held against my chin either pointed up into my chin or flat against my chin.
• Temple (Pointed/Flat): Held against my temple either pointed into the temple (like a salute) or held flat against my temple.
• Chest (Pointed/Flat): Held at the center of my chest pointed towards my chest or held flat against it with the remote pointing up.

# The Results

In table form:

and graphically:

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Good job! Nice experiment and thanks for your effort! –  SWeer Mar 16 '14 at 17:35

The way it works has nothing to do with your body. Remotes have their antenna as a more or less circular trace on the board (a loop antenna). The strongest signal is when the top or base of the remote is pointed at the receiver. The weakest signal is when the fob is pointed 90 degrees away, such as when pointing it like a TV remote. Guess which way most people point it? Guess which way it's pointing when you hold it to your chin?

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Hm I will try it and let you know if there is any difference. –  SWeer Mar 5 '14 at 7:07
I too am curious which explanation is correct. Some experiments are in order. –  Chris Mueller Mar 5 '14 at 13:56
You can easily verify it with your own car - simply "pointing" the flat side of the remote does not work nearly as well as holding it to your head. –  neonzeon Mar 5 '14 at 15:41
@neonzeon If the radiation pattern of the remote is that of an ideal electrically small loop, then maximum gain is in the plane of the loop. Rotating the antenna to achieve the same polarization as the receiving antenna in the car (which could be anything) is also significant. Your fingers, the Earth, the body of the car, and any other conductive objects within sight will cause (probably very significant) deviations from this ideal, simplified model. Fact is, if the remote doesn't work in one orientation, it just might work in some other orientation, like under your chin. –  Phil Frost Mar 5 '14 at 19:45
@neonzeon: Except when the fob is in outstretched hand, it is mostly horizontal and should have decent reception while when it's held to one's head, it is almost certainly pointing the flat side at the car, the worst possible orientation. –  Jan Hudec Mar 5 '14 at 21:12

Remote "key fob" designers intentionally limit size so they conveniently fit in your pocket.

However, the convenience comes at a big price - the tiny loop antenna inside is extremely inefficient, transmitting less than 10% of the energy pumped into it, while the rest is simply converted into heat.

When holding your remote to your head, your arm, shoulder and head form a much larger "body loop" antenna which is almost 100 times more efficient than the remote's antenna.

Then, just like in a transformer, the small single "winding" of the small loop magnetically couples with the larger, nearby single "winding" of your "body-loop".

The magnetic coupling between these two antennas is not great, but it's good enough to make the combination antenna around 2x to 3x better than the remote alone, resulting in a notable improvement in operating range.

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The great Alan Bensky has a nice article on magnetically coupled loops. –  neonzeon Mar 5 '14 at 15:27
I won't believe that a human head makes a more efficient antenna than the loop in the remote without data to back it up. While a head is much bigger, and if conditions are just right, radiation resistance will be higher, a human head is also much less conductive than copper. Maybe your explanation is correct, but as it stands, with no sources, and no data, -1 for unsubstantiated guessing. –  Phil Frost Mar 5 '14 at 17:58
It's also quite possible to make electrically small loops with efficiencies greater than 1%. An efficient antenna isn't at the top list of engineering priorities for a car remote (cost is probably higher), but again, you have cited no sources. –  Phil Frost Mar 5 '14 at 18:01
The key issue is the surprisingly low radiation resistance of a key fob antenna. This article calculates it as 0.0227 Ohm (page 2). The "body-arm-head" loop radiation resistance is TENS of ohms - 100x to 1000x larger. –  neonzeon Mar 6 '14 at 2:36
Radiation resistance alone is not a measure of antenna efficiency. Rather, (efficiency) = (radiation resistance) / (radiation resistance + all other losses). A loop of copper is going to have a much lower ohmic loss than a body-arm-head. Water (such as in said body-arm-head) also experiences significant dielectric loss, where the copper antenna does not. Without doing any measurements, it's not hard to imagine losses being 100x to 1000x higher in a human body compared to a copper loop. –  Phil Frost Mar 6 '14 at 12:26

I don't think that holding the fob to the head does much good, but what does make a huge difference is holding it high up. The simplest flat plane multipath reflection model predicts that the received power is proportional to $$\left(\frac {h_1 h_2}{R^2}\right)^2$$ where $h_1$ and $h_2$ are the heights of the transmit and receive antennas and $R$ is the distance between them. Antenna height makes an enormous difference in reception quality. (Also at lower heights there is much more scattering from everything around that is ignored in the formula.) Absorption loss is almost nil at usual fob frequencies. A small (relative to wave-length) antenna does get detuned by reflective (metallic) bodies in their neighborhood (within a wavelength, or so, 450MHz ~ 66cm) but the antenna pattern (radiation shape) does not change much by absorbers nearby it except in the direction of the absorbers themselves. A human body being mostly salt water is a lousy radiator and reflector but not the head that is a pretty good dielectric compared to the rest.

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While this may not provide the full answer. This video will help to explain how water acts as an amplifier for the signal.

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Unfortunately I can't remember where I read this, but I recently read a theory/explanation that it's merely because the key is being held higher up.

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Are you sure holding it to your head really makes it better? Your experiment is very poorly designed because you have only sampled instances where the remote wasn't working when your head wasn't in the picture. This is blatant selection bias.

No doubt, putting the remote near your head (or anything else conductive) will significantly alter the electromagnetic radiations of the remote. But is it better, or just different? If it wasn't working to start, then you changed something, then it worked, that doesn't mean it's better. You need to also try holding it to your head, then find instances where that doesn't work, then try using the remote normally.

It's a common flaw in human reasoning at work here. People like to attribute success in some random or complex process to some ritual (in this case, putting the remote on your head) rather than simply realizing the success was due to an unrelated perturbation of the system, or simply another trial. Here's a familiar (at least, to people of the right age) instance of this flaw:

The NES had game cartridges that were notoriously unreliable. The culprit was a cheaply designed electrical contact. Child wisdom had it that taking the cartridge out, vigorously blowing into the cartridge, and putting it back in would fix it. Each clan of children probably had some variation on this ritual, with important details, such as pushing the cartridge up and down a couple times, shaking the cartridge, leaving the door open, pressing the reset button multiple times, and so on. In reality, removing and re-inserting the cartridge and rebooting the NES just introduced another trial, and eventually it worked. The rest is insignificant ritual and superstition. (But don't tell any kids from the 80's that -- they won't believe you!)

Perhaps, by virtue of your head's increased size, it makes a more efficient antenna. It's also possible, by virtue of your head's lower conductivity compared to copper, that it's a less effective antenna. It's also possible your head will act as a reflector, directing more of the radio's energy at the car. It's also possible your head will refract the waves away from the car.

The point is we don't know. All the research I've done turns up anecdotal evidence at best, by people who are not RF engineers performing similarly poorly designed experiments, or people who have talked to "an expert". I've never seen data collected by a qualified engineer with proper test equipment.

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-1 For an angry rant. Don't you think it would be more productive to go out to your car and test it for yourself? We would be more interested in seeing the results of your own experiment than getting angry rants about how the OP wasn't careful enough with his. –  Chris Mueller Mar 5 '14 at 21:58
@ChrisMueller Who said it was angry? Sure, I could test it on my car, but that would be a poor experiment also, due to the extreme lack of precision in measurement, and huge number of uncontrolled variables. There are people who do this sort of thing for a living, and they are called EMC engineers. Unfortunately, unless you know one willing to dedicate some time and a few hundreds of thousands of dollars of test equipment, you may never get a real answer. –  Phil Frost Mar 5 '14 at 22:06
Just now tested with Toyota remote, Keithley RF power meter & 1/4-wave antenna at range=1.3 meters: No loop: -59 dBm received. With body loop: -55 dBm. So, 2.5 times more power from the body loop which equates to 1.5 times more range. In line with many similar experiments ran in the past. –  neonzeon Mar 6 '14 at 3:24
@neonzeon That's interesting. Perhaps you could elaborate on your test setup in your answer. Or perhaps you could answer the engineering question directly. –  Phil Frost Mar 6 '14 at 12:33

## protected by Qmechanic♦May 31 '14 at 12:25

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