Speed of electric potential in copper

In summary, Jason found several tutorials on transmission line propagation velocity. One suggests using distributed inductance and capacitance to model the system. Another suggests using the distributed L and C constraints to govern the propagation velocity.
  • #1
Jdo300
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Hello All,

Is there a way to predict the speed at which an electrical potential travels through a piece of copper wire? I know that the electrons themselves move very slowly (at the drift velocity), but how about the voltage potential itself? Are there any nifty equations out there to determine this? I know it's near the speed of light but so far, I haven't been able to find any actual values.

Thanks,
Jason O
 
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  • #2
That is governed by the transmission line equations:

http://en.wikipedia.org/wiki/Transmission_line

The propagation velocity is indeed a significant fraction of c. For most cables and transmission lines, it's about half of c or so.
 
  • #3
Hi Berkeman,

Thanks for the tip about the transmission lines. I'm not sure if I can apply these equations directly to what I'm doing though. What I'm working with is coils and I'm sure that the inductance and capacitance will affect the propagation speed. Do you know of any good equations that can help me determine the potential propagation speed through a coil? Also, I'm trying to see how using different materials for the propagation medium effects it. One thing I'm interested in seeing is how fast voltage propagates through iron/steel as well as copper.

- Jason O
 
  • #4
I googled transmission line propagation velocity tutorial, and got some good hits. This website appears to have many technical articles overall (maybe it's like wikipedia?), and this is the list of transmission line related pages:

http://www.educypedia.be/electronics/transmissionlines.htm

I clicked on the one link that talked about propagation velocity, and that got me here:

http://www.ycars.org/EFRA/Module%20C/TLChar.htm

The distributed inductance per unit length and distributed capacitance per unit length are how I think you should try to model your system. Even though what you have is not a traditional transmission line, the propagation velocity of the field waves is governed by the same distributed L & C constraints -- that's how the energy moves along.

Hope that helps. Good luck!
 
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FAQ: Speed of electric potential in copper

What is the speed of electric potential in copper?

The speed of electric potential in copper, also known as the speed of electricity or the velocity of propagation, is the rate at which an electrical signal travels through a copper wire or conductor. It is typically measured in meters per second (m/s).

How is the speed of electric potential in copper determined?

The speed of electric potential in copper is determined by the physical properties of copper, such as its conductivity and resistivity, as well as the characteristics of the electrical signal, such as its frequency and voltage. It can be calculated using the formula v = 1/√(με), where μ is the permeability of copper and ε is the permittivity of the surrounding medium.

Does the speed of electric potential in copper vary?

Yes, the speed of electric potential in copper can vary depending on the conditions. It is affected by factors such as temperature, impurities in the copper, and the presence of other materials in the surrounding medium. Generally, the speed of electric potential in copper is slower than the speed of light, but it can still travel at very high speeds.

How does the speed of electric potential in copper compare to other materials?

Copper is a good conductor of electricity, but it is not the fastest material for transmitting electrical signals. Some materials, such as silver and gold, have higher conductivity and therefore a faster speed of electric potential. Other materials, such as glass and air, have lower conductivity and a slower speed of electric potential.

Can the speed of electric potential in copper be increased?

Yes, the speed of electric potential in copper can be increased by using techniques such as increasing the purity of the copper, improving the design of the conductor, or using other materials with higher conductivity. However, the speed of electric potential in copper is limited by the fundamental properties of the material and can never reach the speed of light.

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