BCalculate Speed of Electrons/Current in Circuits - Sparky_B

  • Thread starter Thread starter Sparky_
  • Start date Start date
  • Tags Tags
    Current Speed
AI Thread Summary
The discussion focuses on calculating the velocity of electrons and current in circuits, emphasizing the concept of drift velocity. It clarifies that while electrons move slowly, the electric field propagates at nearly the speed of light, allowing current to flow almost instantaneously. Resistance affects electron movement by causing collisions with atomic nuclei, converting kinetic energy into thermal energy. The conversation also notes that dielectrics, being insulators, do not facilitate electron movement in the same way as conductors. Overall, understanding these dynamics is crucial for analyzing current flow and resistance in electrical circuits.
Sparky_
Messages
227
Reaction score
5
Greetings,

I would think this question belongs in a "Electro-magnetics" section, if it is not relevant in this section please move it accordingly.

How can I calculate the velocity of the electrons or the current within a circuit?

Meaning, how can I show how resistance affects the speed of the current?

How can I show how various conductors affect the speed of individual electrons or current?

Likewise for various dielectrics?

Thanks
Sparky_
 
Physics news on Phys.org
Sparky_ said:
How can I calculate the velocity of the electrons or the current within a circuit?

How can I show how various conductors affect the speed of individual electrons or current?

You might want to note that the speed of the current is not the same as the speed of the electrons.

The drift velocity of the electrons mentioned by Ben Niehoff is *snails pace*. It would take something like a year or so for a single electron to cover the distance from the plug to the household applicant, assuming it runs on DC. In an AC circuit the average drift velocity of the electrons are zero.

But the electric field that drives the electrons propagates through the wire at near speed of light, so *all* conduction electrons in the wire begins to move at nearly the same instant, and thus the speed of the current would be the speed of light in the appropriate medium.

Also, it doesn't really make sense to speak of electron speed or current speed in dielectrics, as a dielectric by definition is a insulator. Still, the electric field propagates with the speed of light in the given dielectric.
 
why don't the electrons themselves travel , aren't they free to travel or are they only free to "roam" about their atoms ?

what does resistance do in the atomic level?

i hope sparky doesn't consider this as high jacking his thread...?!
 
AhmedEzz said:
why don't the electrons themselves travel , aren't they free to travel or are they only free to "roam" about their atoms ?

what does resistance do in the atomic level?

THe electrons are free to move, but their motion is by far dominated by the random thermal fluctuations, but these average to zero, so it is net displacement of an electron when you apply the electric field that is referred to as the drift velocity

As for resistance, the electrons colide with the massive nuclei as the move through the wire, transfering their kinetic energy to thermal energy as they go. Picture it, if you like as you driving your car with constant acceleration, but being forced to stop at red light at every 50 meters
 
This is from Griffiths' Electrodynamics, 3rd edition, page 352. I am trying to calculate the divergence of the Maxwell stress tensor. The tensor is given as ##T_{ij} =\epsilon_0 (E_iE_j-\frac 1 2 \delta_{ij} E^2)+\frac 1 {\mu_0}(B_iB_j-\frac 1 2 \delta_{ij} B^2)##. To make things easier, I just want to focus on the part with the electrical field, i.e. I want to find the divergence of ##E_{ij}=E_iE_j-\frac 1 2 \delta_{ij}E^2##. In matrix form, this tensor should look like this...
Thread 'Applying the Gauss (1835) formula for force between 2 parallel DC currents'
Please can anyone either:- (1) point me to a derivation of the perpendicular force (Fy) between two very long parallel wires carrying steady currents utilising the formula of Gauss for the force F along the line r between 2 charges? Or alternatively (2) point out where I have gone wrong in my method? I am having problems with calculating the direction and magnitude of the force as expected from modern (Biot-Savart-Maxwell-Lorentz) formula. Here is my method and results so far:- This...
Back
Top