Electric fiel of wire carrying current

AI Thread Summary
Current-carrying wires do have an electric field, which is often overlooked in static analyses. This electric field is essential for the flow of current within the wire. In the case of alternating current, the current is influenced by electromagnetic waves that propagate between the wire and its ground. While a perfect conductor would confine currents to its surface, realistic conductors can also exhibit this behavior. Understanding these concepts is crucial for analyzing the behavior of electric fields around conductors.
waqarrashid33
Messages
76
Reaction score
0
Is current carrying wire have any electric field?
 
Physics news on Phys.org
Yes, there is usually an implicitly applied electric field in the wire itself that gives rise to the current. Usually this electric field is ignored for the purposes of a simple static problem. However, if we have an alternating current, then this current is excited by an electromagnetic wave that propagates between the wire and the return/ground. This electromagnetic wave permeates the space around the wire. By convention, we do not regard the fields to penetrate the wire. A perfect conductor restricts all currents to the surface of the wire and prevents any fields from being present inside the wire. A realistic conductor can still be reasonably estimated to have this property as well.
 
See this:

author = "Assis, A. K. T. and Rodrigues, W. A. and Mania, A. J.",
title = "The electric field outside a stationary resistive wire carrying a constant current",
journal = "Foundations of Physics",
year = 1999,
volume = 29,
number = 5,
pages = "729-753",

(I am not an author)
 
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