Electric and Magnetic Field Relationship at the Surface of a Wire

Click For Summary

Homework Help Overview

The problem involves calculating the ratio of the electric field to the magnetic field at the surface of a circular tungsten wire carrying a direct current. The wire's dimensions and resistivity are provided, and the participant is exploring the relationship between electric and magnetic fields in this context.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • The original poster attempts to apply the formula for the magnetic field inside a wire and questions the calculation of the electric field, expressing uncertainty about how to incorporate resistivity. Other participants provide feedback on the magnetic field calculation and suggest using Ohm's law for the electric field.

Discussion Status

Participants are actively engaging with the problem, with some providing clarifications and corrections. There is an indication of progress as one participant expresses understanding after initial confusion, although no consensus or final solution has been reached.

Contextual Notes

The discussion includes uncertainties regarding the application of formulas and the implications of the wire's circular geometry on the calculations. The original poster expresses feeling lost, indicating a need for further exploration of the concepts involved.

bmb2009
Messages
89
Reaction score
0

Homework Statement


A 0.60 m long circular tungsten wire with a radius of 0.05 m is connected to a DC power source resulting in a current of 0.65 A in the wire. Calculate the magnitude of the electric to magnetic field ratio at the surface of the wire. The resistivity of tungsten is 5.6 · 10-8 Ωm


Homework Equations



B(inside a wire) = μ*I/2∏R^2 * r where R = the radius of the wire and r = location within the wire radius... and since it is at the surface r=R.

Is that how you calculate the B field?

Also, I have no idea how to calculate the E field at the surface. I don't know how to relate resistivity into any of this. And does the I'm assuming the fact that it is a circle affects something but I don't know what.

I'm really lost on this problem so any response will be greatly appreciated!


The Attempt at a Solution

 
Physics news on Phys.org
Good on the B field except is r squared? For E, you can try applying Ohm's law to a short segment of the wire.
 
Well since the r=R R/R^2 should reduce down to just R correct? and do you mind expanding on that? I really don't know how to do that :/
 
Nevermind I got it! thanks though
 
Oh, you were correct on the R factor. Good.
 

Similar threads

Replies
12
Views
2K
  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 5 ·
Replies
5
Views
2K
  • · Replies 6 ·
Replies
6
Views
3K
  • · Replies 1 ·
Replies
1
Views
1K
  • · Replies 3 ·
Replies
3
Views
5K
  • · Replies 7 ·
Replies
7
Views
3K
Replies
2
Views
2K
  • · Replies 22 ·
Replies
22
Views
2K
  • · Replies 1 ·
Replies
1
Views
4K