Electric and Magnetic Field Relationship at the Surface of a Wire

In summary, the conversation discusses calculating the magnitude of the electric to magnetic field ratio at the surface of a circular tungsten wire connected to a DC power source. The resistivity of tungsten is also mentioned. The equation for calculating the magnetic field inside a wire is provided, and the use of Ohm's law to calculate the electric field is suggested. The conversation concludes with the clarification that the R factor should be used in the equation for the magnetic field, and the person asking the question has figured out the solution.
  • #1
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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

 
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  • #2
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.
 
  • #3
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 :/
 
  • #4
Nevermind I got it! thanks though
 
  • #5
Oh, you were correct on the R factor. Good.
 

FAQ: Electric and Magnetic Field Relationship at the Surface of a Wire

What is the difference between an electric field and a magnetic field?

An electric field is a force field created by electrically charged particles, while a magnetic field is a force field created by moving electrically charged particles. Electric fields are present around static charged particles, while magnetic fields are present around moving charged particles.

How are electric and magnetic fields related at the surface of a wire?

At the surface of a wire, an electric field and a magnetic field are perpendicular to each other. This means that they are at a 90 degree angle, forming a right angle. The strength of the magnetic field at the surface of a wire is directly proportional to the strength of the electric current flowing through the wire.

What is the direction of the electric and magnetic fields at the surface of a wire?

The direction of the electric field is radially outward from the surface of the wire, while the direction of the magnetic field is tangential to the surface of the wire. This means that the electric field points away from the wire and the magnetic field wraps around the wire in a circular pattern.

Can electric and magnetic fields be separated at the surface of a wire?

No, electric and magnetic fields are always present together and cannot be separated at the surface of a wire. As mentioned before, they are perpendicular to each other and work together to create a force on charged particles in the wire.

How do the electric and magnetic fields at the surface of a wire affect the behavior of charged particles?

The electric and magnetic fields at the surface of a wire exert a force on charged particles, causing them to move. The electric field attracts or repels charged particles, while the magnetic field deflects charged particles in a circular motion. This is how electric currents are created and how electricity is transmitted through wires.

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