EMI - induced current on two parallel wire

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Discussion Overview

The discussion centers on quantifying electromagnetic induction (EMI) in a circuit involving two parallel wires. Participants explore the conditions under which a change in current in one wire can induce a current in another, including the role of magnetic flux and the effects of inrush current.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested

Main Points Raised

  • One participant presents a formula for flux linkage and expresses confusion about how it induces a current in the second wire.
  • Another participant clarifies that a constant current does not induce a current in a second wire, emphasizing the need for a change in current.
  • A participant acknowledges the role of inrush current in their scenario and seeks to understand how to calculate the change in current on wire 2 due to changes in wire 1.
  • It is suggested that a change in magnetic flux can also induce current, not just a change in current itself.
  • A participant introduces Faraday's law to calculate the induced emf on wire 2 and mentions the need for additional information to provide a complete answer.
  • Discussion includes the concepts of inductive and capacitive crosstalk, noting that both types of coupling should be considered in calculations.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the exact method for calculating the induced current, with multiple viewpoints on the necessary conditions for induction and the factors to consider in the calculations.

Contextual Notes

Participants express uncertainty about the specific setup and parameters needed for accurate calculations, including the nature of the current change and the resistance of wire 2.

jewhitmo
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I would like to quantify the EMI on a circuit and I am confused on how to do that. I have two parallel wires that are laying on top of each other. I have tried to calculate the flux linkage and came up with:

[tex]\Lambda[/tex] = [l*[tex]\mu[/tex]o*I/(2pi)]*ln((d-a)/a)

where a=radius of each wire, d=distance between the center of the wires, l=length of the wires, I=current on wire 1, and [tex]\mu[/tex]o*=permeability of free space.

I don't understand how this would induce a current on wire 2 though.

I'd really appreciate any help with this issue.

Thanks,
J
 
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A constant current will not induce a current in another wire; induced current is proportional to the change in the original current.
 
Thank you for your reply. You are right. I'm sorry I forgot to indicate that the problem is occurring because inrush current. So, there would be a change in current. Do you know how to calculate the change in current on wire 2 due to a change in current on wire 1?
 
It depends on how exactly the current is changing. You don't necessarily need a change in current; a change in magnetic flux through some pre-defined surface or where magnetic flux lines are being cut suffices as well.
 
If I could measure exactly how the current is changing on wire 1 do you know how I would be able to calculate the change in current on wire 2? Does the flux linkage equation apply here? If so, how does it translate into a change in current on wire 2?

Thanks!
 
You have to use Faraday's law here:
[tex]Emf = -\frac{d\Phi_B}{dt}[/tex].
So this gives you the induced emf on wire 2. To get the induced current, divide emf by resistance of wire 2. That's all I can say if you don't provide any more information on the setup.
 
You can have both inductive and capacitive crosstalk. The capacitive crosstalk is just coupling from wire-to-wire. Inductive coupling requires tso loops to couple the energy. So don't ignore the return paths of the wires in your inductive crosstalk calculation.
 
thanks for the responses.
 

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