EMI - induced current on two parallel wire

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SUMMARY

This discussion focuses on quantifying electromagnetic interference (EMI) induced current between two parallel wires. The user initially calculated flux linkage using the formula \(\Lambda = \frac{l \mu_0 I}{2\pi} \ln\left(\frac{d-a}{a}\right)\), where parameters include wire radius (a), distance between wire centers (d), wire length (l), current (I), and permeability of free space (\(\mu_0\)). It was clarified that induced current on wire 2 is contingent upon changes in current on wire 1, specifically through Faraday's law, which states that induced electromotive force (emf) is equal to the negative rate of change of magnetic flux. The discussion also highlights the importance of considering both inductive and capacitive crosstalk in calculations.

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  • Understanding of Faraday's law of electromagnetic induction
  • Familiarity with electromagnetic theory and flux linkage calculations
  • Knowledge of inductive and capacitive coupling principles
  • Basic circuit analysis, including resistance calculations
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  • Research methods to measure current changes in parallel wire systems
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Electrical engineers, circuit designers, and anyone involved in analyzing or mitigating electromagnetic interference in wiring systems.

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:

\Lambda = [l*\muo*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 \muo*=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:
Emf = -\frac{d\Phi_B}{dt}.
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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