[SI-LIST] Re: Skin effect and Inductance

  • From: "Ransom Stephens" <ransom@xxxxxxxxxxxxxxxx>
  • To: <si-list@xxxxxxxxxxxxx>
  • Date: Tue, 9 Oct 2012 13:06:21 -0700

It originates from Lenz's law, the minus sign in Faraday's law of induction.

There's a tidy little description in this note, "Crossing the Digital-Analog
Divide," I wrote for Agilent:

http://cp.literature.agilent.com/litweb/pdf/5991-0168EN.pdf 
including the paragraphs:

It's nice to think of a PCB trace as simply the route that a signal takes
from transmitter to receiver and, at low data rates, it's not an
unreasonable concept. In the DC ideal, current flows in the conducting trace
with a constant magnetic field of cylindrical symmetry around the trace -
according to Ampere's Law. However, during logic transitions, the current
changes. Changing currents induce an electromotive force which creates eddy
currents within the conductor in a direction counter to the change -
according to Faraday's Law. The more abrupt the change, the faster the rise
or fall, therefore, the stronger the counter eddy current. At high data
rates, around 1 Gb/s, the signal current and the induced current begin to
cancel, and the net current is restricted to an ever thinner skin at the
conductor surface; the skin effect. 
The skin effect increases the effective resistance and reduces the
inductance of the circuit. Enhanced resistance causes loss. Reduced
inductance alters circuit impedance in a way that depends on PCB layout.
Impedance variations change the phases of the harmonics and subharmonics.
Those phases are what give analog waveforms their sharp-edged digital
character. As the phases vary, the signal degrades and reveals its messy
analog nature.

That'll get your hands waving with a conceptual understanding, then Dudi's
steps and you'll be a master.
Ransom
_____________________________
Ransom W. Stephens, Ph.D.
Content and Analysis

www.ransomsnotes.com

Measure of Things - Science & Technology blog at Test & Measurement World:
science from the perspective of a technologist, technology from the
perspective of a scientist 

Twitting @ransomstephens
LinkedIn, Facebook and all that stuff

> -----Original Message-----
> From: si-list-bounce@xxxxxxxxxxxxx [mailto:si-list-bounce@xxxxxxxxxxxxx]
> On Behalf Of Antonis Orphanou
> Sent: Tuesday, October 09, 2012 11:17 AM
> To: dudi@xxxxxxxxxxxxxxxxx; si-list@xxxxxxxxxxxxx
> Subject: [SI-LIST] Re: Skin effect and Inductance
> 
> I would concentrate on plane wave fundamentals:
> (1). how plane waves behave at the presence of lossy interfaces.
> (2). How the phase velocity and propagation constant change at the
> presence of lossy interfaces and material.
> (3). How does field penetration changes in the presence of loss.
> (3). How the above affect the field distribution in the conductor and
> hence R & L.
> 
> Any EM text-book can provide you with such basics.
> 
> 
> 
> -----Original Message-----
> From: si-list-bounce@xxxxxxxxxxxxx [mailto:si-list-bounce@xxxxxxxxxxxxx]
> On Behalf Of Dudi Tash
> Sent: Tuesday, October 09, 2012 6:03 AM
> To: si-list@xxxxxxxxxxxxx
> Subject: [SI-LIST] Skin effect and Inductance
> 
> Hi All,
> I'm looking for some elaborate material regarding the reason for the skin
> effect.
> 
> I know all about the losses and the actual outcome, but I'd like to
> explore more about the physical reasons for the creation of the skin
> effect. My main interest is in skin effect in PCB traces.
> 
> In one of the courses of one of the Guru's I was told that the skin effect
> appears due to the fact that the Inductance in the middle of the
> transmission lines are greater than the inductance on its periphery, and
> the AC signals look for lower loop inductances.
> 
> 
> 
> 1.       Can you approve this?
> 
> 
> 2.       Are there any other links, material that you can send?
> 
> 
> 3.       Explanations are most welcomed as well.
> 
> Thanks
> 
> Best Regards,
> Dgtronix Ltd. I Founder & CEO I Dudi Tash
> eFax: +972-3-7256490 I Mobile: +972-54-6345629 I Office: +972-9-9660967
> www.dgtronix-tech.com<http://www.dgtronix-tech.com/>
> 
> [cid:image001.jpg@01CDA62F.31543B90]<http://www.dgtronix-tech.com/>
> [cid:image002.jpg@01CDA62F.31543B90]
> 
> [cid:image003.jpg@01CDA62F.31543B90]
> 
> 
> *This email contains confidential and proprietary information of Dgtronix
> Ltd.*
> 
> 
> 
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