[SI-LIST] Re: Skin effect and Bessel function
- From: "Antonis Orphanou" <orphanou@xxxxxxxxxxxx>
- To: "dlhbf@xxxxxxx" <dlhbf@xxxxxxx>, "si-list@xxxxxxxxxxxxx" <si-list@xxxxxxxxxxxxx>
- Date: Thu, 2 Aug 2012 23:09:57 +0000
If you noticed, the Bessel equation of first kind zero order (Jo) is solved for
the electric field.
The current density involves an integral of Jo and from recurrence, it becomes
first order, J1, which by definition is zero in the center.
-----Original Message-----
From: si-list-bounce@xxxxxxxxxxxxx [mailto:si-list-bounce@xxxxxxxxxxxxx] On
Behalf Of tiancailuotuo
Sent: Thursday, August 02, 2012 2:55 PM
To: si-list@xxxxxxxxxxxxx
Subject: [SI-LIST] Skin effect and Bessel function
To solve the current density distribution within a solid copper wire
cross-section, when only considering z-axial component Jz (current density), a
Bessel differential equation can be solved.
http://home.swipnet.se/swi/bessel/bessel.html
<http://home.swipnet.se/swi/bessel/bessel.html>
Then the solution is J0(A*r), where A=sqrt(-j*omega*sigma*mu), and J0 is the
zero-th order Bessel function. [./Form_7.png ac_currrent] Therefore, Current
Density = sigma*Es*J0(A*r). [./Form_7.png
ac_currrent] [Form_9.png E]
We know that due to skin effect, current density is largest around the edge.
But from the equation above, Current Density has max value when r=0.
Can any one help me understand this?
ThanksDazhao
------------------------------------------------------------------
To unsubscribe from si-list:
si-list-request@xxxxxxxxxxxxx with 'unsubscribe' in the Subject field
or to administer your membership from a web page, go to:
//www.freelists.org/webpage/si-list
For help:
si-list-request@xxxxxxxxxxxxx with 'help' in the Subject field
List forum is accessible at:
http://tech.groups.yahoo.com/group/si-list
List archives are viewable at:
//www.freelists.org/archives/si-list
Old (prior to June 6, 2001) list archives are viewable at:
http://www.qsl.net/wb6tpu
------------------------------------------------------------------
To unsubscribe from si-list:
si-list-request@xxxxxxxxxxxxx with 'unsubscribe' in the Subject field
or to administer your membership from a web page, go to:
//www.freelists.org/webpage/si-list
For help:
si-list-request@xxxxxxxxxxxxx with 'help' in the Subject field
List forum is accessible at:
http://tech.groups.yahoo.com/group/si-list
List archives are viewable at:
//www.freelists.org/archives/si-list
Old (prior to June 6, 2001) list archives are viewable at:
http://www.qsl.net/wb6tpu
Other related posts:
