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Re: New Inductance Formula
Original poster: "Ed Phillips by way of Terry Fritz <twftesla-at-qwest-dot-net>" <evp-at-pacbell-dot-net>
Tesla list wrote:
>
> Original poster: "John H. Couture by way of Terry Fritz
<twftesla-at-qwest-dot-net>" <couturejh-at-mgte-dot-com>
>
> Inductance is defined as the flux linkages divided by the current causing
> the flux or
>
> L = A/I
>
> Refer to page 538 the Electromagnetics Problem Solver by Dr. M. Fogiel,
> 1983, Research and Education Association.
>
> John Couture
>
> ----------------------------
>
> -----Original Message-----
> From: Tesla list [mailto:tesla-at-pupman-dot-com]
> Sent: Sunday, April 28, 2002 9:14 AM
> To: tesla-at-pupman-dot-com
> Subject: RE: New Inductance Formula
>
> Original poster: "David Thomson by way of Terry Fritz <twftesla-at-qwest-dot-net>"
> <dave-at-volantis-dot-org>
>
> Hi Ed,
>
> >Wheeler's formulae (there are several) are usually known as Wheeler's
> approximations, and were developed during "slide rule days" as a convenient
> and simple tool for radio engineers, who seldom need an accuracy of as great
> as 1%.
>
> Wheeler's formulas have served us well for quite a while. I'm not disputing
> that nor am I disrespectful of his contribution.
>
> >Quite recently a guy named Lundin (?) worked out fairly simple expressions
> giving an accuracy of better than a part in 300,000.
>
> I'd like to see that formula. If you or anyone else knows where to find it
> please post it to the list.
>
> >By the way, I believe the dimension of inductance is indeed length,
> (centimeters in the old cgs system) though don't have time to look that up
> right now.
>
> The dimensions of inductance in the MKS system are kg*m^2/coul^2. In the SI
> system it is kg*m^2/s^2*A^2. In the cgs system it is sec^2/cm.
>
> Dave
Tesla list wrote:
>
> Original poster: "John H. Couture by way of Terry Fritz
<twftesla-at-qwest-dot-net>" <couturejh-at-mgte-dot-com>
>
> Inductance is defined as the flux linkages divided by the current causing
> the flux or
>
> L = A/I
>
> Refer to page 538 the Electromagnetics Problem Solver by Dr. M. Fogiel,
> 1983, Research and Education Association.
>
> John Couture
Not sure what A represents in your expression, but it seems to fit very
well with the definition I learned in physics class longer ago than I
want to think of.
Inductance = flux linkages per unit current
which appears to be the same if A represents flux linkages.
> The dimensions of inductance in the MKS system are kg*m^2/coul^2. In the SI
> system it is kg*m^2/s^2*A^2. In the cgs system it is sec^2/cm.
>
> Dave
If you plug the MKS and SI definitions into the formula for stored
energy (1/2 L I^2) you get the units kg * (m/s)^2, which has the right
form. Can't do it for cgs until I consult my physics books at work.
Ed