Re: Optimum coil design?
From: Active8 (reply2group_at_ndbbm.net)
Date: 08/25/04
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Date: Wed, 25 Aug 2004 13:48:08 -0400
On Wed, 25 Aug 2004 12:47:44 -0400, John Popelish wrote:
> Winfield Hill wrote:
>>
>> Calin Dorohoi wrote...
>>>
>>> I would like to know how to compute the shortest wire length
>>> required to build a specific inductance given a certain wire
>>> diameter. My question refers especially to multi-layer
>>> air-core coils.
>>
>> This is a problem that out distant forefathers solved long ago.
>>
>> The optimum highest inductance to wire-length ratio occurs in the
>> Brooks inductor. Its windings are square in cross section and have
>> a roughly 3:1 ratio of mean-diameter to length.
> (snip)
>
> What about cross sections of some other shape than square? Round,
> triangular or elliptical, for example?
The cross section is not that of the winding form but that which is
formed by the turns - cut the tube into two semi-circular troughs,
IOW. So you're stuck with square, rectangular, and triangular for
all practical purposes. That's the way the integrations are
performed to calculate the inductance.
That's 3 of us that need Grover ;) I doubt it's worth the time to
design coils as physics problems.
I just took the inductance formula for a solenoid and rearranged it
so I could differentiate wire length wrt coil length and set it to
zero. It don't work! Either L must be 0 or turns must be infinite.
Too many variables. Maybe it's doable, but today ain't my day for
this. Poorly specified problem, too. Sounds like homework.
-- Best Regards, Mike
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