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Re: Wire length LC derivation,

Original poster: "Jim Lux" <jimlux@xxxxxxxxxxxxx>


----- Original Message -----
From: "Tesla list" <tesla@xxxxxxxxxx>
To: <tesla@xxxxxxxxxx>
Sent: Sunday, March 13, 2005 9:27 PM
Subject: Re: Wire length LC derivation,


> Original poster: jdwarshui@xxxxxxxxx
>
>
> Part 1
>
> By Ampere, the inductance for a long air cored solenoid is:
>
<snip>

>
> END.
>
> Jared Dwarshuis, Lawrence Morris
>


There are several simplifying assumptions you have made that are not valid.
This has been well addressed in the literature at least 70 years ago, if not
earlier.
1) the secondary is not an infinite solenoid in a typical tesla coil.  More
exact equations are available for various configurations (e.g. NBS Circular
74), or one can numerically integrate the configuration.
2) The self capacitance is not that of an isolated sphere. If you must
approximate, you should probably use that for a cylinder over a ground
plane. Medhurst is the standard reference for these equations.  Or, as with
inductance, you can numerically integrate.