just a SWAG...  perhaps dielectric strength is dependent on volume, and the
increased 'thickness' is assumed to be
thickness-for-a-constant-surface-area.  If that's the case then an
increasing thickness is also an increased volume which also increases
available charge carriers, reducing breakdown voltage.

A test of my SWAG would be to incrementally increase dielectric thickness
and determine if breakdown voltage eventually finds a minimum and then
begins to increase with thickness.

interesting question.

On Sun, Jun 23, 2024, 13:32 Richard Nute <[email protected]> wrote:

>
> Why does air (or any insulating material) have decreasing dielectric
> strength, kV/mm, with increasing distance through the dielectric
> substance?  Assume homogenous field.  (I have assumed the dielectric
> strength was constant for the material.)   In other words, what is the
> physical basis for the non-constant dielectric strength clearance tables
> in various safety standards?  (I have yet to find the answer from the web.
> )  How can I predict the dielectric constant for a given distance through
> air (or any insulation)?
>
> Charles J. Fraser, in Mechanical Engineer's Reference Book (Twelfth
> Edition)
> <https://www.sciencedirect.com/book/9780750611954/mechanical-engineers-reference-book>,
> 1994:
>
> If the potential difference across opposite faces of a dielectric material
> is increased above a particular value, the material breaks down. The
> failure of the material takes the form of a small puncture, which renders
> the material useless as an insulator. The *potential gradient*
> <https://www.sciencedirect.com/topics/engineering/potential-gradient> 
> necessary
> to cause break down is normally expressed in kilovolts/millimetre and is
> termed the ‘dielectric strength’. The dielectric strength of a given
> material decreases with increases in the thickness. Table 2.2 gives
> approximate values for some of the more common dielectric materials.
>
> Table 2.2. Dielectric strength of some common insulators
>
> *Material*       * Thickness (mm)* * Dielectric strength (kV/mm)*
> Air     0.2     5.75
>         0.6     4.92
>         1.0     4.36
>         10.0    2.98
> Mica    0.01    200
>         0.10    115
>         1.00    61
>
> Thanks, and best regards,
>
> Rich
>
>
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