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-refer
ence-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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