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static relative permittivity estimation for a mixed dielectric.

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Proud Mary
Thu Oct 15 2009, 01:35AM Print
Proud Mary Registered Member #543 Joined: Tue Feb 20 2007, 04:26PM
Location: UK
Posts: 4992
A boat-builder's glass cloth (Dk ~ 5 - 10) of thickness 1mm is to be saturated in dimethyl sulphoxide (Dk ~ 48) as the dielectric in an experimental HV capacitor I've been thinking about.

What are the basic parameters and formulae needed to estimate Dk for a mixed dielectric?

What are the basic parameters and formulae needed to estimate the relaxation time of a mixed dielectric? (Debye Equation and what....?)

I will have no especial trouble determining Dk of the mixed dielectric by Observation (i.e. from Dk = Cx/Co) but want to check the observed value against a theoretical estimate so that I'm not made to stand in the corner of the forum with a Dunce's Cap on my head.

I'm not confident that I could measure dielectric relaxation times in the picosecond range, unless someone knows of some simple procedure that may not have occurred to me. So for this value, I would be left with an entirely theoretical estimate. Recent papers suggest that DMSO/H2O mixtures will perform well as dielectrics into the GHz range.

Ditto all of the above, except with methanol (Dk ~ 34) instead of DMSO.

Any ideas, anyone?


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klugesmith
Thu Oct 15 2009, 05:11PM
klugesmith Registered Member #2099 Joined: Wed Apr 29 2009, 12:22AM
Location: Los Altos, California
Posts: 1716
Wow, it's many years since I last thought about DMSO! Can you still get it at vacuum cleaner stores? Do people still rub it into their skin? Never knew it was a high Dk dielectric. Do you think it can be kept in a highly resistive (deionized) state more easily than H2O or CH3OH?

At first glance I would expect a linear interpolation proportional to the relative material volumes, if the scale of composite structure is much larger than any of the molecules.

This is -very- well researched for printed circuit laminates. You can find lots of reports which refine and build upon the traditional determination of effective Dk from glass-to-resin ratio. Also reported is "loss tangent", which I think has a simple and direct relationship with relaxation time.
With the rapid growth of multi-gigabit digital signaling in the last decade, board designers have come to care about the spatial variation in effective Dk due to the glass fiber warp and woof. Link2
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