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Natural Science Forum / Physics / Electromagnetism / July 2008



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Dielectric

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rambotrout - 13 Jun 2008 20:10 GMT
If two electrodes are sandwitching two dielectric materials with very
different dielectric constants (but the same thickness), say, water
and glass. Would the new dielectric constant lies in between the
original two?

What would be the electric field in between the dielectric materials?
I suppose not half of the total electric field imposed by the
electrodes. Would the larger dielectric constant material take up more
of it?

If the water contains ions, would that change its dielectric constant
from that of its pure form (about 80)?

Is there any relation between dielectric constant and dielectric
strength?
Uncle Al - 14 Jun 2008 12:45 GMT
> If two electrodes are sandwitching two dielectric materials with very
> different dielectric constants (but the same thickness), say, water
[quoted text clipped - 8 lines]
> If the water contains ions, would that change its dielectric constant
> from that of its pure form (about 80)?

Water with ions is electrically conductive.  A better example would be
two solid slabs, perhaps contrasting polyethylene foam (about 1.3,
coax cable) and poly(vinylidene fluoride) at 12.2 or potassium
tantalate niobate at 6000.

What if you insulated your DC electrodes with a couple of microns
thickness of Parylene-C film then dipped them in electrolyte solution
or placed a copper slab in-between?

> Is there any relation between dielectric constant

electric field attenuation

> and dielectric
> strength?

breakthrough voltage/thickness

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rambotrout - 15 Jun 2008 20:01 GMT
Please correct me if I am wrong.

Say the voltage across the slabs is Vt, then Vt = V1 + V2, where V1,
V2 are voltages across the two different dielectric materials.
Therefore,

Vt = Q*d1/(E1 * A) + Q*d2/(E2 * A),

where Q = charge in Coulomb, d = thickness of material, E = dielectric
constant, and A = area.
rambotrout - 16 Jun 2008 18:51 GMT
Please ignore my last post as I sent it 2-3 days ago and just appear
(due to post witheld by sci.physics.research moderator).
John C. Polasek - 19 Jun 2008 14:39 GMT
>Please correct me if I am wrong.
>
[quoted text clipped - 6 lines]
>where Q = charge in Coulomb, d = thickness of material, E = dielectric
>constant, and A = area.
That's right. Vt = Q/C1 + Q/C2
where E is K*eps0, where K is a multiplier of vacuum permittivity.
John Polasek
Andrzej Novak - 21 Jul 2008 18:41 GMT
> Please correct me if I am wrong.
>
[quoted text clipped - 5 lines]
> where Q = charge in Coulomb, d = thickness of material, E = dielectric
> constant, and A = area.

You are on the right track. In order to calculate the equivalent
dielectric constant for the whole assembly, you can treat the system as
two capacitors in series, each with a single kind of dielectric. I
usually imagine an infinitesimally think conductor between them.

Remember that capacitors in series add in reciprocals (1/C_eq = 1/C_1
+ 1/ C_2), and you can work out what the effective dielectric constant
is (which would be relatively simple if d1 == d2, by the way).
 
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