Physics for Electrical Engineering: Unit I: Dielectric Materials and Insulation
Clausius - Mosotti equation
Dielectric Materials
Let N be the number of molecules per unit volume and a be the molecular polarisability.
CLAUSIUS
- MOSOTTI EQUATION
Let
N be the number of molecules per unit volume and a be the molecular
polarisability.
Total
polarisation P = N ɑ Eint
Eint
= P / Να ......(1)
we
know that D = ε E = εo E + P
ε
E – εo E = P
(ɛ-εo) E = P
E
= P / ε – εo ... (2)
Lorentz
field is given by Eint = E + P / 3 εo ...(3)
Substituting
eqn (2) in eqn (3), we have
Equating
eqns (1) and (4), we have
The
equation (5) is Clausius - Mosotti relation which relates the dielectric
constant (a macroscopic quantity) of the material with polarisability (a
microscopic quantity).
Physics for Electrical Engineering: Unit I: Dielectric Materials and Insulation : Tag: : Dielectric Materials - Clausius - Mosotti equation
Physics for Electrical Engineering: Unit I: Dielectric Materials and Insulation
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Physics for Electrical Engineering
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