The infinitesimal external work required to increase the overall dipole moment of a uniformly polarised dielectric substance from p to p + dp in an electric field E is SW = = Edp. i. Show that the Gibbs free energy is given by dG = -SdT - pdE. Establish the Maxwell relation: ii. as (35), - (37). = ƏT E The polarisation per unit volume of a dielectric substance is given by: ²=C² F T where €0 and C are constants and V is the (constant) volume of the system. Using a suitable Maxwell relation and the equation of state show that: au JE T = 0

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The infinitesimal external work required to increase the overall dipole moment of a uniformly polarised
dielectric substance from p to p + dp in an electric field E is SW = Edp.
-SdT - pdE.
i. Show that the Gibbs free energy is given by dG
Establish the Maxwell relation:
ii.
as
JE T
The polarisation per unit volume of a dielectric substance is given by:
€ E
T
where €0
р
=
and C are constants and V is the (constant) volume of the system.
E
iii. Using a suitable Maxwell relation and the equation of state show that:
მU
JE T
= 0
Transcribed Image Text:The infinitesimal external work required to increase the overall dipole moment of a uniformly polarised dielectric substance from p to p + dp in an electric field E is SW = Edp. -SdT - pdE. i. Show that the Gibbs free energy is given by dG Establish the Maxwell relation: ii. as JE T The polarisation per unit volume of a dielectric substance is given by: € E T where €0 р = and C are constants and V is the (constant) volume of the system. E iii. Using a suitable Maxwell relation and the equation of state show that: მU JE T = 0
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