2. Consider a dielectric cylinder of radius a carrying spontaneous uniform polarization of density P perpendicular to the cylinder axis. Find the electrostatic potential, the field E and the dielectric displacement D inside and outside the cylinder. Ēin = Ē+,in + Ē_‚ii -,in Ēout = X 2εοπι2 - = (2rd cos 0 - d) 2€0 - Pd 2€0 = 2 1 5 ( ² ) ² ( 2 (P³. f)+ - P) î)î P 2€0 PR² T 2607r2 (2(d.f)f-d) 2εοπι2
2. Consider a dielectric cylinder of radius a carrying spontaneous uniform polarization of density P perpendicular to the cylinder axis. Find the electrostatic potential, the field E and the dielectric displacement D inside and outside the cylinder. Ēin = Ē+,in + Ē_‚ii -,in Ēout = X 2εοπι2 - = (2rd cos 0 - d) 2€0 - Pd 2€0 = 2 1 5 ( ² ) ² ( 2 (P³. f)+ - P) î)î P 2€0 PR² T 2607r2 (2(d.f)f-d) 2εοπι2
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I need help with the inside and outside electrostatic potential and inside and outside dielectric displacement. E is given. Thank you!
Transcribed Image Text:2. Consider a dielectric cylinder of radius a carrying spontaneous uniform polarization of
density P perpendicular to the cylinder axis. Find the electrostatic potential, the field E
and the dielectric displacement D inside and outside the cylinder.
Ein = E4in + E
‚in
2€0
2€0
Eout
(2îd cos 0 – d) =
|
2e07r2 (2(d - f)f – d)
2e0Tr2
1
R
() (2(F.
f)f – P)
%3D
2€0
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