An underground spherical configuration of concentric spherical dielectric shells, enclosed by a conductor shell, is shown in Figure Q.1. Region #1 and #3 are free space, Region #2 is a dielectric whose relative permittivity equal to ɛr, and Region #4 is a conductor. A charge +Q is placed at the center of the spherical dielectric shells. (a) Determine D, E and P in all regions (b) Find ps on the conductor surface at r = c &r = d (c) Find psp on the dielectric surfaces at r = a &r = b (d) Plot the flux of D, E,E and P separately (e) If the electric susceptibility, Xe = 4 in region 2, by what factor is the field reduced in the dielectric, from the case when Xe = 0. #4 Conductor a Eo E0E, E0 #1 #2 #3

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An underground spherical configuration of concentric spherical dielectric shells,
enclosed by a conductor shell, is shown in Figure Q.1. Region #1 and #3 are free
space, Region #2 is a dielectric whose relative permittivity equal to ɛr, and Region #4
is a conductor. A charge +Q is placed at the center of the spherical dielectric shells.
(a) Determine D, E and P in all regions
(b) Find ps on the conductor surface at r = c &r = d
(c) Find psp on the dielectric surfaces at r = a &r = b
(d) Plot the flux of D, E,E and P separately
(e) If the electric susceptibility, Xe = 4 in region 2, by what factor is
the field reduced in the dielectric, from the case when Xe = 0.
#4
Conductor
a
Eo E0E, E0
#1
#2
#3
d
Figure Q.1
Transcribed Image Text:An underground spherical configuration of concentric spherical dielectric shells, enclosed by a conductor shell, is shown in Figure Q.1. Region #1 and #3 are free space, Region #2 is a dielectric whose relative permittivity equal to ɛr, and Region #4 is a conductor. A charge +Q is placed at the center of the spherical dielectric shells. (a) Determine D, E and P in all regions (b) Find ps on the conductor surface at r = c &r = d (c) Find psp on the dielectric surfaces at r = a &r = b (d) Plot the flux of D, E,E and P separately (e) If the electric susceptibility, Xe = 4 in region 2, by what factor is the field reduced in the dielectric, from the case when Xe = 0. #4 Conductor a Eo E0E, E0 #1 #2 #3 d Figure Q.1
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