A spherical capacitor is made out of a metal sphere of radius "a" and a metallic spherical shell with inner radius "b". A free charge +2 and -2 is distributed over the surfaces of radius a and b, respectively. b X A linear dielectric material with electric susceptibility Xe fills the southern hemisphere only. (a) Calculate the distribution of free and bound charges in the two regions 1 and 2. (b) Calculate the capacitance, C=Q/[V(a)-Vcb)].

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A spherical capacitor is made out of
a metal sphere of radius "a" and
a metallic spherical shell with
radius "b".
inner
A free charge +2 and -2 is distributed
over the surfaces of radius a and b
respectively.
b
x
+6
#
A linear dielectric material with electric susceptibility Xe fills the
southern hemisphere only.
(a) Calculate the distribution of free and bound charges in
the two regions 1 and 2.
(b) Calculate the capacitance, C= /[V(a)-V(b)]
Transcribed Image Text:A spherical capacitor is made out of a metal sphere of radius "a" and a metallic spherical shell with radius "b". inner A free charge +2 and -2 is distributed over the surfaces of radius a and b respectively. b x +6 # A linear dielectric material with electric susceptibility Xe fills the southern hemisphere only. (a) Calculate the distribution of free and bound charges in the two regions 1 and 2. (b) Calculate the capacitance, C= /[V(a)-V(b)]
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