1. A nonconducting spherical shell has an inner radius A, an outer radius B, and a nonuniform ба -Br charge density given by p(r)= +e where ß and a are constants. The nonconducting spherical shell is surrounded by a concentric, conducting spherical shell with inner radius C, outer radius D, and a total charge of -78 where 8 is a constant. a. What is the total charge contained in the nonconducting spherical shell? b. What is the charge on the inner surface of the conducting spherical shell? c. What is the charge on the outer surface of the conducting spherical shell?

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1.
A nonconducting spherical shell has an inner radius A, an outer radius B, and a nonuniform
6α
charge density given by p(r)= +er where ß and a are constants. The nonconducting spherical
3
r³
shell is surrounded by a concentric, conducting spherical shell with inner radius C, outer radius D, and a
total charge of -78 where 8 is a constant.
b.
c.
a. What is the total charge contained in the nonconducting spherical shell?
What is the charge on the inner surface of the conducting spherical shell?
What is the charge on the outer surface of the conducting spherical shell?
What is the magnitude of the electric field for A<r<B?
e. What is the magnitude of the electric field for B <r<C?
What is the magnitude of the electric field for C<r<D?
g. What is the magnitude of the electric field for r > D?
d.
f.
Transcribed Image Text:1. A nonconducting spherical shell has an inner radius A, an outer radius B, and a nonuniform 6α charge density given by p(r)= +er where ß and a are constants. The nonconducting spherical 3 r³ shell is surrounded by a concentric, conducting spherical shell with inner radius C, outer radius D, and a total charge of -78 where 8 is a constant. b. c. a. What is the total charge contained in the nonconducting spherical shell? What is the charge on the inner surface of the conducting spherical shell? What is the charge on the outer surface of the conducting spherical shell? What is the magnitude of the electric field for A<r<B? e. What is the magnitude of the electric field for B <r<C? What is the magnitude of the electric field for C<r<D? g. What is the magnitude of the electric field for r > D? d. f.
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