A spherical shell is constructed in three non-conducting layers. The fir 2a has an inner radius A, an outer radius B, and a non-uniform charge density p r3 where a and B are constants. The second layer has an inner radius B, an outer radius and a uniform charge density. The final layer has an inner radius C, and outer radiu and a non-uniform charge density p = 8e¬nr where n is a constant. The total charge r the structure is arranged such that the electric field is zero for r> D. a. What is the total charge contained in the first layer of the structure? b. What is the total charge contained in the second layer of the structure? What is the total charge contained in the third layer of the structure? c.
A spherical shell is constructed in three non-conducting layers. The fir 2a has an inner radius A, an outer radius B, and a non-uniform charge density p r3 where a and B are constants. The second layer has an inner radius B, an outer radius and a uniform charge density. The final layer has an inner radius C, and outer radiu and a non-uniform charge density p = 8e¬nr where n is a constant. The total charge r the structure is arranged such that the electric field is zero for r> D. a. What is the total charge contained in the first layer of the structure? b. What is the total charge contained in the second layer of the structure? What is the total charge contained in the third layer of the structure? c.
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Transcribed Image Text:A spherical shell is constructed in three non-conducting layers. The first layer
2a
has an inner radius A, an outer radius B, and a non-uniform charge density p
r3
+ 5B
where a and ß are constants. The second layer has an inner radius B, an outer radius C,
and a uniform charge density. The final layer has an inner radius C, and outer radius D,
8e-nr
and a non-uniform charge density p =
where n is a constant. The total charge of
r
the structure is arranged such that the electric field is zero for r> D.
a. What is the total charge contained in the first layer of the structure?
b. What is the total charge contained in the second layer of the structure?
c. What is the total charge contained in the third layer of the structure?
d. What is the magnitude of the electric field strength for A<r<B?
e. What is the magnitude of the electric field strength for B <r< C?
f. What is the magnitude of the electric field strength for C <r<D?
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