A nonconducting spherical shell has an inner radius A, an outer radius B, and a nonuniform charge density given by p= 6a +e-Br where a and B are constants. The inner spherical shell is p3 surrounded with a concentric nonconducting spherical shell that has an inner radius B, outer radius C, and a uniform charge density such that the electric field for r > C is zero. 1. What is the total charge contained in the inner spherical shell? 2. What is the charge density in the outer spherical shell? 3. What is the magnitude of the electric field for A < r < B? 4. What is the magnitude of the electric field for B < r < C?

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A nonconducting spherical shell has an inner radius A, an outer radius B, and a nonuniform charge
6a
density given by p =
p3
+e-pr where a and B are constants. The inner spherical shell is
surrounded with a concentric nonconducting spherical shell that has an inner radius B, outer radius
C, and a uniform charge density such that the electric field for r> C is zero.
1. What is the total charge contained in the inner spherical shell?
2. What is the charge density in the outer spherical shell?
3. What is the magnitude of the electric field for A < r < B?
4. What is the magnitude of the electric field for B <r< C?
Transcribed Image Text:A nonconducting spherical shell has an inner radius A, an outer radius B, and a nonuniform charge 6a density given by p = p3 +e-pr where a and B are constants. The inner spherical shell is surrounded with a concentric nonconducting spherical shell that has an inner radius B, outer radius C, and a uniform charge density such that the electric field for r> C is zero. 1. What is the total charge contained in the inner spherical shell? 2. What is the charge density in the outer spherical shell? 3. What is the magnitude of the electric field for A < r < B? 4. What is the magnitude of the electric field for B <r< C?
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