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The figure below shows a thick spherical shell, which has a uniform volume charg

ID: 1430276 • Letter: T

Question

The figure below shows a thick spherical shell, which has a uniform volume charge density p = +1.67 nC/m^3 from inner radius a = 6.0 cm to outer radius b = 2.80-a. Find the electric field at the following radial distances: Inside the cavity (r a): Within the material (a r b): Outside the shell: (r b): Graphs: Sketch E_r vs. r from r= 0 to infinity. Mark off where r=a and r= b occur. Within the cavity, graph's shape is: Outside the shell, graph's shape is: Setting V=0 at r= infinity, sketch V vs. r from r= 0 to infinity. Mark off where r= a and r=b occur. Within the cavity, graph's shape is: Within the material, graph's shape is: Outside the shell, graph's shape is:

Explanation / Answer

field will be zero for r< a

EF(r = 0) = EF(r = 0.5a)= EF(r = a) = 0

field = qin/(epsilon_naught*A)

EF(r = 1.5a) = 3.983 N/c

EF(r = b) = 9.016N/c

EF(r = 3b) = 1 N/c

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