Calculating Electric Potential at Sphere and Shell

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The discussion revolves around calculating the electric potential at various points related to a conducting sphere and a surrounding non-conducting shell. Key calculations include determining the electric potential at a distance of 0.4 m outside the shell, at the shell's surface, midway between the sphere and shell, at the sphere's surface, and at the sphere's center. The participant expresses frustration with their calculations, indicating that their results do not match expected values. They also inquire about Gauss's Law, suggesting a need for clarification on its application in solving these problems. Understanding Gauss's Law is crucial for accurately calculating electric potentials in this context.
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Homework Statement



A conducting sphere with radius a = 0.31 m has a net charge Qa = +4 µC. A thin, non-conducting spherical shell of radius b = 0.86 m surrounds the sphere and is concentric with it. This shell has a net charge Qb = +1.5 µC distributed uniformly over its surface. The electric potential at infinity is zero.

(a) Calculate the electric potential at a radial distance of 0.4 m outside of the thin shell.
(b) Calculate the potential at the thin shell.
(c) Find the electric potential mid-way between the surface of the sphere and the surrounding shell.
(d) Find the potential at the surface of the sphere.
(e) Find the potential at the center of the sphere.

Homework Equations





The Attempt at a Solution



These are driving me crazy. My work gives me the following answers...
a) 9*10^9 (4*10^-6+1.5*10^-6/1.57)
b) 9*10^9(4*10^-6+1.5*10^-6/0.215)
c) 9*10^9(4*10^-6/0.585+1.5*10^-6/0.86)
d) 9*10^9(4*10^-6/0.31+1.5*10^-6/0.86)
e) 9*10^9(4*10^-6/0.31+1.5*10^-6)

which aren't right when I'm typing them in.
 
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