A thin-shelled hollow sphere of radius R has a uniform surface charge density σ. Fixed at its center is a point charge q. a) Use Gauss's law to find the electric field a distance r from the center. (Give answers for r < R and r > R.) b) Taking the electric potential V to vanish at infinity, find the electric potential as a function of r, the distance from the center. (Give answers for r < R and r > R.)
A thin-shelled hollow sphere of radius R has a uniform surface charge density σ. Fixed at its center is a point charge q. a) Use Gauss's law to find the electric field a distance r from the center. (Give answers for r < R and r > R.) b) Taking the electric potential V to vanish at infinity, find the electric potential as a function of r, the distance from the center. (Give answers for r < R and r > R.)
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A thin-shelled hollow sphere of radius R has a uniform surface charge density σ. Fixed at its center is a point charge q.
a) Use Gauss's law to find the electric field a distance r from the center. (Give answers for r < R and r > R.)
b) Taking the electric potential V to vanish at infinity, find the electric potential as a function of r, the distance from the center. (Give answers for r < R and r > R.)
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