A netively charged sphere of radius b has a point charge q (q>0) embedded within its center. The sphere has a charge density ρ(r) = −Cr, C being a positive constant and r being the distance from the charge. a) What is the total charge within the sphere including Q(r) (r

Principles of Physics: A Calculus-Based Text
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Chapter19: Electric Forces And Electric Fields
Section: Chapter Questions
Problem 57P: A solid conducting sphere of radius 2.00 cm has a charge 8.00 μC. A conducting spherical shell of...
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A netively charged sphere of radius has a point charge q (q>0) embedded within its center. The sphere has a charge density ρ(r) = −Cr, C being a positive constant and r being the distance from the charge.

a) What is the total charge within the sphere including Q(r) (r<b)?

b) Find the value of C such that the sphere's surface would have an electric field of zero.

c) What is the electric potential within the sphere (r<b) if the potential at infinity is zero? (Make an expression)

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