Problem: A hollow non-conducting spherical shell has inner radius R1 = 8cm and outer radius R2 = 15 cm. A charge Q = - 45 nC lies at the center of the shell. The shell carries a spherically symmetric charge density ρ = Ar for R1 < r <R2 that increases linearly with radius, where A= 29 μC/m4 Write an equation for the radial electric field in the region r<R1 in terms of Q, r and Coulomb's constant k. You may take the positive direction as outward. 

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FREE Expert Solution

Gauss' law:

E·dA=Qε0

Area of a sphere:

A=4πr2

The Gaussian surface is a sphere with a radius of r. We'll use  -Q for the charge enclosed.

The closed integral of dA = A

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Problem Details

A hollow non-conducting spherical shell has inner radius R= 8cm and outer radius R2 = 15 cm. A charge Q = - 45 nC lies at the center of the shell. The shell carries a spherically symmetric charge density ρ = Ar for R1 < r <R2 that increases linearly with radius, where A= 29 μC/m4 

Write an equation for the radial electric field in the region r<R1 in terms of Q, r and Coulomb's constant k. You may take the positive direction as outward. 


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Based on our data, we think this problem is relevant for Professor Becker's class at TAMU.