Electric Flux and Gauss's Law for Non-Uniform Charge Density in a Solid Cylinder

AI Thread Summary
The discussion focuses on calculating the electric field in a long non-conducting solid cylinder with a non-uniform charge density, defined as ρ(r) = Ar², where A is a constant and r is the radial distance from the cylinder's axis. Participants are tasked with applying Gauss's Law to find the electric field for regions inside (r < R) and outside (r > R) the cylinder. The importance of visual aids, such as diagrams, is emphasized to better understand the problem. The conversation highlights the need for a clear mathematical approach to derive the electric field in both regions. Overall, the application of Gauss's Law is central to solving this problem involving non-uniform charge distribution.
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A long non conducting solid cylinder of radius R has a non-uniform change density rho or (p) that is a function of the radical distance r from the axis of the cylinder. given by rho or p(r)=Ar^2 Find the E-field at regions r<R and r>R?
 
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you need to show your attempt.
 
Ah Gauss's Law, this brings meback...

Draw a picture.
 
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