Find the electric potential V(r)

AI Thread Summary
To find the electric potential V(r) from a spherically symmetric charge density ρ = ρ0 e^(-αr), one can use the volume integral of the charge density divided by the distance from the charge. The problem suggests considering the charge as composed of nested spherical shells, which simplifies the calculation of the electric field generated by each shell. The electric field can be derived from Gauss's law, allowing for easier integration to find the potential. Understanding the contributions from each shell is crucial for solving the problem correctly. The discussion emphasizes the importance of symmetry in simplifying the calculations.
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Hi, I have a homework of electromagnetism and I got stucked in a problem, can you help me, please?

1. Homework Statement

Find the electric potential V(r) in the space produced by a density charge

(rho) = (rho)0 e-(alpha) r

In spanish:
Enuentra el potencial V(r), en todo el espacio, producido por una densidad de carga:
(rho) = (rho)0 e-(alpha) r

Homework Equations

The Attempt at a Solution


I know that the electric potential produced by a density charge is the volume integral of the density charge by the magnitud of the distance between but I don't know how to take distance in all the space[/B]

 
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Since the charge is spherically symmetric, think of it as nested spherical shells, each with a uniform charge density.
What do you know about the fields generated by such shells?
 
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