Potential V and electric field E for uniform charge density on sphere

AI Thread Summary
To find the electric potential V and electric field E for a uniformly charged sphere of radius R and charge density p, one can apply Gauss's Law due to the spherical symmetry of the problem. For points outside the sphere (r > R), the potential V can be expressed as V = (1/(4πε₀))(Q/r), where Q is the total charge. For points inside the sphere (r < R), the electric field E is given by E = (1/(4πε₀))(Qr/R³), while the potential can be derived from integrating the electric field. The discussion emphasizes the importance of using Gauss's Law to simplify calculations in problems with spherical symmetry. Understanding these concepts is crucial for solving the problem effectively.
emiliocavalcanti
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One problem I can't solve.

A uniform charge density of p coul/m3 is in the shape of a sphere of radius R.
Find expressions for the potential V and the field E at a distance r from the center, for points inside or outside the sphere.

Can u help me?
 
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Cheers
Vivek
 
Two words: Gauss's Law. This should probably be the first thing to pop into your head whenever you see spherical symmetry in a problem.
 

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