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Problem: A sphere of radius R contains charge Q spread uniformly throughout its volume. Find an expression for the electrostatic energy contained within the sphere itself

FREE Expert Solution

Volume charge density is expressed as:

ρ=QV=Q43πR3

Now, let's consider distance r < R within the sphere.

The electric field at this distance is given by:

E=kqr2, where q is the total charge enclosed by the sphere of radius, r.

 We now have:

q=(43πr3)ρ

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Problem Details

A sphere of radius R contains charge Q spread uniformly throughout its volume. Find an expression for the electrostatic energy contained within the sphere itself

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