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## Homework Statement

Say I am given a spherically symmetric potential function V(r), written in terms of r and a bunch of other constants, and say it is just a polynomial of some type with r as the variable, [tex]\frac{q}{4\pi\varepsilon_o}P(r)[/tex], and we are inside the sphere of radius R, so r<R…

## Homework Equations

[tex]\vec E =-\vec\nabla V[/tex]

The operator should reduce since there is are no components for phi or theta, so in spherical

[tex]\vec\nabla =\frac{\partial}{\partial r}\hat r[/tex]

So is it that simple? Just compute the gradient?