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## Homework Statement

We have a uniformly charged, non-conducting sphere (charge per volume,ρ, and radius, R). Then a uniformly charged ruler (charge per length,λ, and length, d) is aligned radially almost touching the surface of the sphere. Determine the net force experienced by the ruler.

## Homework Equations

∫E⋅dA=Q

_{enclosed}/ε

_{0}

I think that's all...

## The Attempt at a Solution

I drew my gaussian surface like Gaussian surface.jpg

∫E⋅dA=Q

_{enclosed}/ε

_{0}

ρ=(Q/V)=Q/(4/3)πR

^{2}→Q=ρ(4/3)πR

^{2}

A=4πR

_{1}

^{2}

∫E⋅dA=Q

_{enclosed}/ε

_{0}→E4πR

_{1}

^{2}=ρ(4/3)πR

^{2}/ε

_{0}

E=ρR

^{2}/3ε

_{0}R

_{1}

^{2}

Now I have the electric field of the sphere at its surface

When I place a ruler almost touching the sphere aligned radially I am not sure what to do... The ruler also has an electric field which we could calculate using gauss's law (the shape would be a box?). I know the spheres electric field interacts with the charged ruler...

Any help would be appreciated!