Electrostatic equilibrium problem

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Homework Statement
Please see below.
Relevant Equations
Please see below
For this problem,
1675051831178.png

I don't understand why this is impossible. Can someone please help?

Many thanks!
 
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kuruman said:
What would be the magnitude of the electric field just outside the sphere?
Thank you for your reply @kuruman ! The electric field of a sphere is equivalent to that of a point charge so ## E = \frac {40 \times 10^{-9}k_e}{0.15^2} ##

Many thanks!
 
kuruman said:
So why is the situation impossible?
Thanks for your reply @kuruman ! Thinking... Its got to me something to do with the electric field.
 
kuruman said:
Yes. Look at the plot and then look at your post #3.
Oh thanks @kuruman ! The calculated value for the electric field at the surface of the charge is not equal to that value on the graph.