- #1
c1223
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Homework Statement
So the question states that we have a hollow metal sphere of radius 2cm that is charged up. We take the breakdown field of air to be 1MV/m. We are asked to:
a) Calculate the maximum amount of charge which can be placed on the sphere.
b) Calculate the maximum potential on the surface of the sphere.
Homework Equations
[itex]E = \frac{Q}{4\Piε_{0}r^{2}}[/itex]
The Attempt at a Solution
a) [itex]1\cdot10^{6} = \frac{Q}{4\Piε_{0}0.02^{2}}[/itex]
So we get Q as being [itex]4.4\cdot10^{-8}C[/itex]
However, I'm stuck with what to do next to get the potential. I'm not entirely sure I understand the question? Is it the potential between that space on the surface and the center of the sphere?
I know the answer (or at least it is given as 20kV) but I'm not sure how to arrive at that answer.
Cheers