a) Viewers of Star Trek hear of an antimatter drive on the Starship Enterprise. One possibility for such a futuristic energy sou
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(b)
We can actually solve first part (b) the problem. In fact, we know that the electric field strength at the surface of the a sphere is given by
where
k is the Coulomb's constant
Q is the charge on the surface of the sphere
R is the radius
For this sphere, the radius is half the diameter, so
We also know that the maximum charge is the value of charge deposited at which the electric field of the sphere becomes equal to the breakdown electric field, so
Solving the formula for Q, we find the maximum charge:
(a)
The maximum potential of a charged sphere occurs at the surface of the sphere, and it is given by
where we already found at point b)
and we know that
R = 0.215 m
Solving for V, we find: