Flow of charge between two spheres

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Fibo112
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Lets say I have two spheres of equal dimensions, one charged and one uncharged. Now I connect them with a conducting wire. They will now very quickly reach equal potential. Can it be said that the total charge on each sphere remains almost unchanged?
 
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Dale said:
No.
Will the total charges be equal?
 
I forgot to mention that the spheres are conductors.
 
I can see now that the equality of charges follows from the uniqueness theorem.
 
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