A question is physics (electricity)

[s21288]

"Everything there is in the universe is a number of conductors that their overall load is greater than zero. Prove that there is at least one conductor with no negative density surface charge anywhere"
thx for any help...

 

[mfb]

Is that the original question? It looks like a translation, and it is tricky for me to guess the initial problem.

We have a [finite] set of conductors with an overall [charge?] greater than zero? And the task is to prove the existence of a conductor with positive charge density on its whole surface?

In that case: What do you know about potentials of conductors?
What do you know about the relation between (surface) charge density and electric fields?
Those two should give you an idea how to approach that.

 

[s21288]

actually it is a translation from hebrew... you translated it right but they say "to prove the existence of at least one conductor with no negetive surface charge density anywhere on it"

 

[mfb]

Okay, I should have written "positive or zero", as this is identical to "not negative".
See my hints to get some idea how you could start.