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.

 

[paranormal]

I must first clarify that the statement "everything there is in the universe is a number of conductors that their overall load is greater than zero" is not entirely accurate. While there are certainly many conductors in the universe, not everything can be classified as a conductor.

That being said, I will address the main question at hand. The statement suggests that all conductors have a positive density surface charge, but this is not necessarily true. In fact, there are many conductors that have a neutral or even negative density surface charge.

For example, a conductor can have a negative surface charge if it is surrounded by a positively charged medium. In this scenario, the overall load of the conductor may still be greater than zero, but there is a negative density surface charge present.

Furthermore, there are also conductors that have a neutral surface charge, such as a charged metal sphere. In this case, the overall load is still greater than zero, but there is no negative density surface charge anywhere on the conductor.

Therefore, it is not accurate to say that all conductors have a positive density surface charge. There are certainly conductors that have no negative density surface charge anywhere, proving that the statement in question is not universally true.