Two uncharged metal spheres

In summary: Ah I see, Thanks. So the answer would be: "When the positive rod is brought close to X which is touching Y, positive charges are pushed away from the rod across sphere X and onto sphere Y. Now X has more negative charges (electrons) and thus has a negative charge. The positive charge that was pushed onto Y give it an overall positive charge."
  • #1
ikihi
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Homework Statement



X and Y are two uncharged metal spheres on insulating stands, and are in contact with each other. A positively charged rod R is brought close to X. Sphere Y is then physically moved away from X. What are the final charge states of X and Y?

Homework Equations



N/A

The Attempt at a Solution



I think X is negative and Y is positive. Can anyone elaborate on why this may be?
 
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  • #2
Use Coulomb's law to show that the electrostatic potential energy of the system is smaller if X is negative in the final state.
 
  • #3
ikihi said:
I think X is negative and Y is positive. Can anyone elaborate on why this may be?
Why don't you start by explaining your initial reasoning? Why do you think that X ends up negatively charged and Y positively charged? What concepts are involved?
 
  • #4
gneill said:
Why don't you start by explaining your initial reasoning? Why do you think that X ends up negatively charged and Y positively charged? What concepts are involved?

Not totally sure, but my guess is:
When the positive rod is brought close to X which is touching Y, positive charges are pushed away from the rod across sphere X and onto sphere Y. Now X has more negative charges (electrons) and thus has a negative charge. The positive charge that was pushed onto Y give it an overall positive charge.
 
  • #5
ikihi said:
Not totally sure, but my guess is:
When the positive rod is brought close to X which is touching Y, positive charges are pushed away from the rod across sphere X and onto sphere Y. Now X has more negative charges (electrons) and thus has a negative charge. The positive charge that was pushed onto Y give it an overall positive charge.
Okay, that's a reasonable interpretation. How might you modify it if you were to assume that the only mobile charges are negative ones (electrons), and that any positive charges (atomic nuclei) are immobile?
 
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  • #6
gneill said:
Okay, that's a reasonable interpretation. How might you modify it if you were to assume that the only mobile charges are negative ones (electrons), and that any positive charges (atomic nuclei) are immobile?

Bringing the positive rod towards the X-sphere, would make the X-sphere positively charged and thus draw the elections away from the Y-sphere leaving it positively charged and leaving the X sphere with an excess of negatively charged elections?
 
  • #7
ikihi said:
Bringing the positive rod towards the X-sphere, would make the X-sphere positively charged and thus draw the elections away from the Y-sphere leaving it positively charged and leaving the X sphere with an excess of negatively charged elections?
Almost. Leave out the the phrase "would make the X-sphere positively charged". The positive rod in close proximity to the X sphere is enough to draw electrons from both spheres towards the rod. The X-sphere in fact gains an overall negative charge with the excess electrons that gather there.
 
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  • #8
gneill said:
Almost. Leave out the the phrase "would make the X-sphere positively charged". The positive rod in close proximity to the X sphere is enough to draw electrons from both spheres towards the rod. The X-sphere in fact gains an overall negative charge with the excess electrons that gather there.

Ah I see, Thanks. So the answer would be: "Bringing the positive rod towards the X-sphere draws electrons from both spheres towards the positive rod. The electrons gather onto sphere X, leaving sphere Y with a net positive charge due to the loss of electrons onto sphere X."
 
  • #9
Right. Then you should mention the consequences of separating the spheres at that point.
 
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What are "Two uncharged metal spheres"?

Two uncharged metal spheres refer to two spherical objects made of metal that have no net charge. This means that the number of positive and negative charges in each sphere are equal, resulting in a neutral overall charge.

How are "Two uncharged metal spheres" different from charged metal spheres?

The main difference between two uncharged metal spheres and charged metal spheres is the presence of net charge. Two uncharged metal spheres have equal numbers of positive and negative charges, while charged metal spheres have an excess of either positive or negative charges, resulting in a net charge.

What happens when "Two uncharged metal spheres" are brought into contact?

When two uncharged metal spheres are brought into contact, electrons can move freely between them, resulting in an equal distribution of charges on both spheres. This process is known as charge transfer or induction.

Can "Two uncharged metal spheres" become charged?

Yes, two uncharged metal spheres can become charged through various processes such as friction, conduction, and induction. When these spheres come into contact with charged objects, they can acquire a net charge by either gaining or losing electrons.

What are the properties of "Two uncharged metal spheres"?

The properties of two uncharged metal spheres include having no net charge, being made of conductive material, and being able to transfer charges through contact. They can also be affected by external electric fields, causing them to attract or repel each other depending on their charges.

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