+ charged sphere and - charged sphere touch and separate

AI Thread Summary
When two charged metal spheres, X and Y, touch and then separate, they will equalize their charges. Sphere X loses 500 electrons, resulting in a charge of +500, while Sphere Y gains 1000 electrons, leading to a charge of -1000. Upon contact, electrons flow from Sphere Y to Sphere X, causing both spheres to stabilize at a charge of -250 each after separation. The final charges are confirmed as -250 for both spheres. This demonstrates the principle of charge conservation and equalization in conductive materials.
Soniteflash
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Homework Statement


A small metal sphere X is charged by losing 500 electrons. An identical metal sphere Y is charged by gaining 1000 electrons. The two spheres are first put in contact with each other and then separated. If -e is the charge on an electron, what is the charge on each sphere after separation?

Sphere X Sphere Y
A +500 +500
B +250 +250
C -250 +250
D -250 -250
E -500 -500​

Homework Equations


n/a ?

The Attempt at a Solution


I think the answer is D.
Since the metal spheres touch each other electrons will be transferred from sphere Y to sphere X so that both have the same charge.
Is this correct? I
 
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If the unit of charge is e then I agree.
You mean to say that there are 250 electrons on each of the two spheres.
One electron is -e, so 250 electrons is -250e

If the exercise is literally as you present it, the formulation is a bit unfortunate, but that's not your problem :wink:
 
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BvU said:
If the unit of charge is e then I agree.
You mean to say that there are 250 electrons on each of the two spheres.
One electron is -e, so 250 electrons is -250e

If the exercise is literally as you present it, the formulation is a bit unfortunate, but that's not your problem :wink:
Thanks. I need to get better at my formulation anyways...
 
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