Electromagnetism: Possible Trick Question?

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SUMMARY

The discussion revolves around a graduate-level electromagnetism problem involving two small conducting spheres with charges of 2x10^-9 C and -0.4x10^-9 C. The first part requires calculating the electrostatic force between the spheres when they are 4 cm apart using Coulomb's Law. The second part addresses the scenario where the spheres are brought into contact, resulting in charge transfer, and then separated again by the same distance, prompting a debate on whether the force would be zero or not due to the nature of the charges involved.

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The nature of this problem seems like it is elementary E&M, but it is in my graduate electromagnetism class so I didn't know the proper section to post it.

Homework Statement


Two small conducting spheres have charges of 2x10^-9 C and -0.4x10^-9 C.

a.) When they are placed 4 cm apart what is the force between them?
b.) If they are brought into contact, and then separated by 4 cm, what is the force between them? [Note: Indicate attractive or repulsive force.]

Homework Equations


Coulombs Law I assume.

The Attempt at a Solution


It seems to me that you should treat these small spheres as point charges and simply use coulombs law to find the force. The tricky part is, how would bringing them together and then separating them change the force between them if they are the same distance apart?

The only thing I can think of is that for part A, you simply calculate the electrostatic force between the spheres, treating them as point charges. For part B I am thinking that the force between them might be zero because you would have to be pulling them apart with an equal an opposite force to keep them from coming into contact with each other. Does this seem too abstract? I can't imagine the answer to B being the same as the answer to A unless its a trick question!
 
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When they touch charge will be transferred (the spheres are conducting)
 
technician said:
When they touch charge will be transferred (the spheres are conducting)

Excellent point! I knew there was something to this problem..

Thanks!
 

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