What is the Electric Force in Equilibrium?

AI Thread Summary
The discussion centers on calculating the electric force between two charged spheres and their equilibrium state after being connected by a conductive wire. Initially, one sphere has a charge of 12.0 nC and the other -18.0 nC, resulting in a calculated electric force of -2.1576 x 10^5 N. When connected, the total charge of the system is -6.0 nC, which is conserved, leading to a redistribution of charge between the spheres. Each sphere ends up with a charge of -3.0 nC, and this new charge can be used to calculate the repulsive force using the original formula. Understanding charge distribution in conductive materials is crucial for solving the problem accurately.
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Homework Statement


Two identical conducting small spheres are placed with their centers .300 m apart. One is given a charge of 12.0 nC and the other is given a charge of -18.0nC. a) Find the electric foce exterted on one sphere by the other. B) the sphers are connected by a conducing wire. Find the electric force between the two after they have come to equilibrium.



Homework Equations


F=(((q1)(q2))/r^2)(8.99 x 10^9 N M^2/c^2)



The Attempt at a Solution


I used the above equation to calculate the charge to be -2.1576 x 10^5 N. for problem A. For B, I am curious if I'm simplyfying to much, but since there is equilibrium would the resulting charge be zero?

Thank you for the help!
 
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The resultant charge is the sum of the original charges. What is it?
 
-6.0 nC because there is still a disproportionate number of electrons within the system? Is it found by adding the two forces together?
 
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It's -6.0 nC because one sphere had +12 and the other had -18. The total charge of the system must be conserved.

You need to figure out how this charge is divided between the two spheres, though.
 
Is it an even -3.0nC charge in each sphere because the spheres and the connecting wire are both conductive so the electrons are equally spaced?

Then using the -3.0nC in the original formula as both q1 and q2 to calculate the new repulsive force?
 
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