Finding Electric Forces Between Identical Spheres

AI Thread Summary
To find the electric force between two identical conducting spheres with charges of 12.0 nC and -18.0 nC, the formula F_e = (k_e)*(q1*q2)/(r^2) is used, where k_e is 8.99e9 N*m^2/C^2 and r is the distance between the spheres, 0.300m. The discussion highlights confusion regarding the signs of the charges and their impact on the direction of the force. It is emphasized that the direction of the forces depends on the nature of the charges: like charges repel and opposite charges attract. After connecting the spheres with a wire, they reach equilibrium, resulting in equal charge distribution and a new force calculation. Understanding the signs and directionality is crucial for solving the problem accurately.
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Homework Statement


Two identical conducting small spheres are placed with their centers 0.300m apart. One is given a charge of 12.0 nC and the other a charge of -18.0 nC. a) Find the electric force exerted by one sphere on the other. b) Next, the spheres are connected by a conducting wire. Find the electric force between the two after they have come to equilibrium.


Homework Equations


F_e = (k_e)*(q1*q2)/(r^2)


The Attempt at a Solution


k_e is a constant of 8.99e9 N*m^2/C^2
plug the rest but I just don't understand the signs that well. Also when do i use the directional equation.
 
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For the signs, I suggest you think about what direction forces have depending on their charges instead of trying to to plug them into the equation.
 
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