What is the Electric Force in Equilibrium?

In summary, two identical conducting small spheres with charges of 12.0 nC and -18.0 nC, placed 0.300 m apart, experience an initial electric force of -2.1576 x 10^5 N. After being connected by a conducting wire and reaching equilibrium, the total charge of the system is -6.0 nC, with each sphere having a charge of -3.0 nC. The resulting electric force between the spheres is then calculated using the same formula as before, with -3.0 nC as both q1 and q2.
  • #1
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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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  • #2
The resultant charge is the sum of the original charges. What is it?
 
  • #3
-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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  • #4
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.
 
  • #5
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?
 

Related to What is the Electric Force in Equilibrium?

What is electric force equilibrium?

Electric force equilibrium is a state in which the net electric force on an object is equal to zero. This means that the object is not accelerating and is either at rest or moving at a constant velocity.

How is electric force equilibrium achieved?

Electric force equilibrium is achieved when the electric forces acting on an object are balanced. This can be achieved by either having equal and opposite charges on either side of the object, or by having the object placed at a point in space where the electric field is zero.

What is the significance of electric force equilibrium?

Electric force equilibrium is important because it allows us to understand the behavior of charged objects and predict how they will interact with each other. It also helps us to design and create devices that utilize electric forces, such as capacitors and electric motors.

What factors affect electric force equilibrium?

The factors that affect electric force equilibrium include the distance between charged objects, the magnitude and sign of the charges, and the presence of other external forces such as gravity or friction.

How is electric force equilibrium related to Coulomb's law?

Electric force equilibrium is directly related to Coulomb's law, which states that the force between two charged objects is directly proportional to the product of their charges and inversely proportional to the square of the distance between them. When the forces are balanced, the net force is equal to zero, and this is referred to as electric force equilibrium.

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