Electric Forces; Coloumb's Law question

AI Thread Summary
Three negatively charged spheres, each with a charge of 4.0 X 10^-6 C, are positioned at the vertices of an equilateral triangle with sides measuring 0.20m. The net electric force on each sphere is influenced by repulsive forces from the other two spheres, calculated using Coulomb's Law. The initial calculations yield a force of 3.6N between each pair of spheres, but the user struggles with vector addition to find the net force. It is emphasized that forces must be treated as vectors, requiring proper directional consideration for accurate results. Understanding vector addition is crucial for solving the problem correctly.
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Homework Statement


three spheres, each with a negative charge of 4.0 X 10^-6 C, are at the vertices of an equilateral triangle whose sides are 0.20m long. Calculate the magnitude and direction of the net electric force on each sphere.


Homework Equations



Fe= kq1q2/r^2, where k is the constant, k=9.0 X 10^9 N*m^2/C^2

The Attempt at a Solution



i plugged in the values..but I don't seem to be getting the answer. There are 2 forces acting on each of the spheres, right? the answer is 6.2N
 
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Saying "I plugged in" is not telling us what you did. Yes there are two forces acting on each charge. How are they acting? How did you combine them?
 
since Fe=kq1q2/r^2
Fe= k*(4.0 X 10^-6C)^2/ (0.20m)^2
Fe= 3.6N


how are they acting? they are supposed to repel each other, but i don't understand how that would affect the magnitude of the force. To combine them, i think i have to add 3.6N + 3.6N..but that isn't working. What do you think?
 
fyzikschik said:
since Fe=kq1q2/r^2
Fe= k*(4.0 X 10^-6C)^2/ (0.20m)^2
Fe= 3.6N


how are they acting? they are supposed to repel each other, but i don't understand how that would affect the magnitude of the force. To combine them, i think i have to add 3.6N + 3.6N..but that isn't working. What do you think?

I think you need to remember that forces are vectors and need to be added as directional quantities. I did not check your numerical calculation, but I expect the vector addition is your problem.
 
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