A charge of #-2 C# is at #(-5 , 1 )# and a charge of #-3 C# is at #(0 ,4) #. If both coordinates are in meters, what is the force between the charges?
We can solve this equation by using Coulomb's law, which relates the magnitude of the electric force between two point charges, and in equation form is
Now that we have all the variables needed, the magnitude of the electric force between the two points is
Since both point charges are negative, the force is repulsive, and is the magnitude of the force the particles act upon each other.
If you want the direction of the force, which completes the vectoral description of the force of repulsion, we can use the fact that the force of object
If we let the point with charge
The direction of