Coulomb's Law (Finding the force due to two other charge, not only one)

AI Thread Summary
To determine the electric forces on the charges, Coulomb's Law is applied, using the formula Fe = kq1q2/D². The user calculates the force between a 10 micro Coulomb charge and a 2 micro Coulomb charge, resulting in a force of 36N, and between the 10 micro Coulomb charge and a 5 micro Coulomb charge, yielding 90N. The net force on the 10 micro Coulomb charge is then calculated as 54N by subtracting the forces. It is emphasized that the problem requires considering both x- and y-components of the forces due to the two other charges. The principle of superposition is crucial for finding the total force vector acting on the charge.
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Homework Statement


In the figure below, determine (a) the electric force on 10 micro Coulomb due to other charges, and (b) the electric force on 2 micro Coulomb due to other charge


Homework Equations


Coulomb's Law

Fe = kq1q2/D²
k = 9.0 x 10^9

The Attempt at a Solution



I really don't know what to do since there are three charges and I should get the Fe due to other two charges. Should I get the Fe in each charge then subtract it? :confused:

(a)
10 and 2

Fe = 9x10^9(10x10^-6)(2x10^-6) / 0.005
Fe = 36N

Fe = 9x10^9(10x10^-6)(5x10^-6) / 0.005
Fe = 90N

Fe of 10micro Coulomb = 90 - 36 = 54N?

I really don't know, but I'm trying my best.
 

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Pick an origin first. It doesn't really matter where you place it, but I usually place it on the particle that you are trying to determine the E field for. This is a two dimensional problem, so determine the x- and y- components of the force on the particle due to each individual particle. To find the total force on the particle, add the x- and y-components together (principle of superposition); this gives you the force vector acting on the particle.
 
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