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

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SUMMARY

The discussion focuses on applying Coulomb's Law to calculate the electric forces acting on two charges: 10 micro Coulombs and 2 micro Coulombs. Using the formula Fe = kq1q2/D², where k = 9.0 x 10^9, the calculated force between the charges is 36N and 90N, leading to a net force of 54N on the 10 micro Coulomb charge after considering the contributions from both charges. The principle of superposition is emphasized for determining the total force vector by calculating the x- and y-components of the forces.

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  • Coulomb's Law and its mathematical formulation
  • Understanding of electric charge units (micro Coulombs)
  • Vector addition and components in two-dimensional space
  • Basic principles of electrostatics
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  • Study the principle of superposition in electrostatics
  • Learn about vector decomposition in two dimensions
  • Explore more complex applications of Coulomb's Law
  • Investigate the effects of multiple charges on a single 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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