Vector Analysis of Point Charges: Solving for Net Force

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SUMMARY

The discussion focuses on calculating the net force acting on point charges using vector analysis. The user successfully derived the forces between charges using Coulomb's Law, specifically applying the formula F = k * (q1 * q2) / r^2. The calculated forces include F_1,2 = 0.225i, F_3,2 = 0.9j, and F_4,2 = 0.161i + 0.080j, leading to a net force of ΣF = 0.386i + 0.98j. The calculations were confirmed as correct by another user.

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  • Coulomb's Law for electrostatic force calculations
  • Vector addition and decomposition in two dimensions
  • Basic trigonometry, including the use of arctangent
  • Understanding of point charge interactions in physics
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Homework Statement


i think i may have solved this but I am worried I am wrong because it seemed too simple. I wouldn't bother posting too check except that its for an assignment... the question is in the attachment- can someone please check this!

Homework Equations


The Attempt at a Solution

F_1,2=(3*10^(-6)^2*9*〖10〗^9)/〖0.6〗^2
=0.225i

F_3,2=(3*10^(-6)^2*9*〖10〗^9)/〖0.3〗^2
=0.9j

F_4,2=(3*10^(-6)^2*9*10^9)/(〖0.6〗^2+〖0.3〗^2 )
=0.18cosθ+0.18 sinθ
θ=tan^(-1)〖0.3/0.6〗
F_4,2=0.161i+0.080j

ΣF=0.161i+0.225i+0.9j+0.080J
=0.386i+0.98j
 

Attachments

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that looks correct,
 
thanks ush - can't get the other one though
 

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