Four charges in a plane. Finding the resultant Force

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SUMMARY

The discussion focuses on calculating the resultant force among four charges in a plane using Coulomb's Law, specifically the equation kq1q2/r^2, where k is 8.98755 x 10^9 N m²/C². Participants described their methods of breaking down the forces into x and y components and applying the Pythagorean theorem to find the resultant force. A key point raised was the importance of correctly determining the direction of the forces based on the nature of the charges, as like charges repel and unlike charges attract.

PREREQUISITES
  • Coulomb's Law for electrostatic forces
  • Vector decomposition into x and y components
  • Pythagorean theorem for resultant force calculation
  • Understanding of charge interactions (like vs. unlike charges)
NEXT STEPS
  • Review Coulomb's Law applications in electrostatics
  • Practice vector addition and decomposition techniques
  • Explore graphical methods for visualizing force interactions
  • Study the effects of multiple charges on resultant forces
USEFUL FOR

Students in physics, particularly those studying electrostatics, as well as educators and anyone involved in solving problems related to electric forces and charge interactions.

rphung
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Homework Statement


number4.jpg



Homework Equations


kq1q1/r^2
k being 8.98755 x 10^9


The Attempt at a Solution



I found the 3 forces between the 3 charges using the above equation. I split up the forces into x and y compnents. Added the sum of the y's and the x's. Used Pythagorean theorem to find the resulting force. I could not get the correct answer.
 
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rphung said:

The Attempt at a Solution



I found the 3 forces between the 3 charges using the above equation. I split up the forces into x and y compnents. Added the sum of the y's and the x's. Used Pythagorean theorem to find the resulting force. I could not get the correct answer.

Well since you didn't post your calculation and you did do the question how you were supposed to do it.The most I can say is that you probably drew the forces going in the wrong direction. Like charges repel and unlike attract.
 
My resulting vector was pointing towards the first quadrant. Is that right?
 

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