Charges set on 4 corners of a square

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SUMMARY

The discussion centers on calculating the net force exerted on a negative charge (-Q) placed at one corner of a square by three positive charges (+Q) located at the other corners. Given that Q = 1.00 milli-coulomb and the square's side length is 1.00 m, the relevant formula for force is F = kq1q2/d², where k = 8.99 x 10⁹ N-m²/C². The solution involves using the Pythagorean theorem to determine the resultant force from the two adjacent positive charges and then adding this to the force from the third positive charge to find the total net force.

PREREQUISITES
  • Understanding of Coulomb's Law for electrostatic forces
  • Familiarity with the Pythagorean theorem
  • Basic knowledge of vector addition in physics
  • Ability to perform calculations involving milli-coulombs and Newtons
NEXT STEPS
  • Study Coulomb's Law and its applications in electrostatics
  • Learn about vector addition and how to resolve forces into components
  • Explore the Pythagorean theorem in the context of physics problems
  • Practice similar problems involving multiple charges and net force calculations
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Students in physics courses, particularly those studying electrostatics, as well as educators looking for examples of force calculations involving multiple charges.

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Homework Statement


Three point charges +Q are placed at three corners of a square, and a charge -Q is placed at the fourth corner. If Q = 1.00 milli-coulomb and the side of the square has length 1.00 m, find the magnitude of net force that the positive charges exert on the negative charge. |F|=


Homework Equations


F = kq1q2/d2
k = 8.99 x 109 N-m2/C2

The Attempt at a Solution



I've tried this problem three times and i only have 2 more attempts to get it right so can anyone help me with this?
 
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Sure, we can help you, but show us what work you've done on it first.
 
You have to use pythagorean theorem to first find the total force F by the 2 charges adjacent to the negative charge. This force F would lie on the same direction as the force from the 3rd positive charge (and that is because the forces from the 2 adjacent charges are both equal in magnitude and vertical to each other) so to find the net force u just add F and the force from the 3rd charge.
 

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