Net Force on Center Charge of Four Point Charges

AI Thread Summary
The discussion revolves around calculating the x-component of the net force on a central charge placed at the origin of a square formed by four other charges at its corners. The charges are defined as Aq, Bq, Cq, Dq, and Eq, with specified values and positions. Participants have applied Coulomb's law to determine the forces exerted by each charge and attempted to sum these forces, factoring in the angle of 45 degrees. They consistently arrive at a force value of 0.1249 N but are uncertain about the accuracy of their calculations. The conversation seeks clarification on whether their approach is correct or if any steps are overlooked.
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Homework Statement



Four charges Aq,Bq,Cq, and Dq (q = 2.50 x 10-07C) sit in a plane at the corners of a square whose sides have length d = 69.5 cm, as shown in the diagram below. A charge, Eq, is placed at the origin at the center of the square.

DATA: A = 2, B = 8, C = 5, D = 4, E = -4. Consider the charge at the center of the square. What is the x-component of the net force on this charge?

Homework Equations



How do we set this up?

The Attempt at a Solution


We have found the charges of each of the electrons using Columns law, and then added the forces of each up and then multiplied it by cos(45deg). Each time we get .1249 N.
 
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We are not sure if this is the correct answer or if we are missing something. Any help would be greatly appreciated!
 

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