How Do You Calculate the X Component of Force in Coulomb's Law?

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SUMMARY

The discussion focuses on calculating the x and y components of the total force exerted on a charge q3 = 4 nC by two other charges, q1 = -3 nC and q2 = 2 nC, using Coulomb's Law. The user successfully calculated the y-component of the force as -3.45 x 10^-5 N. For the x-component, the correct approach involves determining the force between charges q2 and q3 and subtracting the x-component of the force between q1 and q3, resulting in an x-component of approximately 5.4 x 10^-5 N in the positive x direction.

PREREQUISITES
  • Coulomb's Law (f = k(q1q2/r^2))
  • Understanding of vector components in physics
  • Basic knowledge of electrostatics
  • Familiarity with coordinate systems (xy-coordinate system)
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  • Study the concept of vector addition in force calculations
  • Learn about electric field strength and its relation to force
  • Explore the principles of superposition in electrostatics
  • Investigate the effects of multiple charges on a single charge in a system
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Students studying physics, particularly those focusing on electrostatics and force calculations, as well as educators looking for examples of Coulomb's Law applications.

nateastle
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I believe this is the right place for this question. I am strugling with getting this homework problem setup. The question is:

A charge q1 = -3 nc is placed at the origin of an xy-cordinate system, and a charge q2=2.00nC is placed on the positive y Axis at y=4cm. If a third charge q3 =4nC is now placed at point x=3 cm, y=4cm, find the x and y componets of the total force exerted on this charge by the other two.

I have setup my grid and figured out the force on the y Axis is -3.45 X 10^-5 (or at least I hope that is correct) but I am having problems figuring out how to setup the problem to get the force on the x axis. If I didn't calculate the force right for the y-axis please let me know. I have been using coulombs law of f=k(q1q2/r^2)
 
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nateastle said:
I believe this is the right place for this question. I am strugling with getting this homework problem setup. The question is:

A charge q1 = -3 nc is placed at the origin of an xy-cordinate system, and a charge q2=2.00nC is placed on the positive y Axis at y=4cm. If a third charge q3 =4nC is now placed at point x=3 cm, y=4cm, find the x and y componets of the total force exerted on this charge by the other two.

I have setup my grid and figured out the force on the y Axis is -3.45 X 10^-5 (or at least I hope that is correct) but I am having problems figuring out how to setup the problem to get the force on the x axis. If I didn't calculate the force right for the y-axis please let me know. I have been using coulombs law of f=k(q1q2/r^2)
Your answer for the force on the y-axis is correct, in Newtons. The force in the +x direction is the force between charge 2 and 3 less the x component of the force between 1 and 3 (which is in the - x direction). I get about 5.4 x 10-5 N. in the + x direction.

AM
 
thank you for the help.
 

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