Coulomb's Law (Finding magnitude & direction of net force)

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SUMMARY

The discussion focuses on calculating the net force acting on three positive particles, each with a charge of +11.5 µC, positioned at the corners of an equilateral triangle with a side length of 13.0 cm. The participant attempts to solve for the net force on one particle using Coulomb's Law, specifically the equation k*|q1||q2| / r². The participant's calculation for the y-component of the force results in an incorrect value of 0.0122, indicating a potential error in unit conversion or application of the formula.

PREREQUISITES
  • Coulomb's Law for electrostatic force calculations
  • Understanding of vector components in physics
  • Basic trigonometry, specifically sine functions
  • Unit conversion for charge and distance measurements
NEXT STEPS
  • Review the application of Coulomb's Law in multi-particle systems
  • Study vector addition and resolution of forces in two dimensions
  • Learn about the significance of unit consistency in physics calculations
  • Explore the concept of symmetry in force diagrams
USEFUL FOR

This discussion is beneficial for physics students, educators, and anyone involved in electrostatics or force calculations, particularly in understanding the interactions between charged particles in a geometric arrangement.

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Homework Statement



Three positive particles of equal charge, +11.5 µC, are located at the corners of an equilateral triangle of side d = 13.0 cm (Fig. 16-50).

Calculate the magnitude and direction of the net force on each particle.

Image is here: http://www.webassign.net/giancoli5/16-38alt.gif


Homework Equations



k*|q1||q2| / r2



The Attempt at a Solution



Solving for net force on Q1:
Ok, I drew a free body diagram. The force from q2 goes up and to right, q3 goes up and to left. I thought that since the x values will be the same due to symmetry, I could cancel them out and solve for the y value.

So, I can find one force and multiply by two since they will be the same.

I did 2 * { (9e9 * 11.5e-6 * 11.5e-6)/132 } * sin60

I multiplied by sin60 to get the y value.

My answer is coming out to be .0122, which is wrong. I'm not sure what I'm doing wrong. Can someone please explain? Thanks!
 
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Check your units for d! :)
 

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