Magnitude/direction of point charges

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SUMMARY

The net electrostatic force on point charge q3, with q = +1.5 µC and d = 27 cm, was calculated with Fx = 1.7 N and Fy = 3.3 N. The total force magnitude was incorrectly stated as 3.3 N; the correct total magnitude is calculated using the formula F = √(Fx² + Fy²), resulting in approximately 3.8 N. The angle of the force direction was miscalculated as 62.74 degrees using tan^-1(Fy/Fx), which requires verification of the correct magnitude before recalculating the angle.

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  • Understanding of electrostatics and Coulomb's Law
  • Proficiency in vector addition and trigonometry
  • Familiarity with calculating forces in two dimensions
  • Knowledge of units in the metric system, specifically microcoulombs (µC) and newtons (N)
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  • Study the concept of angles in trigonometry, particularly in relation to force vectors
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ajmCane22
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Homework Statement



(a) Find the magnitude and direction of the net electrostatic force exerted on the point charge q3 in the figure below. Let q = +1.5 µC and d = 27 cm.

http://www.webassign.net/walker/19-31.gif

Homework Equations





The Attempt at a Solution



I found Fx = 1.7 N and Fy = 3.3 N. So the total magnitude was 3.3 N. This part was correct, however when I tried to find the magnitude usting tan^-1(Fy/Fx) = tan^-1(3.3/1.7) = 62.74 degress the answer is wrong. It says I'm within 10%, but still wrong. I don't understand why. Please help
 
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ajmCane22 said:

Homework Statement



(a) Find the magnitude and direction of the net electrostatic force exerted on the point charge q3 in the figure below. Let q = +1.5 µC and d = 27 cm.

http://www.webassign.net/walker/19-31.gif

The Attempt at a Solution



I found Fx = 1.7 N and Fy = 3.3 N. So the total magnitude was 3.3 N. This part was correct, however when I tried to find the magnitude using tan^-1(Fy/Fx) = tan^-1(3.3/1.7) = 62.74 degrees the answer is wrong. It says I'm within 10%, but still wrong. I don't understand why. Please help

If Fx = 1.7 N and Fy = 3.3 N , then the magnitude of F cannot be 3.3 N

Show your work so we can help find where you're going wrong.
 

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