How Do You Calculate Electrostatic Force Between Charges?

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SUMMARY

The discussion focuses on calculating the electrostatic force between two positive point charges of 1.5 × 10−9 C, positioned at y = +0.50 m and y = −0.50 m, with a third charge of 1.0 × 10−9 C located at x = 0.55 m. The Coulomb constant used is 8.98755 × 10^9 N · m²/C². The initial calculation of the force was incorrect due to neglecting vector addition and the y-components of the forces. The correct approach involves treating the forces as vectors and considering the geometry of the charge placement.

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  • Understanding of Coulomb's Law and electrostatic forces
  • Familiarity with vector addition in physics
  • Basic knowledge of charge placement in a coordinate system
  • Concept of electric field and force diagrams
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Two positive point charges, each of which
has a charge of 1.5 × 10−9 C, are located at
y = +0.50 m and y = −0.50 m.
The Coulomb constant is 8.98755 ×
10^9 N · m2/C2.
a) Find the magnitude of the resultant elec-
trical force on a charge of 1.0×10−9 C located
at x = 0.55 m.
Answer in units of N.

So I drew out a force diagram and thought that the equation would be:
Fel=kc(Q1*q/d1^2)+kc(Q2*q/d2^2) where the q is the 1.0e-9C charge.
Fel=(8.98755e9)(1.5e-9*1.0e-9/.0025)+(8.98755e9)(1.5e-9*1.0e-9/1.1025)
so Fel=5.404757e-6

Apparently that was the wrong answer. Does anybody know or want to explain how I should now re-examine the problem?
 
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The force from each charge is a vector. You have to add them like vectors, not numbers--the direction matters. Hint: What happens to the y-components?

Also: What's the distance between the charges?
 
yeah...I missed the fact that q was on the x axis. makes sense now. Thank you for your help!
 
I have a question about the operation of the electrostatic force. I solved the Maxwell's equations in a pure static electric conditions and the result I got does not look like a wave equation. If that is the case, then what is the speed of electrostatic interaction in free space? And what is the messenger particle?
 

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