Three electrons form an equilateral triangle

AI Thread Summary
The discussion revolves around calculating the potential energy of a system consisting of three electrons arranged in an equilateral triangle with a proton at the center. The known variables include the side length of the triangle and the charges of the proton and electrons. The attempted solution uses the formula for potential energy, but the poster encounters an error in sign due to a double negative in the calculation involving the proton's attraction to the electrons. It is clarified that the potential energy contribution from the proton should be negative, reflecting the attractive force. The thread emphasizes the importance of correctly applying signs in calculations involving electrostatic forces.
t.kirschner99
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1. Homework Statement

Three electrons form an equilateral triangle 1.00nm on each side. A proton is at the center of the triangle. What is the potential energy of this group of charges?
Known Variables:
s = 1.00 × 10-9m
p+ Charge = 1.60 × 10-19C
e- Charge = -1.60 × 10-19C
r = s/√(3) = 5.77 × 10-10m

Homework Equations



ΔU = (kq1q2)/ r

The Attempt at a Solution


[/B]
ΔU = k[(3(-1.60×10-19)2))/(1.00×10-9) - ((3(1.60×10-19)(-1.60×-19))/(5.77 × 10-10))]

For some reason I cannot get the answer, and I was wondering if anyone could spot my error. Thanks!
 
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The term with denominator 5.77x10^-10 should be negative but you have a double minus sign which makes it positive. The potential energy of the proton due to the 3 electrons should be negative due to the attraction.
 
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