Electrical field of an equialateral triangle

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SUMMARY

The discussion focuses on calculating the electric field at the center of an equilateral triangle formed by three rods, each 10 cm long, with two rods carrying a charge of +63 nC and one rod carrying -63 nC. The formula used for the electric field due to a rod is E_Rod = KQ / (d*sqrt(d^2 + (L/2)^2)), where K is the Coulomb's constant (9.0 x 10^9 N m²/C²), Q is the charge, d is the distance from the center, and L is the length of the rod. The correct distance from the center to each rod is 4.33 cm. The user initially miscalculated the net electric field but resolved the issue by correctly analyzing the triangle's height and the forces involved.

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  • Understanding of electric fields and Coulomb's law
  • Familiarity with vector components in physics
  • Knowledge of geometry related to equilateral triangles
  • Proficiency in using mathematical formulas for electric fields
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This discussion is beneficial for physics students, educators, and anyone interested in electrostatics, particularly those studying electric fields generated by charged objects in geometric configurations.

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Homework Statement


An equilateral triangle is formed with 3 rods, each with a length of 10cm. Two of them carry a charge of +63nC and 1 carries a charge of -63nC. The charge is uniformly distributed along each rod. What is the magnitude of the electric field at the center of the triangle?


Homework Equations


E_Rod = KQ / (d*sqrt(d^2 * (L/2)^2))


The Attempt at a Solution


Center of triangle is 4.33cm, or .0433m from each rod.

Constant K = 9.0*10^9
Q: Charge
d: Distance
L: Length of rod
E_Rod = KQ / (d*sqrt(d^2 * (L/2)^2))
E_Rod = (9.0*10^9)Q / (.0433sqrt(.0433^2 + .05^2))
Plugging in 63*10^9, 63*10^9, and -63*10^9, I receive:
E_Rod(1,2,3) = 197976,197976,-197976

Adding the three gives me a net E_rod = 197976, which is wrong.
 
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draw a picture of the forces involved. Split them up in horizontal and vertical components and add those.
 
Thanks.. Figured it out. Also figured out I was calculating the triangle height wrong.
 

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