Solve Electric Field Homework: Find x Coordinate for E=0

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SUMMARY

The discussion centers on solving an electric field homework problem involving two point charges: a 1.8e-6 C charge at the origin and a -7.71e-6 C charge located 10 cm to the right. The objective is to find the x-coordinate where the total electric field (E) equals zero. The relevant equation is Etot = E1 + E2, leading to the equation (-k*q1/x^2) + (k*q2/(0.1+x)^2) = 0. The participant's calculations consistently yield an x-coordinate of 1.96 cm, suggesting a potential solution pathway through simplification of the equation.

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  • Knowledge of point charge interactions
  • Basic calculus concepts for solving equations
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Homework Statement



A 1.8e-6 C charge is at the origin, while a -7.71e-6 C charge is 10cm to the right of it. Locate the x coordinate such that E=0. Note: q1 is at the origin O. Answer in units cm.


Homework Equations



Etot=E1+E2
Etot=(-k*q1/x^2)+(k*q2/(0.1+x)^2)
(k*q1/x^2)=(k*q2/(0.1+x)^2)

The Attempt at a Solution



I promise you I have attempted this equation. I'm not going to type it all out here. I have a sheet full of scratch work. The answer I keep getting is 1.96.
 
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(k*q1/x^2)=(k*q2/(0.1+x)^2)

I'm not sure where you went from here. But if you take the square root on both sides of the equation, at least you will not have to solve a quadratic.
 

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