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

[idk11]

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.

 

[Redbelly98]

Welcome to PF

(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.

 

[nlightner]

I would first like to commend you for attempting the problem and doing your own calculations. It is important to show your work and understand the equations and concepts involved in solving a problem like this.

Based on the equations you have provided, it seems like you have set up the problem correctly. However, I would suggest double checking your calculations and making sure you are using the correct values for the charges and the distance (10 cm or 0.1 m). It is also important to pay attention to the units and make sure they are consistent throughout your calculations.

If you are still having trouble getting the correct answer, I would suggest seeking help from a teacher or tutor. They can guide you through the problem and help identify any mistakes you may have made.

Overall, it is important to not get discouraged and keep trying. As a scientist, we often encounter challenges and it is through perseverance and problem-solving skills that we are able to find solutions. Good luck with your homework!