What is the Angle θ for No Net Force on Electron 2?

AI Thread Summary
To find the angle θ for no net force on electron 2, the electric fields from charges 3 and 4 must balance each other out. The relevant equations for electric field calculations are E=(k*q)/r² and E=(k*Q*q)/r², where k is the Coulomb's constant, q is the charge of the electron, Q is the charge of the fixed particles, and r is the distance from the charges. The problem involves determining θ as a function of N, where N represents the integer related to the charge magnitude. Further clarification on the setup and calculations is needed to proceed effectively. Understanding the balance of forces is crucial for solving this problem.
aaronmilk3
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In the figure shown, electrons 1 and 2 are on the x-axis while charges
3 and 4 are on the y-axis. The charges 3 and 4 are identical with
charge -Ne and at identical angle θ(theta). N is an integer. Electron 2 is
free to move while the other charges are fixed in place a horizontal
distance R from electron 2. Determine the angle as a function of
N so that electron 2 experiences no net force.

Here is a link to the image included with the problem.
http://img.photobucket.com/albums/v720/l…

I thought I would use the equation E=(k*q)/r² or use E=(k*Q*q)/r²

E=electric field
k=constant 8.99x10^9
q= the charge
Q= the other charge
r= radius


Even help with the first step will likely help so I can get on the right path. I'm not sure how to do this one at all. Just trying to study for a test on Friday and pulling out problems that I do not know how to do. Thank you in advance!
 
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