Angle of electric field line heading to infinity

AI Thread Summary
The discussion focuses on determining the point on the x-axis where the electric field is zero due to two charges, 2q and -q, located at x=0 and x=a, respectively. The solution for part (a) is identified as x = a(2 + sqrt(2)). For part (b), the challenge lies in finding the angle at which electric field lines leave the 2q charge, particularly those that transition between connecting to the -q charge and heading off to infinity. Participants are seeking guidance on how to approach this angle calculation. The conversation emphasizes the need for clarity in understanding electric field line behavior in relation to the charges.
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Homework Statement


Charges 2q and -q are located on the x-axis at x=0 and x=a respectively.

(a) Find the point on the x-axis where the electric field is zero, and make a rough sketch of some field lines.

(b) You should find that some of the field lines that start on the 2q charge end up on the -q charge, while others head off to infinity. Consider the field lines that form the cutoff between these two cases. At what angle (with respect to the x axis) do these lines leave the 2q charge?

Homework Equations


E = 1/(4*pi*e0) q^2/r^2

The Attempt at a Solution



I found the solution for part (a) to be x = a(2 + sqrt(2)), but part (b) has me stumped and I'm not really sure how to approach it. Any pointers in the right direction would be greatly appreciated.
 
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