Electric Field of Two Point Charges on the x-axis

AI Thread Summary
The discussion centers on calculating the electric field created by two point charges, q1 and q2, positioned on the x-axis. The first part involves determining the electric field at the origin due to these charges, which has been solved by one participant. The second part seeks assistance in finding the x-coordinate on the positive x-axis where the electric field equals zero, indicating no net force on a test charge. Participants express uncertainty about the approach to solve this, particularly regarding the necessary conditions for equilibrium. Guidance is requested to clarify the method for finding the zero electric field point.
Ryo124
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Two point charges, q1 = 4.0×10-6 C and q2 = -1.0×10-6 C, are located on the x-axis at x1 = -1.0 cm and x2 = 3.0 cm.

(a) Determine the electric field at the origin.

(b) Determine the x coordinate of a point on the positive x-axis where the electric field is zero; i.e., a test charge placed at this point would experience no force.

3. The Attempt at a Solution

I have no idea
 
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OK, I solved part a) and found the electric field at the origin.

Can someone help me with part b), I really don't have a clue on how to solve this other than setting F = 0 (which may not be necessary anyway).
 
I am really interested in what this answer would be, as I have thought about it a lot. Could someone please guide me to the answer?
 
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