QUOTE(Critical_Fallacy @ Dec 23 2013, 10:56 PM)
Topping up on VengenZ statement, if you are evaluating the potentials along the x-axis, these neutral “points” (V = 0) are not really discrete points in a two-particle configuration in the x-direction. In fact, the electric potential was found to be zero for all values of y at specific x positions. These neutral positions can be determined fairly easily once you understand the concept as shown graphically below.

Using the formula for finding the Electric Potential V due to two point Charges q,

it can be shown that
.
If we set

it follows that
.
Similarly, using algebraic manipulations, you can determine the position of the neutral point, if it is located at the LEFT side of the positively-charged particle,
.
You were not alone!
sorry i cant understand your explainaton in post #399... would you mind to explain based on the photo attached on post#396? 
Using the formula for finding the Electric Potential V due to two point Charges q,

it can be shown that
.If we set

it follows that
.Similarly, using algebraic manipulations, you can determine the position of the neutral point, if it is located at the LEFT side of the positively-charged particle,
. You were not alone!
Dec 23 2013, 11:37 PM

Quote
. The electric potential is zero ONLY when at the center of an electric dipole (a pair of electric charges of equal magnitude but of opposite sign or polarity).
.
.
for simplification.
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