Electric potential at a point between 3 point charges

AI Thread Summary
The discussion revolves around calculating the total electric potential at a specific point between three point charges in a coordinate system. The charges are Q1 = -3 µC, Q2 = 10 µC, and Q3 = -3 µC, with the goal of determining the value of x that makes the potential at (x/2, 0) equal to zero. The initial attempt at the solution incorrectly applied the formula for electric potential, prompting a suggestion to revise the calculations. The correct approach involves using the formula V = k([-3/(x/2)] + 10/sqrt[(0.5)^2 + (x/2)^2] + (-3/(x/2))). The discussion emphasizes the importance of accurate mathematical representation to solve for the potential effectively.
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Homework Statement



Three pointcharges are located at the following points on an x-y coordinate system, Q1 = -3 uC at (0,0) q2 = 10.0 uc at (0,0.5m), and q3 = -3 uC at (x,0) . What is the total electric potential at the point (x/2,0) where x is in units of m. At what value does x have to be, for the potential at point (x/2,0) =0

Homework Equations



Vp =V1+v2+v3
V= k * q/r

The Attempt at a Solution


V= k([-3/(x/2)) + (10/(sq rt (.5 =(x/2)))+(-3/(x/2))

Am I going about this wrong? Should i do a vector analysis of the electric field? How do i get this to all = 0?
 
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V= k([-3/(x/2)) + (10/(sq rt (.5 =(x/2)))+(-3/(x/2))
It is wrong.
It should be
V= k([-3/(x/2)] + 10/sq rt[ (.5)^2 +(x/2)^2]+(-3/(x/2))*10^-6
 
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