Solving for force in vectors of Electric Field

AI Thread Summary
The net force on the 1.0 charge is zero, prompting a calculation for the value of q. The approach involves using the equation F = K|q1q2|/r² to determine the force components acting on the central charge from other particles. By analyzing the symmetry of the problem, it can be concluded that one net force component is inherently zero, simplifying the calculations. Setting the sums of the force components for both vertical and horizontal directions to zero is essential for finding q. This method effectively addresses the problem of forces in an electric field.
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Homework Statement


The net force on the 1.0 charge in the figure is zero.
What is q?


Homework Equations



Please see attachment for question and image.

The Attempt at a Solution



I believed you would solve F =K|q1q2|/r2
 

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Write out the components of force that would be from each other particle on the center particle. Then set the sums for each component (one sum for up/down, one sum for left/right) equal to zero.

Or, first observe symmetry in the problem and realize one of these net force components is zero regardless of q.
 
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