Electric Forces and Coulomb's Law Problem

AI Thread Summary
The problem involves determining the magnitude of charge Q0 when the net electrostatic force on charge Q2 is zero, given Q1 = -5 nC and Q2 = +7 nC. The user applied Coulomb's Law and set up equations based on the forces acting on Q2, considering both x and y components. After some algebraic manipulation, they derived a formula for Q0 in terms of the distances and charges involved. The user initially questioned their method but ultimately found clarity and resolved the issue independently. The discussion highlights the application of electrostatic principles in solving for unknown charges.
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Homework Statement


In the figure, the net electrostatic force on charge Q2 is zero. If Q1 = -5 nC and Q2 = +7 nC, determine the magnitude of Q0.
http://www.webassign.net/bauerphys1/21-p-079-alt.gif

Homework Equations


F = (k*q1*q2)/d^2


The Attempt at a Solution


I notice that Fnetx and Fnety for Q2 are the same.
So I write,
Fq1*cos(theta) + Fq1 sin(theta) - Fq0(.707) = 0
k*q1*q2/d^2*(cos(theta) + sin(theta)) = k*q2*q0/x^2*(.707)
then after some algebra I get,
[q1*x^2*(cos(theta) + sin(theta))]/(d^2*.707) = Q0

I am questioning my method here, but this is what I have done so far.
 
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Sorry, d is the distance between q1 and q2
x is the distance between q0 and q2
 
It's funny how when I'm writing how I attempted the solution I get a moment of clarity and I figure out the problem. Thanks anyways, I got it!
 
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