This is a question based off of a problem out ofmy textbook. There are two charg

Question

This is a question based off of a problem out ofmy textbook.

There are two charged particles on an x-axis that are free tomove. However, a third charged particle can be placed at acertain point such that all three particles are then inequilibrium. The distance between particle's 1 and 2 is d. The distance between 1 and 3 is x.

1. Find the magnitude of the charge.
2. Find the position of the charge.  
*Assume all values are exact and give exact answers. Assumethe given charges are positive.

The hints we were given were:
1. Q(q,d)
2. x(d)

Explanation / Answer

   let the charges be q1,q2 and q3    when the third charge is placed if all thethree are in equilibrium then the forcs must be equal and oppositethen we can    write that    F1 - F2 = 0    F1 = F2    k q1 q3 /x2 = k q2 q3 / (d - x)2    solve for the distance x        when the third charge is placed if all thethree are in equilibrium then the forcs must be equal and oppositethen we can    write that    F1 - F2 = 0    F1 = F2    k q1 q3 /x2 = k q2 q3 / (d - x)2    solve for the distance x        solve for the distance x    

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