Finding the charge of a particle given the charge of another

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The discussion revolves around solving a physics problem involving electric fields and forces between charged particles. The user has successfully completed part a but is struggling with part b, which requires summing electric field vectors at a specific point. They have identified the need to consider three variables for the net electric field (Enet) but are unsure how to proceed with the equations. The conversation includes a suggestion to list scalar equations and unknowns to clarify the problem. Overall, the focus is on finding the charge of a particle using the relationships between electric fields and forces.
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Homework Statement


The problem should be attached, not sure how to do part b.

Homework Equations


E=kQ/r^2
F=kQ1Q2/r^2
Enet=E1+E2+E3

The Attempt at a Solution


I figured out a, but have no idea how to do b. I was thinking of summing up the electric field vectors at point p, but there are 3 variables for Enet.
 

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idkwhatimdoing said:
I figured out a, but have no idea how to do b. I was thinking of summing up the electric field vectors at point p, but there are 3 variables for Enet.
If you sum the field vectors, how many scalar equations will you have? How many scalar unknowns are there? List them.
 
Something like this?

E1+E2+E3 = 0

kQ/16d^2 + kq2/9d^2 + kq3/25d^2(cos theta - sin theta) = 0

Not sure what to do from here though..
 

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