Electriccal charges and vectors

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The discussion centers on calculating the horizontal and vertical components of the electrostatic force on a charge in a square configuration involving charges of +q, +2q, and -2q. The user initially calculated the horizontal component as 0.0013081 N and the vertical component as 4.321 N but found these values incorrect. The correct horizontal component, considering the influence of the +2q charge, is determined to be 0.026626077 N. The participants emphasize the importance of accurately applying Coulomb's law and vector decomposition in electrostatics.

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Rave Grrl
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Code:
+q    -a-    -q

|            |
a            a
|            |

+2q   -a-  -2q
What are the horizontal and vertical components of the resultant electrostatic force on the charge in the lower left corner of the square if q = 0.9 10-7 C and a = 4.4 cm? (Assume the positive directions are upward and to the right.)


For the horizontal component I got .0013081 N and for the Vertical I got 4.321 N, but neither one is correct.

I found the charge between +2q and -2q, and then I added the charge from +2q to -q times cos(45). That should have given me the horizontal charge but it didn't. What am I doing wrong?
 
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your answer for the horizontal component is a factor of 2 off (that is my answer is twice the value of your answer), did you account for the 2q?

edit: if show your equations we can see exactly where an error occurred
 
If your answer is .0026162 N that isn't correct either. I don't really know how to show the calculations here though.
 
The exact answer I got was .026626077 N, which is assuming that the positive direction is to the right. What does the book say the correct answer is?
 

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