Cant get y-component of point charges on test charge

AI Thread Summary
The discussion revolves around calculating the y-component of the total force on a test charge due to six fixed point charges in the x-y plane. The user successfully calculated the x-component but struggles with the y-component, mistakenly assuming that the two positive charges on the y-axis contribute to the force. However, it is clarified that these two charges exert equal and opposite forces on the test charge, resulting in cancellation. The user is encouraged to reconsider which charges affect the y-component. Understanding the symmetry and cancellation of forces is crucial for solving this problem correctly.
mujadeo
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Homework Statement


Six point charges, four positive (+q) and two negative (-q), are fixed at thepositions shown (i attached a .gif file --pls tell me if this isn't visable) in the x-y plane; q = 2.1 × 10-6C and a = 0.93 m. A test charge Q = 0.6 × 10-6C is at the origin.

(a) Find the x- and y-components of the total force on Q:




Homework Equations


i successfully calcd the x-component (-.017016N) but can't get the y component


The Attempt at a Solution



heres what i did

1. labelled the charges A thru F starting with the charge on the neg y-axis (A) and the labelled in cw direction.

2. so for y component everything either cancels or has no y-component, EXCEPT for the 2 charges on the y-axis. These are both pos charges.
so here's the calc
Ay = (9*10^9)(2.1*10^-6)(.6*10-6) / (.93^2) = .01311N (pos charge)
Dy = (9*10^9)(2.1*10^-6)(.6*10-6) / (.93^2) = .01311N (also pos charge)
so 2(.01311) = .02622N
this is wrong!
please help!
thanks
 

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mujadeo said:
2. so for y component everything either cancels or has no y-component, EXCEPT for the 2 charges on the y-axis.

No. this is wrong. The two charges on the y-axis exert equal but opposite forces on Q, hence they cancel.

Which are the two charges you need to consider?
 
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