Given Two Point Charges, Find the charge at Point 0 as x,y

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SUMMARY

The discussion focuses on calculating the electric field at the origin due to two point charges, q1 = 8.00 nC and q2 = 6.00 nC, positioned on the x-axis. The relevant equation used is E = (q/r²)k, where 'E' represents the electric field, 'q' is the charge, 'r' is the distance from the charge to the point of interest, and 'k' is Coulomb's constant. The key conclusion is that the y-component of the electric field at the origin is zero, as electric field vectors from point charges only point along the axis of the charges, which in this case is the x-axis.

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vr0nvr0n
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Homework Statement


Two point charges are placed on the x axis. The first charge, q1 = 8.00 nC , is placed a distance 16.0 m from the origin along the positive x axis; the second charge, q2 = 6.00 nC , is placed a distance 9.00 m from the origin along the negative x axis.

Photo shown by problem:
http://imgur.com/mmQtBk0

Find the electric field at the origin, point O.
Give the x and y components of the electric field as an ordered pair. Express your answer in Newtons per coulomb to three significant figures. Keep in mind that an x component that points to the right is positive and a y component that points upward is positive.

Homework Equations


Presumably, E=(q/r^2)k

The Attempt at a Solution


What I can't seem to manage here is the Y component. I have used the relevant equation above and calculated the negative side and the positive side and subtracted the magnitude of the negative from the magnitude of the positive to find the X component at 0. But, I don't even see what I would use in the problem to find the charge along the Y component. I really want to understand this. Any advisement would be appreciated.
 

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Sorry, I don't know why the photo isn't working. Here is the photo again:

1011305A.jpg
 
components are "components", that is, parts of the whole. You don't have to go looking for hidden or separate y pieces. At the origin (or any other point in space for that matter) the electric field vector from each charge only points one direction. You seem to have correctly identified which way that is. Well then, how much of each electric field vector is along x and how much is along y? (0 is a perfectly good number)
 
Thank you.

There goes old vr0nvr0n, overthinking the problem again!

Thanks again.
 

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