Finding Electric Field at a Given Position due to Point Charges

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To calculate the electric field at point P(1, 1, 1) due to two point charges +q and -q on the z-axis separated by distance d, the charge values and positions must be clearly defined. The user considers the placement of the charges and suggests setting the origin at the midpoint for symmetry, which simplifies calculations. The electric field formula involves the distance from the charges to the point and requires careful consideration of the coordinate system used. The discussion emphasizes the importance of correctly defining r' and the relationship between the charges for accurate computation. Ultimately, establishing a consistent coordinate system is crucial for solving the problem effectively.
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Homework Statement



Calculate the electric field at a given position due to two point charges +q and -q located on the z axis with a separation d.
q=10^-8 c
P(1 1 1)
d=0.1m

Homework Equations


E=1/4*pi*Eo*r^3*[(3*r'*p'*r'/r^2)-p']
p'=q*d' (d<<r)

The Attempt at a Solution


I think +q charge on the positive z axis and -q charge on the negative z axis so r'=p-(0 0 0). Is that wrong ?
The charges on the z axis with separation d so happy mean d/2 on the z direction. Can ı write r'=p-(0 0 d/2) ?
Which one ı choose ?
 
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It doesn't matter as long as you state your coordinate system. I would set the origin at the midpoint since it will yield a symmetric form.
 
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