Finding Electric Field at a Given Position due to Point Charges

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SUMMARY

The discussion focuses on calculating the electric field at a specific position due to two point charges, +q and -q, located on the z-axis with a separation of d. The charge value is specified as q = 10^-8 C, and the position of interest is P(1, 1, 1) with d = 0.1 m. The relevant equation for the electric field is E = (1/4πε₀) * (r³) * [(3r'·p'·r'/r²) - p'], where p' = q*d'. The participants emphasize the importance of defining the coordinate system, suggesting that placing the origin at the midpoint between the charges simplifies calculations.

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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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