How Does Quadrant Location Affect the Electric Field Vector Calculation?

AI Thread Summary
The discussion focuses on the calculation of the electric field vector based on quadrant location, specifically using the equation R=-xaa-yay+3az. The user identifies four different values for R corresponding to each quadrant but questions their accuracy. They note that the equation should apply uniformly across all quadrants, reflecting the position vector from the origin to a point on the sheet. The user seeks clarification on their approach to determining the value of R. The conversation emphasizes the importance of understanding how quadrant positioning influences vector calculations in electric field analysis.
azizlwl
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Homework Statement


From attachment R=-xaa-yay+3az

Homework Equations

The Attempt at a Solution


I see 4 different values, one for each quadrant.
1st.quadrant
R=+xaa-yay+3az
2nd. quadrant
R=-xaa+yay+3az
3rd.
R=-xaa+yay+3az
4th
R=-xaa-yay+3az

Where did I go wrong in determine value of R?

 

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The equation they gave applies to all 4 quadrants. It is just equal to minus a position vector drawn from the origin to any arbitrary point (x,y,-3) on the square sheet. The 3 unit vectors in their equation are pointing in the 3 positive coordinate directions.

Chet
 
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