A +12 nC charge is located at the origin

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The discussion focuses on calculating electric fields generated by a +12 nC charge at specific coordinates. The electric field at (5.0 cm, 0 cm) is correctly determined, while the calculations for (-5.0 cm, 5.0 cm) and (-5.0 cm, -5.0 cm) are causing confusion. The correct electric field vectors for these positions are identified as (-1.53*10^4 i + 1.53*10^4 j) N/C and (-1.53*10^4 i - 1.53*10^4 j) N/C, respectively. The use of the Pythagorean theorem to find the distance 'r' is emphasized as essential for accurate calculations. Understanding the vector components and their signs is crucial for resolving the discrepancies in the results.
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A +12 nC charge is located at the origin.

What are the electric fields at the positions (x,y) = (5.0 cm, 0 cm), (-5.0 cm, 5.0 cm), (-5.0 cm, -5.0 cm)? Write each electric field vector in component form.

I got the answer for the first one, but I can't figure out how to get the answers for the second and third ones. The answers are suppose to be (-1.53*10^4 i + 1.53*10^4 j) N/C and (-1.53*10^4 i - 1.53*10^4 j) N/C, respectively.

Thank you!
 
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It's just the same as the first one, except now instead of r=5cm, you have to use the pythagorean theorem to find r.
 
I've tried that, but it gives me an answer of 2.16*10^4 N/C , instead of the answer of 1.53*10^4 N/C, and I can't figure out why.
 
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