A +12 nC charge is located at the origin

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The discussion focuses on calculating the electric fields generated by a +12 nC charge located at the origin. The electric field vectors at the specified positions (5.0 cm, 0 cm), (-5.0 cm, 5.0 cm), and (-5.0 cm, -5.0 cm) are derived using Coulomb's Law. The correct electric field vectors are (-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 for the latter two positions. The confusion arises from the application of the Pythagorean theorem to determine the distance 'r' for the electric field calculations.

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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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