Calculating Electric Field (what am i doing wrong?)

AI Thread Summary
The discussion revolves around calculating the electric field at point P1 due to three point charges. The user has converted distances to meters and calculated the electric fields from each charge using Coulomb's constant. However, the homework website indicates the answer is incorrect, prompting a request for error identification. A key point raised is the importance of considering the direction of electric fields: fields from positive charges point away, while those from negative charges point toward the charge. The user is advised to ensure the correct application of these principles to resolve the discrepancies in their calculations.
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I believe this may be a problem with the website where I do my homework. Please check my solution and see if there is a mistake or if I am missing something. The following is the arrangement of point charges in the problem:

8.26 micro C ---2.93 cm---> P1 ---1.59 cm ---> 4.94 micro C ---2.73 cm--->-1.23 micro C

What is the electric field at point P1? Coulomb's constant is 8.98755 Nm^2/C^2.

I convert all distances to meters which gives:
r1 = 2.93 cm = .0293 m
r2 = 1.59 cm = .0159 m
r3 = 1.59 cm + 2.73 cm = 4.32 cm = .0432 m

Since all points are on the X-axis only, I do not have to worry about any Y-axis components. I perform the following steps:

E1 = (8.98755e+9 Nm^2/C^2)(8.26e-6 C)/.0293 m^2 = +86474115.0159 N/C
E2 = (8.98755e+9 Nm^2/C^2)(4.94e-6 C)/.0159 m^2 = -175620018.987 N/C
E3 = (8.98755e+9 Nm^2/C^2)(1.23e-6 C)/.0432m^2 = +5923507.4267 N/C

E1-E2+E3 = -83222396.5444 N/C

My homework website says the answer is wrong. We do not need to worry a obout significant figures in the answer. What errors can you see, or what am I missing.
 
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What units is it asking for the answer in? I'm doing similar homework and it asks for the answer in kN/C not N/C.
 
Answer should be in N/C
 
OK, the next thing I'd check is the direction of your electric fields. Remember that for negative charge points, the fields go toward the points and for positive charge points, the fields go away from the points.
 
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