Calculating Electric Field (what am i doing wrong?)

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SUMMARY

The discussion centers on calculating the electric field at point P1 due to three point charges: 8.26 µC, 4.94 µC, and -1.23 µC, with distances of 2.93 cm, 1.59 cm, and 2.73 cm respectively. The user applied Coulomb's constant (8.98755 Nm²/C²) to compute the electric fields (E1, E2, E3) but received an incorrect result from their homework website. The correct approach requires careful consideration of the direction of electric fields generated by positive and negative charges, which the user initially overlooked.

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  • Understanding of Coulomb's Law for electric field calculations
  • Familiarity with the concept of electric field direction based on charge polarity
  • Ability to convert units from centimeters to meters
  • Knowledge of significant figures in scientific calculations
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  • Review the principles of Coulomb's Law and its application in electric field calculations
  • Study the concept of electric field direction relative to point charges
  • Learn how to convert units accurately in physics problems
  • Investigate the significance of significant figures in scientific reporting
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Students studying electromagnetism, physics educators, and anyone involved in solving electric field problems in academic settings.

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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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