Calculating the magnitude of point charges

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SUMMARY

The discussion focuses on calculating the electric field and force on an electron due to two point charges: -6 µC at (1 m, -2 m) and 12 µC at (1 m, 3 m). The electric field at the point (-1 m, 0) is determined by summing the contributions from both charges, requiring vector component analysis due to the two-dimensional nature of the problem. The calculated electric field magnitude is approximately 1.08e4 N/C. Understanding the necessity of vector components is crucial for accurate calculations in this scenario.

PREREQUISITES
  • Understanding of Coulomb's Law and electric fields
  • Basic knowledge of vector addition in two dimensions
  • Familiarity with point charge concepts in electrostatics
  • Proficiency in using the constant k (Coulomb's constant) in calculations
NEXT STEPS
  • Study vector decomposition in two-dimensional electric field calculations
  • Learn about the superposition principle in electrostatics
  • Explore the concept of electric field lines and their representation
  • Investigate the forces on charged particles in electric fields
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Students studying electrostatics, physics educators, and anyone interested in mastering electric field calculations and vector analysis in two dimensions.

ezperkins
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Homework Statement


A point charge of -6 µC is located at x = 1 m, y = -2 m. A second point charge of 12 µC is located at x = 1 m, y = 3 m.

(a) Find the magnitude and direction of the electric field at x = -1 m, y = 0.


(b) Calculate the magnitude and direction of the force on an electron at x = -1 m, y = 0.


Homework Equations





The Attempt at a Solution



\Sigma_{F}= k\frac{-6 \mu C}{8} + k\frac{12 \mu C}{13} = 1.08e4 \frac{N}{C}


That's for the magnitude part of A. I've already submitted to many incorrect responses, but I would like to know how to do it. Thanks ahead of time.
 
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ezperkins said:

Homework Statement


A point charge of -6 µC is located at x = 1 m, y = -2 m. A second point charge of 12 µC is located at x = 1 m, y = 3 m.

(a) Find the magnitude and direction of the electric field at x = -1 m, y = 0.


(b) Calculate the magnitude and direction of the force on an electron at x = -1 m, y = 0.


Homework Equations





The Attempt at a Solution



\Sigma_{F}= k\frac{-6 \mu C}{8} + k\frac{12 \mu C}{13} = 1.08e4 \frac{N}{C}


That's for the magnitude part of A. I've already submitted to many incorrect responses, but I would like to know how to do it. Thanks ahead of time.

You need to find both the x and y components from each charge at the point of interest and add them up accordingly to find the resultant field.
 
I did that for another problem that asked for the respective components, why is it necessary that I so that for this problem?
 
Since I don't know what the other question was, I can't tell you what's different. You need to do vector components because the point of interest is not on the same line as the two charges. It is a two dimensional situation. Have you tried what I suggested?
 

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