How Do You Calculate the Electric Field at the Origin with Three Charges?

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SUMMARY

The discussion focuses on calculating the electric field at the origin due to three point charges: q1=+2Q, q2=-2Q, and q3=-4Q, each located a distance d from the origin. The electric field (E) is calculated using the formula E = Σ kq/r², where k is Coulomb's constant. Participants emphasize the need to resolve the electric field vectors into their x and y components using trigonometric functions, followed by vector addition to find the resultant electric field.

PREREQUISITES
  • Understanding of Coulomb's Law and electric fields
  • Familiarity with vector addition and components
  • Knowledge of trigonometric functions (sine and cosine)
  • Basic principles of electrostatics
NEXT STEPS
  • Study vector resolution techniques in physics
  • Learn about electric field superposition principles
  • Explore the concept of electric field lines and their representations
  • Review examples of electric field calculations with multiple charges
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Students studying electromagnetism, physics educators, and anyone involved in solving problems related to electric fields and charge interactions.

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Homework Statement


Three charges q1=+2Q q2=-2Q q3=-4Q. are each a distance d from the origin. What is the magnitude and direction of the electric field at the origin.
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I'm getting confused by not having d specified as a number.

Homework Equations


E = Σ kq/r2

The Attempt at a Solution


I've determined the magnitudes of the three E vectors for each charge. I know I cannot algebraically sum them and that I have to use sin/cos to get their components however I don't know where to begin.
Thank you so much for your help!
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Physics news on Phys.org
Calculate the components along x and y axes. You know the angle already. Add them according to vector addition rule to get the resultant electric field.
 

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