Net Electric Field Homework Solution

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SUMMARY

The discussion focuses on calculating the net electric field using the formula E=kq/r². The user successfully decouples the electric field components into x and y directions, concluding that there is no net electric field in the x direction. For the y component, the calculation involves substituting values into the equation, leading to an initial result of 3295.12 N/C, which was later corrected for the distance squared. This highlights the importance of careful unit handling in electric field calculations.

PREREQUISITES
  • Understanding of Coulomb's Law and electric fields
  • Familiarity with vector decomposition in physics
  • Knowledge of trigonometric functions, specifically sine
  • Basic algebra for manipulating equations
NEXT STEPS
  • Study the implications of vector decomposition in electric field calculations
  • Learn about the effects of multiple point charges on net electric fields
  • Explore the concept of electric field lines and their representations
  • Investigate common mistakes in electric field calculations and how to avoid them
USEFUL FOR

Students studying electromagnetism, physics educators, and anyone involved in solving electric field problems in academic settings.

Jrlinton
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Homework Statement


upload_2017-2-17_13-44-27.png


Homework Equations


E=kq/r2

The Attempt at a Solution


So i decided to do decouple the x and y values to make it simpler
For Ex It became apparent through the geometry and charges that there would be no net field in the x direction

For Ey:
k/r2* (-absq1+absq2+absq3-absq4)sinθ
= 8.99E9/(.5*√2*.067)*(-6.31E-9+18.6E-9+18.6E-9-631E-6)sin(π/4)
=3295.12 N/C
 
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Nevermind, forgot to square the distance.
 

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