Finding magnitude of new electric fields

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SUMMARY

The discussion centers on calculating the net electric field at point P due to four fixed charges: q1 = q2 = 3e, q3 = 2e, and q4 = -10e, with a distance of d = 5.42 μm between them. The initial attempt at the solution yielded an incorrect result of 1.53 x 10^20. Participants questioned the absence of charges q1 and q2 in the equations and highlighted the need for vector consideration in electric field calculations. The correct approach requires a comprehensive calculation that includes all charges and their respective contributions to the electric field.

PREREQUISITES
  • Understanding of Coulomb's Law and electric fields
  • Familiarity with vector addition in physics
  • Knowledge of the constants involved, such as ε0 (permittivity of free space)
  • Ability to perform calculations involving micro-meters (μm) and scientific notation
NEXT STEPS
  • Review the principles of electric field calculations using Coulomb's Law
  • Learn how to apply vector addition to electric fields
  • Study the concept of superposition in electric fields
  • Practice problems involving multiple point charges and their electric fields
USEFUL FOR

This discussion is beneficial for physics students, educators, and anyone involved in electrostatics, particularly those tackling problems involving multiple charges and electric fields.

wbetting
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Homework Statement



In Fig. 22-31 the four particles are fixed in place and have charges q1 = q2 = 3e, q3 = 2e, and q4 = -10e. Distance d = 5.42 μm. What is the magnitude of the net electric field at point P due to the particles?

Homework Equations


E=1/(4πε0) x [ q4/2d^2-q3/d^2] j

=1/(4πε0) X [(10q/4d)^2- (2q/d^2)



The Attempt at a Solution



my work is above and i got 1.53 x 10^20 which is wrong and i have no idea where i went wrong! i followed the student solution manual!
 
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hi wbetting! :smile:

(try using the X2 and X2 buttons just above the Reply box :wink:)
wbetting said:
In Fig. 22-31 the four particles are fixed in place and have charges q1 = q2 = 3e, q3 = 2e, and q4 = -10e. Distance d = 5.42 μm. What is the magnitude of the net electric field at point P due to the particles?

Homework Equations


E=1/(4πε0) x [ q4/2d^2-q3/d^2] j

=1/(4πε0) X [(10q/4d)^2- (2q/d^2)

is this a square? where is P?

why is there no q1 or q2 in your equations?

and why do your equations look like scalar equations when the electric field is a vector? :confused:

show us your full calculations, and then we'll see what went wrong, and we'll know how to help! :smile:
 

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