Understanding Point Charges: Same Sign, Different Magnitudes?

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SUMMARY

The discussion centers on the configuration of three point charges fixed at the corners of a square, where the net electric field at the empty corner is zero. It is concluded that the charges must have the same sign but different magnitudes to achieve this equilibrium. The reasoning is based on the vector nature of electric fields, where the direction of the field changes with the sign of the charge. Therefore, having one charge of a different sign at the diagonally opposite corner is necessary to balance the electric fields from the other charges.

PREREQUISITES
  • Understanding of electric fields and point charges
  • Familiarity with vector addition in physics
  • Knowledge of Coulomb's law
  • Basic principles of electrostatics
NEXT STEPS
  • Study the principles of vector addition in electric fields
  • Learn about Coulomb's law and its applications
  • Explore the concept of electric field lines and their significance
  • Investigate the effects of charge configurations on electric fields
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This discussion is beneficial for physics students, educators, and anyone interested in electrostatics and electric field analysis.

smunger81
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Please Help!

I would really appreciate some help on this one...I'm pretty sure I'm making it harder than it is...

The question is this - "Three point charges are fixed to the corners of a square, one to a corner, in such a way that the net electric field at the empty corner is zero. Do these charges all have the same sign or the same magnitude but perhaps different signs?"

My answer is the charges would have the same sign and different magnitudes because when calculating net electric fields the sign of the charge is not taken into account...is this right?

Any advice would be fabulous! Thank you!
 
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Sorry,
Let the empty corner is the origin and the three other points are (0, -a) (-a, 0) and (-a,-a). If all charges are having same sign (say +) then the forces are along y, x and bisector of x and y respectively. hence the charges must have different sign.

Actually the diagonally opposite corner must have one type of charge and the others have opposite type of charges.

Negative sign of the charge changes the direction of electric field which is a vector quantity.
 
Thank you for your help. I was making it waay to hard.
 

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