Electrostatics - force on point charges by electric field

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SUMMARY

The discussion centers on calculating the net force on point charges arranged at the corners of a square, each with a charge of 5.0 x 10^(-6) C, and determining the electric field and electric potential at the center of the square. The forces acting on the charges are equal in magnitude but opposite in direction, leading to a net force of 9.1 N. The relevant equations include Coulomb's law (F_e = kq1q2/r^2) and the relationship between force and electric field (F_e = qE). The electric potential and electric field at the center require further analysis, as the potential may be zero due to symmetry.

PREREQUISITES
  • Coulomb's Law for point charges
  • Understanding of electric fields and potentials
  • Vector addition of forces
  • Basic principles of electrostatics
NEXT STEPS
  • Calculate the electric field at the center of the square using E = F/q
  • Explore the concept of electric potential due to point charges
  • Learn about superposition principle in electrostatics
  • Investigate the implications of charge symmetry on electric fields and potentials
USEFUL FOR

Students studying electrostatics, physics educators, and anyone interested in understanding the interactions of point charges in electric fields.

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Homework Statement


A square, with each corner as a point charge, A, B, C, and D. They all have the same charge of 5.0 x 10 ^(-6) C. Length of each side of the square is 0.1 m. 2 negative charges diagonal from each other, and the other two are positive, diagonal from each other.
Question asks net force on each point charges and electric field and electric potential at centre of the square.
A, B, C, D = 5.0 x 10^(-6) C
radius = 0.1 m
2 negative charges diagonal
2 positive charges diagonal
Square of four corners A, B, C, D.

Homework Equations


F_e = kq1q2/r^2
F_e = qE
idk equation for electric potential

The Attempt at a Solution


For each net force, are they all the same except with opposite directions? Like say 5 N NW, 5 SW, 5 SE, 5 NE. If so, then I can figure out that part.
I really have no idea for the electric potential or electric field, but I am guessing one of the two is going to have either an electric potential of 0 or electric field of 0. I don't know how to solve for either of them though.
 
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I calculated the force, being 9.1 x 10^(something, forgot) N, but I don't know how to use F_e for the middle, with a charge in the middle as q...in order to get E (electric field) for middle. Also, is the E for electric field what makes V (electric potential) = radius x electric field?
 

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