Electric Potential/Work - POint Charges on a Square

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SUMMARY

The discussion centers on calculating the work done by electric forces when moving a point charge in the presence of another identical point charge. Two identical point charges, each +3 x 10^-6 C, are positioned at diagonally opposite corners of a square with a side length of 0.5 m. The correct formula for work done is W = U_initial - U_final, where U represents potential energy. The final answer for the work done when one charge moves to an empty corner is -4.7 x 10^-2 J.

PREREQUISITES
  • Understanding of electric potential energy and work done by electric forces
  • Familiarity with Coulomb's law and the constant k (Coulomb's constant)
  • Knowledge of the formula W = U_initial - U_final
  • Basic algebra skills for manipulating equations
NEXT STEPS
  • Review the derivation of electric potential energy using Coulomb's law
  • Study the concept of electric fields and their relation to potential energy
  • Learn about the implications of negative work in electric fields
  • Explore more complex configurations of point charges and their effects on work done
USEFUL FOR

This discussion is beneficial for physics students, educators, and anyone studying electrostatics, particularly those focusing on electric potential and work calculations involving point charges.

alicemunro
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Homework Statement


two identical point charges are on diagonally opposite corners of a square that is 0.5m on a side. Each charge is +3 x 10^ -6 C. How much work is done by the electric force when 1 charge moves to an empty corner?

Homework Equations



W= u= qV = q(kq/r) = kq^2/ r (is this right??)

The Attempt at a Solution



w= kq^2 / r = (k)(+3 x 10^ -6)^2 / (.5)

the real answer is -4.7 x 10^-2 but i don't know how to get that. thanks
 
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Almost! It is the "W = u" part where you err. This U is the potential energy. The work done is the difference between the U at the beginning point and the U at the ending point.
You already have it half done.
 

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