Calculating Charges of Identical Tiny Conducting Spheres

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SUMMARY

The discussion focuses on calculating the original charges of two identical tiny conducting spheres, where sphere A has a positive charge (qA) and sphere B has a negative charge (qB). Initially, the spheres attract each other with a force of 0.748 N when placed 0.404 m apart. After touching, they both acquire a positive charge and repel each other with a force of 0.59 N at the same distance. The conservation of charge and the formula for electrostatic force (F = k * q1 * q2 / r^2) are essential for solving the problem.

PREREQUISITES
  • Understanding of electrostatic force and Coulomb's Law
  • Knowledge of charge conservation principles
  • Familiarity with basic algebra for solving equations
  • Concept of conducting spheres and charge distribution
NEXT STEPS
  • Study Coulomb's Law in detail, focusing on force calculations between charged objects
  • Explore charge conservation and its applications in electrostatics
  • Practice problems involving multiple charges and their interactions
  • Learn about the behavior of conductors in electrostatic equilibrium
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This discussion is beneficial for physics students, educators, and anyone interested in understanding electrostatics and charge interactions in conducting materials.

fresheze13
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Homework Statement


You have two identical tiny conducting spheres: sphere A carries positive charge qA, and sphere B carries negative charge qB. First the spheres are placed distance d = 0.404 m apart, and they attract each other with a force F1 = 0.748 N. Then the spheres are brought together, touch each other, and are brought back to distance 0.404 m apart. Now the spheres are both positive, and they repel each other with force F2 = 0.59 N. Find the original charge on each sphere.



Homework Equations


F=k q1q2/r^2



The Attempt at a Solution


after the spheres touch i get qf=(q1+q2)/2
and i solve for the charge on the spheres after they touch and get .1035uC as my answer but I am not sure how to find original charge after that my proffesor never did an example like this any help is welcome and appreciated
 
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Charge is conserved. Make use of that along with F1.
Besides, this belongs in the introductory physics section.
 
Last edited:

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