Solving Elementary Charges Homework: Find # Electrons Transferred

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SUMMARY

The discussion centers on calculating the number of electrons transferred between two spheres with charges -3q and +5q when brought into contact and then separated. The final force between the spheres is measured at 8.1 X 10^-2 N. The solution involves using the equation Q=Ne, where e is the elementary charge (1.602 X 10^-19), leading to the conclusion that approximately 1.1 X 10^4 electrons are transferred from sphere A to sphere B. This transfer occurs due to the movement of negative charge towards the positive sphere.

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  • Understanding of elementary charge (e = 1.602 X 10^-19 C)
  • Familiarity with Coulomb's law (F= Q1 Q2 / 4 π ε d²)
  • Basic knowledge of electric charge interactions
  • Ability to manipulate algebraic equations for solving physics problems
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  • Study the principles of charge conservation in electrostatics
  • Learn about the concept of electric field and potential difference
  • Explore the applications of Coulomb's law in real-world scenarios
  • Investigate the effects of charge transfer on electric forces
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Students studying physics, particularly those focusing on electrostatics, as well as educators seeking to enhance their understanding of charge interactions and calculations.

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Homework Statement


Sphere A with charge -3q is 1.5 m from another identical sphere B with charge +5q. The two spheres are broughtinto contact and then separated by a distance of 1.5 m; the magnitude of the force between the spherees is 8.1 X 10^-2 N.
a. Find the number of electrons transferred from one sphere to the other. Explain which way they moved.


Homework Equations


Q=Ne (e=1.602 X 10^-19)


The Attempt at a Solution


I don't really understand the problem. What does it mean when it says that "the two spheres are brought into contact and then separated...". Do i take the average of the charges? The answer for the number of electrons is 1.1 X 10^4. Please help.
 
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What will happen when the two spheres come together? One has positive charge and one has negative charge. Hmm, do you think that maybe charge will flow? Which direction?

Use Coulomb's law which is:

[tex]F= \frac {Q_1 Q_2} {4 \pi \epsilon d^2}[/tex]

to get the absolute amount of charge of different sign. Keep in mind that the charge that moves will combine with the positive charge and isn't counted.
 

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