Applying Coulomb's Law: Changes in Charge and Distance

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SUMMARY

The discussion centers on applying Coulomb's Law to determine the effects of changes in charge and distance on the force between two charged spheres. When both charges are doubled, the force increases to 12.0 x 10^-6 N, as per Coulomb's Law, which states that force is directly proportional to the product of the charges. Touching an uncharged sphere to one of the charged spheres results in a force of 1.5 x 10^-6 N when the uncharged sphere is taken away, due to charge redistribution. Increasing the distance to 30.0 cm reduces the force to 0.75 x 10^-6 N, demonstrating the inverse square relationship in Coulomb's Law.

PREREQUISITES
  • Coulomb's Law
  • Basic principles of electrostatics
  • Understanding of charge interactions
  • Mathematical manipulation of equations
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  • Study the derivation and applications of Coulomb's Law
  • Explore the concept of electric fields and potentials
  • Learn about the superposition principle in electrostatics
  • Investigate the effects of dielectric materials on electrostatic forces
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webiret
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1. 1. Two charged spheres,10.0cm apart,attract each other with a force of magnitude 3.0 x 10^-6 N. What force results from each of the following changes, con- sidered separately?
(a) Both charges are doubled, while the distance remains the same.
(b) An uncharged,identical sphere istouched to one of the spheres and is then taken far away.
(c) The separation is increased to 30.0 cm.
 
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Hi webiret!
Welcome to PF.

The rule here at PF is, to get some help you must show attempt.

Can you write the equation for Coulumb's Law?
 
If you know Coulomb's Law, then all of the questions should seem pretty straightforward. Simple change the variables in the equation for Coulomb's Law and you should get the answers. Try it out, and if you get stuck, post your attempts here.
 

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