Coulomb's Law and repulsive force

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SUMMARY

Coulomb's Law describes the relationship between electric charges and the forces they exert on each other. In the discussed scenarios, when the separation between two charges is increased to 160% of their initial distance, the new repulsive force calculated is approximately 5.86 N. Additionally, when the distance between two charges is doubled, the force reduces to one-fourth of its original value, confirming the inverse square relationship inherent in Coulomb's Law.

PREREQUISITES
  • Coulomb's Law (F = (k*q_1*q_2)/(r^2))
  • Understanding of electric charge and force interactions
  • Basic algebra for manipulating equations
  • Concept of inverse square relationships in physics
NEXT STEPS
  • Study the implications of Coulomb's Law in electrostatics
  • Explore the concept of electric field strength and its calculations
  • Learn about the applications of Coulomb's Law in real-world scenarios
  • Investigate the relationship between electric force and magnetic fields
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Students of physics, educators teaching electrostatics, and anyone interested in understanding the fundamental principles of electric forces and their applications.

Soaring Crane
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Homework Statement



Charges q1 and q2 exert repulsive forces of 15 N on each other. What is the repulsive force when their separation is increased so that their final separation is 160% of their initial separation?

a.1.3 N

b.9.8 N

c.8.7 N

d.5.9 N


Homework Equations



F = (k*q_1*q_2)/(r^2)

The Attempt at a Solution



F_2 = [k*q_1*q_2]/[(1.6^2)*(r^2)]

F_2 = F/(1.6^2) = F/2.56

F_2 = 15 N/2.56 = 5.86 N ??




Homework Statement



The force between two very small charged bodies is found to be F. If the distance between them is doubled without altering their charges, the force between them becomes


a.F/2

b.2F

c.F/4

d.4F


Homework Equations



F = (k*q_1*q_2)/(r^2)

The Attempt at a Solution



F_2 = (k*q_1*q_2)/(2r)^2 = (k*q_1*q_2)/(4*r^2)

F_2 = F/4 ?


Thanks.
 
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Yeah I think you've nailed the inverse square concept.
 

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