The spheres of equal mass and equal charge are separated at a distance r. Derive an expression for the quantity of charge that must be on each sphere so that the spheres are in an equilibrium where attractive and repulsive forces are balanced. How would doubling the distance between spheres affect the expression for the value of q from the previous problem. Explain.

Principles of Physics: A Calculus-Based Text
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Author:Raymond A. Serway, John W. Jewett
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Chapter19: Electric Forces And Electric Fields
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Problem 10CQ
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The spheres of equal mass and equal charge are separated at a distance r.

  1. Derive an expression for the quantity of charge that must be on each sphere so that the spheres are in an equilibrium where attractive and repulsive forces are balanced.
  2. How would doubling the distance between spheres affect the expression for the value of q from the previous problem. Explain.
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