How Do You Calculate the Separation Between Two Charged Balls in Equilibrium?

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SUMMARY

The discussion focuses on calculating the separation 'X' between two charged conducting balls in equilibrium, each with mass 'm' and charge 'q', suspended from nonconducting threads of length 'L'. Participants emphasize the importance of drawing a diagram to visualize the forces acting on the balls and applying the conditions for equilibrium, specifically that the net force on each ball must equal zero. The approximation of 'tan theta' to 'sin theta' is also highlighted for simplifying calculations.

PREREQUISITES
  • Understanding of electrostatics, specifically Coulomb's law.
  • Basic knowledge of forces and equilibrium in physics.
  • Familiarity with trigonometric approximations, particularly for small angles.
  • Ability to draw and interpret free-body diagrams.
NEXT STEPS
  • Study Coulomb's law and its application to charged objects.
  • Learn about free-body diagrams and how to analyze forces in equilibrium.
  • Explore the concept of small-angle approximations in trigonometry.
  • Practice problems involving multiple forces acting on a body in equilibrium.
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Students studying physics, particularly those focusing on electrostatics and mechanics, as well as educators looking for examples of equilibrium problems involving charged objects.

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please, help me to solve this problem

hi, how r u guys? I'm a new member of this site. i couldn't solve this problem that given below, can anyone help me to solve this problem kindly?

"two tiny conducting balls of identical mass 'm' and identical charge 'q' hang from nonconducting threads of length 'L'. Assume that 'thita' (angle) is so small that 'tan thita' can be replaced by its approximate equal 'Sin thita'.For equilibrium find the 'X' where 'X' is the separation between the balls.
:blushing:
 
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Last edited by a moderator:
Here are some hints:
(1) Draw yourself a diagram of the balls and threads.
(2) Identify all the forces acting on one of the balls. (I count three forces acting.) Draw them on your diagram.
(3) Apply the conditions for equilibrium: The net force on each ball must be zero.
 

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