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

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To calculate the separation between two charged balls in equilibrium, one must analyze the forces acting on each ball, including gravitational and electrostatic forces. A diagram can help visualize the setup, with the threads and angles involved. The small angle approximation allows for simplifying calculations using sine instead of tangent. Applying the conditions for equilibrium, where the net force on each ball equals zero, will lead to the solution for the separation distance 'X'. Understanding these principles is crucial for solving the problem effectively.
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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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We'll be happy to help you! Just show us what you have tried and where you have difficulty so we'll know what kind of help you need.

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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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