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A small ball is suspended over an infinite horizontal conducting plane by means of an insulating elastic thread of stiffness k. As soon as the ball was charged, it descended by x cm and its separation from the plane become equal to l. Find the charge on the ball. Please send the solution if you got correct answer

A small ball is suspended over an infinite horizontal conducting plane by means of an insulating elastic thread of stiffness k. As soon as the ball was charged, it descended by x cm and its separation from the plane become equal to l. Find the charge on the ball.
Please send the solution if you got correct answer
 

Grade:12th pass

1 Answers

Arun
25750 Points
3 years ago
When the ball is charged, for the equilibrium of ball, electric force on it must counter balance the excess spring force, extered, on the ball due to the extension in the spring.
Thus
 

or,
 
, (The force on the charge
 
might be considered as arised from attraction by the eletrical image).
or,
 
,
sought charge on the sphere,

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