Energy conservation law violated(seems to be)

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SUMMARY

The discussion centers on the apparent violation of the energy conservation law in the context of electrostatics, specifically involving a positive charge inducing a negative charge on a disc and a positive charge on a sphere. When the charge is vibrated, the net work done during one vibration is zero; however, energy is dissipated as heat due to the current flowing through the wire, raising the question of the energy source since external work is zero. The conclusion drawn suggests that oscillations can be damped through finite electric resistance, which affects both the electrical and mechanical components of the system.

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  • Understanding of electrostatics and charge interactions
  • Familiarity with concepts of energy conservation in physics
  • Knowledge of electrical resistance and its effects on oscillations
  • Basic principles of mechanical vibrations and damping
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sazmat
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the charge(say positive) in figure induces negative charge on the disc and positive on sphere, the net force on charge is attractive towards the disc and is a function of position, now if someone moves the charge the amount of charge on disc changes accordingly and force changes its magnitude but remains attractive, if same person vibrates the charge on the line shown the net work done during one vibration is zero, but energy has been dissipated in form of heat due to the current that flowed in wire as the charge on disc changes magnitude, where did that energy came from as external work done is zero?

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There is no figure in the thread.
My guess: If you have an oscillation (from the mechanical separation?) and damp this (with finite electric resistance), you will damp the oscillation (including the mechanical part).
 

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