Negative potential energy and capacitors

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SUMMARY

The discussion centers on the concept of negative potential energy in capacitors, specifically parallel plate capacitors. It establishes that while gravitational potential energy is typically considered positive, the energy states of a capacitor can vary based on the reference point chosen for zero energy. The states are defined as E_3 < E_2 < E_1, where E_1 can be set to zero, leading to E_2 being negative. The energy can be manipulated by adjusting the distance between charges, thereby influencing the potential energy stored in the capacitor.

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  • Understanding of electric potential energy in capacitors
  • Familiarity with parallel plate capacitor configurations
  • Knowledge of energy state definitions in physics
  • Basic principles of charge movement and energy transfer
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potential energy is defined up to an additional constant by the way
 
Say parallel opposite charges plates whose distance d are:

1. infinite
2. finite ##d_0##
3. 0 and all electrons and positive ions on the plate reunite after releasing energy with short circuit.

Then energy of the states are
E_3&lt;E_2&lt;E_1

If we take ##E_1=0## as you do for gravity, ##E_2## is negative.

If we take ##E_3=0## as usually we do in electric circuit studies, ##E_2## is positive.
Even in gravity study, we have learned that a object of mass m in height h has potential energy ##mgh >0##.
 
We can take energy out of a capacitor by:

1. Letting the positive charges move further apart. That decreases the positive energy of one plate.
2. Letting the negative charges move further apart. That decreases the positive energy of one plate.
3. Letting the opposite charges get closer together. That increases the negative energy of the capacitor.
4. Draining the capacitor, which involves all those three things above.In the link in post #1, there it is mentioned something about zero being a special number among numbers, and gravitational potential at infinity being a special gravitational potential among gravitational potentials. Well, I agree with that part of the answer. (Actually only zero being an important number was mentioned. Well, it's not a very good answer IMO)
 
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