Stability of electrical charges

In summary, Earnshaw's Theorem states that point charges cannot be maintained in a stable stationary equilibrium. This means that the negative electric potential energy discussed in the thread about crystals would not result in a stable system. However, some work could be done to separate the charges and create a stable dynamic equilibrium. It is important to note that this theorem applies to classical electromagnetism and does not fully explain the behavior of crystals, which requires quantum mechanics to be fully understood.
  • #1
fluidistic
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I've just learned by chance about http://en.wikipedia.org/wiki/Earnshaw_theorem which states that point charges cannot be maintained in a stable stationary equilibrium.

But then, what does the negative electric potential energy (in this thread : https://www.physicsforums.com/showthread.php?t=334341) mean?
So the crystal wouldn't be stable, but I would need to do some work in order to separate the charges from each other. The only remaining explanation to me is that the charges must oscillate, so there would be a stable dynamic equilibrium. Am I right?
 
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  • #2
Earnshaw's Theorem applies to classical electromagnetism. Crystals are not classical systems... you need quantum mechanics to describe them fully, in particular the bonding between atoms.
 
  • #3
jtbell said:
Earnshaw's Theorem applies to classical electromagnetism. Crystals are not classical systems... you need quantum mechanics to describe them fully, in particular the bonding between atoms.

Thanks a lot. :smile:
 

Related to Stability of electrical charges

1. What is the definition of stability of electrical charges?

The stability of electrical charges refers to the ability of a system to maintain a consistent and balanced distribution of positive and negative charges. This is important because any disruption in this balance can lead to the release of energy and potentially dangerous situations.

2. How is stability of electrical charges achieved?

Stability of electrical charges is achieved through the process of electrostatic equilibrium, where the electric forces between positive and negative charges are balanced. This can be achieved by grounding the system, insulating it from external influences, or by using conductors and insulators in a specific arrangement.

3. What factors can affect the stability of electrical charges?

The stability of electrical charges can be affected by various factors such as temperature, humidity, and the presence of conductive materials. Changes in these factors can cause an imbalance in the distribution of charges and lead to instability.

4. Why is the stability of electrical charges important in electronic devices?

The stability of electrical charges is crucial in electronic devices because any disruption in the balance of charges can cause malfunctions or even damage to the device. This is why proper grounding and insulation are essential in the design and operation of electronic devices.

5. What are the potential consequences of unstable electrical charges?

Unstable electrical charges can lead to various consequences such as electric shock, short circuits, and fires. It can also cause damage to electronic equipment and disrupt communication systems. Additionally, unstable charges in the atmosphere can result in lightning strikes, which can be dangerous and destructive.

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