Is there a lower limit to the separation between capacitor plates?

In summary, the conversation discusses the potential for loss in a parallel plate capacitor as the distance between the plates decreases. This loss is primarily due to the resistance of the metal plates themselves and can be seen as a decrease in the capacitor's ability to store energy. Additionally, there may be loss in the dielectric material due to factors such as dielectric relaxation and breakdown field. These losses can be represented by an equivalent resistance in series with the ideal capacitor.
  • #1
theman2000
2
0
Let's say I build a parallel plate capacitor using two metal plates with perfectly smooth surfaces. They are separated by some small distance d, with only vacuum between them. I then apply some AC voltage across the plates. Is there some effect which causes loss in the capacitor (equivalent series resistance) that increases as the plates are moved closer and closer together (as d decreases)? More practically, we're talking about d on the order of ~10 microns or so. At some point will the loss become so high that the capacitor will become more of a resistor than a capacitor?
 
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  • #2
theman2000 said:
Let's say I build a parallel plate capacitor using two metal plates with perfectly smooth surfaces. They are separated by some small distance d, with only vacuum between them. I then apply some AC voltage across the plates. Is there some effect which causes loss in the capacitor (equivalent series resistance) that increases as the plates are moved closer and closer together (as d decreases)? More practically, we're talking about d on the order of ~10 microns or so. At some point will the loss become so high that the capacitor will become more of a resistor than a capacitor?
The loss is firstly in the metal itself, by its resistance. A capacitor does not have loss in terms or electric resistance between the plates. However, if you bring those plates close enough, very little voltage is required to let the electrons start to jump from one plate to the other. Then you will have an electron flow between the plates which can be seen as a loss pretty much as in a resistor as not all electric current is flowing through the generator, but also through the capacitor. If you heat the plates you will increase the electron flow - just like inside a radio tube, but also reduce the electric resistance.
 
  • #3
There is energy lost in the dielectric, due to dielectric relaxation and/or residual conduction. It is measured by the angle of loss (or dissipation angle). It may be represented or modeled by a resistor in series with the ideal capacitor. The angle of loss is defined by
tan(delta)=R/X where R is this equivalent resistance and X is the reactance of the capacitor.
However, I expect that the factor that determines the minimum distance (for a given nominal voltage) is the dielectric strength or breakdown field.
For air is about 10^6 V/m so this will be about 1V/micron. However for this layers the strength may change. For sub-micron dielectric layers tunneling conduction may occur.
 

1. What is the purpose of having a lower limit to the separation between capacitor plates?

The lower limit of separation between capacitor plates is important because it determines the maximum electric field and capacitance that can be achieved. If the plates are too close together, the electric field will become too strong and can cause breakdown, leading to a decrease in capacitance and potential damage to the capacitor.

2. What factors determine the lower limit of separation between capacitor plates?

The lower limit of separation is primarily determined by the dielectric strength of the material between the plates, as well as the voltage and geometry of the capacitor. These factors ultimately determine the maximum electric field that can be sustained without breakdown.

3. Is there a universal lower limit to the separation between capacitor plates?

No, there is no universal lower limit as it depends on the specific materials and design of the capacitor. Different types of capacitors may have different lower limits of separation based on their intended use and construction.

4. Can the lower limit of separation between capacitor plates be exceeded?

Yes, the lower limit of separation can be exceeded, but it is not recommended as it can lead to failure of the capacitor. The electric field and capacitance will also be affected, potentially reducing the efficiency and performance of the capacitor.

5. How can the lower limit of separation between capacitor plates be calculated?

The lower limit of separation can be calculated by considering the dielectric strength of the material between the plates and the desired electric field. This can be determined using the formula E = V/d, where E is the electric field, V is the voltage, and d is the distance between the plates. It is important to consult with industry standards and guidelines for specific calculations and recommendations.

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