1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

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

  1. Oct 19, 2011 #1
    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?
     
  2. jcsd
  3. Oct 19, 2011 #2

    Low-Q

    User Avatar
    Gold Member

    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.
     
  4. Oct 19, 2011 #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.
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook