Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Capacitance between two adjacent long thin plates

  1. Dec 4, 2011 #1
    Hi.

    I am working on a project for the design of a capacitive sensor. In order to do that, I am required to compute capacitance using a simulation software like COMSOL. As I want to compare my simulation results with the theoretical results, I would like to know the formula to be used for the capacitance.

    It is not C= epsilon0*epsilonR*A/d as the plates are long and thin like this:

    ------------------- --------------------
    | | | |
    -------------------- ---------------------

    I hope this diagram makes sense. ( Consider the plates to be of large length ( in the order of 0.1mm) and very small width ( in the order of 0.005mm). I want to calculated capacitance between these two plates.

    Can you help me with the formula?

    Thanks for your help.
     
    Last edited: Dec 4, 2011
  2. jcsd
  3. Dec 4, 2011 #2

    marcusl

    User Avatar
    Science Advisor
    Gold Member

    Your drawing isn't clear. Are the "plates" supposed to be coplanar and end to end (like a ribbon that, halfway down its length, has been cut across to make two shorter ribbons)? If so, there is no analytic formula for capacitance.
     
  4. Dec 4, 2011 #3
    Thanks for your reply.

    The plates are like as shown in attachment.

    Now, can you help me with the capacitance formula?
     

    Attached Files:

  5. Dec 4, 2011 #4

    marcusl

    User Avatar
    Science Advisor
    Gold Member

    I don't know of any analytic formulas for this case.
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook