Calculator for the Capacitance of a Rectangular Parallel Plate Capacitor, Including Edge effect

  The capacitance of a rectangular or square parallel plate capacitor including edge effect, can be calculated using the following formula.

[Formua for rectangular capacitor with edge effect]

Where    l = Length in cm                                      

w = Width in cm                        

   εr= Relative Dielectric Constant

d = Dielectric thickness in cm


Enter the value of εr Capacitance without edge effect:  pF
Enter the Width:   cm
Enter the Length:   cm Capacitance including edge effect:   pF
Enter the thickness of the dielectric:   mm

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After a long unsuccessful search for a suitable accurate formula, I derived the formula above mainly for use when designing PCB,s and measuring Er. It assumes that there is a mirror ground plane on the bottom of the board and dielectric extending outside the edges of the (copper) plates. I have found the formula to be reasonably accurate on FR4 and it 'tracks' well to Kirchhoff's formula for a circular capacitor with an equivalent area, thickness and Er. It also appears to work fairly well on PCB tracks (using Eeff). I make no claim that this formula will work for anything other than a PCB and reserve the right to change it as and when more valid data is available to me. Hopefully this calculator will stimulate some discussion which could lead to a more accurate formula. Please use with caution and give us some feedback, good or bad.

 The capacitance is also given without edge effect for comparison purposes and uses the formula.

[Formula for capacitor without edge effect]

Where    l = Length in cm                                      

w = Width in cm                        

   εr= Relative Dielectric Constant

d = Dielectric thickness in cm

William J Highton

28/8/09

This calculator is provided free by Chemandy Electronics in order to promote the FLEXI-BOX

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