- #1

mnb96

- 715

- 5

suppose I have four conductors (1,2,3,4) and I know their mutual capacitances

*c*where

_{ij}*i,j∈{1,2,3,4}.*Note that the quantities

*c*are essentially the elements of the

_{ij}*capacitance matrix*of this system.

Now, if I apply a voltage to two conductors and leave the other two grounded (e.g. V

_{1}=V

_{2}=1 and V

_{3}=V

_{4}=0), I would like to know the capacitance

*between the two pairs*of conductors (1,2) and (3,4).

Is it possible to derive this quantity from the sole knowledge of the capacitance matrix? If so, how?