Below is a cross-sectional view of a 4x4 array of inter-meshed cylinders...

$$\begin{matrix}\Huge\circ && \Huge\bullet && \Huge\circ && \Huge\bullet \\\\ \Huge\bullet && \Huge\circ && \Huge\bullet && \Huge\circ \\\\ \Huge\circ && \Huge\bullet && \Huge\circ && \Huge\bullet \\\\ \Huge\bullet && \Huge\circ && \Huge\bullet && \Huge\circ \\\\ \end{matrix}$$

  • \$\Huge\circ\$ & \$\Huge\bullet\$ are cylinders coming out of & into the screen, resp.
  • Voltages \$v_o\$ & \$v_i\$ are applied to them, resp.
  • Rows & columns are equidistant apart \$d\$ (measured centroid to centroid).
  • All cylinders are same length \$L\$, dia. \$D\$, & overlap \$O\$.
  • \$O\lt L\$.

How do I find the overall capacitance between them for a generalized nxn array?

  • \$\begingroup\$ Sounds like a school assignment. What have you got thus far? \$\endgroup\$ – Oldfart Dec 8 '19 at 4:23
  • \$\begingroup\$ It's not. I never had a question this difficult in undergrad lol I came up w/ it myself actually. \$\endgroup\$ – Landon Dec 8 '19 at 4:38
  • 1
    \$\begingroup\$ Teach yourself to do field mapping by sketching the curvilinear squares. You can estimate capacitance of odd shapes quite well. Here is one example but search for more. \$\endgroup\$ – tomnexus Dec 8 '19 at 5:28

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