<?xml version="1.0" encoding="UTF-8"?><rss xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:content="http://purl.org/rss/1.0/modules/content/" xmlns:atom="http://www.w3.org/2005/Atom" version="2.0"><channel><title><![CDATA[LF Electro Ohmic Quasi-Stat. gives unexpected current density]]></title><description><![CDATA[<p dir="auto">Hi all! I use the following very simple structure to test whether I am using the LF Ohmic Quasi-Static Solver correctly. The voltage comes out as expected but the current (density) is incorrect. I have these three electrodes of the same radius (1mm) stacking together (touching each other) in an electrode-cylinder-electrode configuration. I want to apply to a 2V (+1V top, -1V bottom) to the two silver electrodes and achieve a 1 kA current through. So I chose the cylinder material (copper) and length such that the resistance is 2 mOhm.</p>
<p dir="auto">After running the simulation, where I place a line as voltage sensor (it runs from 2mm offset from the top electrode to 2mm offset from the bottom electrode, in the centre), it gives a value of -1.9786V as expected.<br />
When I combine the J(x,y,z,f0) from the overall field and a plane I created and use flux evaluator to measure total current density as described here <a href="https://forum.zmt.swiss/topic/24/compute-the-total-current-flowing-between-two-electrodes-in-an-electro-quasistatic-lf-simulation">https://forum.zmt.swiss/topic/24/compute-the-total-current-flowing-between-two-electrodes-in-an-electro-quasistatic-lf-simulation</a>, unexpected resutls occur. I tried two different planes and they gave different results::</p>
<ol>
<li>A block with 0mm thickness and 1m x 1m in area in the middle of the cylinder parallel to the electrodes, result: 1 A/m^2, multiply by the area gives 1A</li>
<li>A cylinder with 0mm thickness and 1mm in radius in the middle of the cylinder parallel to the elctrodes, resutls: 49.7369 A/m^2, multiply by the area gives 0.156mA<br />
(P.S. why the current density has a unit of [A/m^2 m^2]?)</li>
</ol>
<p dir="auto">Model, Simulation and Analysis details are summaried in the screenshots attached. <img src="/assets/uploads/files/1736740225400-img_5162.jpg" alt="IMG_5162.jpg" class=" img-fluid img-markdown" /> <img src="/assets/uploads/files/1736740225872-img_5163.jpg" alt="IMG_5163.jpg" class=" img-fluid img-markdown" /> <img src="/assets/uploads/files/1736740226301-img_5164.jpg" alt="IMG_5164.jpg" class=" img-fluid img-markdown" /> <img src="/assets/uploads/files/1736740247717-screenshot-2025-01-12-at-21.26.50-resized.jpg" alt="Screenshot 2025-01-12 at 21.26.50.jpg" class=" img-fluid img-markdown" /> <img src="/assets/uploads/files/1736740248299-screenshot-2025-01-12-at-21.27.16-resized.jpg" alt="Screenshot 2025-01-12 at 21.27.16.jpg" class=" img-fluid img-markdown" /> <img src="/assets/uploads/files/1736740248725-screenshot-2025-01-12-at-21.27.32-resized.jpg" alt="Screenshot 2025-01-12 at 21.27.32.jpg" class=" img-fluid img-markdown" /> <img src="/assets/uploads/files/1736740249949-screenshot-2025-01-12-at-21.31.17-resized.jpg" alt="Screenshot 2025-01-12 at 21.31.17.jpg" class=" img-fluid img-markdown" /> <img src="/assets/uploads/files/1736740250396-screenshot-2025-01-12-at-21.34.49-resized.jpg" alt="Screenshot 2025-01-12 at 21.34.49.jpg" class=" img-fluid img-markdown" /> <img src="/assets/uploads/files/1736740251486-screenshot-2025-01-12-at-21.35.28-resized.jpg" alt="Screenshot 2025-01-12 at 21.35.28.jpg" class=" img-fluid img-markdown" /></p>
]]></description><link>https://forum.zmt.swiss/topic/672/lf-electro-ohmic-quasi-stat-gives-unexpected-current-density</link><generator>RSS for Node</generator><lastBuildDate>Fri, 16 Oct 2026 05:49:35 GMT</lastBuildDate><atom:link href="https://forum.zmt.swiss/topic/672.rss" rel="self" type="application/rss+xml"/><pubDate>Mon, 13 Jan 2025 03:51:14 GMT</pubDate><ttl>60</ttl></channel></rss>