{"id":4739,"date":"2024-07-25T10:33:40","date_gmt":"2024-07-25T15:33:40","guid":{"rendered":"https:\/\/commons.princeton.edu\/josephhenry\/?page_id=4739"},"modified":"2024-07-25T14:37:58","modified_gmt":"2024-07-25T19:37:58","slug":"faraday-unipolar-generator","status":"publish","type":"page","link":"https:\/\/commons.princeton.edu\/josephhenry\/faraday-unipolar-generator\/","title":{"rendered":"Faraday Unipolar Generator"},"content":{"rendered":"<p><span style=\"font-weight: 400\">Tesla Pratt, <\/span><span style=\"font-weight: 400\">7\/25\/24 &#8211; <\/span><span style=\"font-weight: 400\">Professor Littman<\/span><\/p>\n<p><span style=\"font-weight: 400\"><strong>Objective:<\/strong> I will study Michael Faraday\u2019s lab notebook and diaries, and recreate his experimental procedures with the unipolar electric generator. I will design a simulation in COMSOL multiphysics to compare with calculated and experimental results from my recreation. An analysis of both calculated, simulated, and experimental data, I look to confirm Faraday\u2019s results with various configurations and tests with the homopolar generator.\u00a0<\/span><\/p>\n<p><span style=\"font-weight: 400\">In 1831, Faraday discovered electromagnetic induction by passing a magnet through coiled wire. He attached a galvanometer to the coil, and observed that moving his magnet through created a deflection in the needle. Curiously, this \u201cinduced current\u201d in the coil could only be observed when there was relative motion between the two bodies. If both were held in close proximity but without movement, no deflection occurred. <\/span><span style=\"font-weight: 400\">These experiments led Faraday to develop Faraday\u2019s Law: <\/span><span style=\"font-weight: 400\">E=-N<\/span><span style=\"font-weight: 400\">t<\/span><span style=\"font-weight: 400\">, which states that E (in volts) is equal to the change in flux of the system, over change in time. In other words, as the magnetic flux\/field changes in the system over a certain interval of time, electricity is produced.\u00a0<\/span><\/p>\n<p><span style=\"font-weight: 400\">Faraday saw this as an opportunity to produce electricity in a new way, and created the first electric generator \u2013 the faraday unipolar generator. In a diary entry from October 1831, Faraday details the physical configuration of the generator, and draws a sketch:<\/span><\/p>\n<p><span style=\"font-weight: 400\">Diary Entry <\/span><span style=\"font-weight: 400\">OCT. 28, 1831: \u201c99*. Made many expts. With a copper revolving plate about 12 inches in diameter and about \u2155 of inch thick, mounted on a brass axle. To concentrate the polar action two small magnets 6 or 7 inches long, about 1 inch wide and half an inch thick were put against the front of the large poles, transverse to them and with their flat sides against them, and the ends pushed forward until sufficiently near\u201d(Faraday\u2019s Diary VOL I, 381)<\/span><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-medium wp-image-4740\" src=\"https:\/\/commons.princeton.edu\/josephhenry\/wp-content\/uploads\/sites\/71\/2024\/07\/Screenshot-2024-07-25-at-11.28.58-AM-300x218.png\" alt=\"\" width=\"300\" height=\"218\" srcset=\"https:\/\/commons.princeton.edu\/josephhenry\/wp-content\/uploads\/sites\/71\/2024\/07\/Screenshot-2024-07-25-at-11.28.58-AM-300x218.png 300w, https:\/\/commons.princeton.edu\/josephhenry\/wp-content\/uploads\/sites\/71\/2024\/07\/Screenshot-2024-07-25-at-11.28.58-AM.png 644w\" sizes=\"auto, (max-width: 300px) 85vw, 300px\" \/><\/p>\n<p><strong>How Current is Induced in the Plate:<\/strong><\/p>\n<p><span style=\"font-weight: 400\">Faraday summarizes the effects of rotating the plate through a magnetic field in another diary entry from November 1831 explaining that \u201cthe rotating plate is merely another form of the simpler experiment of passing a piece of metal between the magnetic poles\u201d. In both cases \u2013 disc and metal bar, currents of electricity are produced at right angles to the direction of motion (Eddy Currents) in the place where the magnetic poles cross the surface.<\/span><\/p>\n<p>&nbsp;<\/p>\n<p><b>Model Replica: <\/b><span style=\"font-weight: 400\">Using parts we had on-hand in the Princeton MAE lab, I designed a replica model of Faraday\u2019s original experiment:<\/span><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-4741\" src=\"https:\/\/commons.princeton.edu\/josephhenry\/wp-content\/uploads\/sites\/71\/2024\/07\/Screenshot-2024-07-25-at-10.57.01-AM-300x267.png\" alt=\"\" width=\"423\" height=\"376\" srcset=\"https:\/\/commons.princeton.edu\/josephhenry\/wp-content\/uploads\/sites\/71\/2024\/07\/Screenshot-2024-07-25-at-10.57.01-AM-300x267.png 300w, https:\/\/commons.princeton.edu\/josephhenry\/wp-content\/uploads\/sites\/71\/2024\/07\/Screenshot-2024-07-25-at-10.57.01-AM-1024x910.png 1024w, https:\/\/commons.princeton.edu\/josephhenry\/wp-content\/uploads\/sites\/71\/2024\/07\/Screenshot-2024-07-25-at-10.57.01-AM-768x683.png 768w, https:\/\/commons.princeton.edu\/josephhenry\/wp-content\/uploads\/sites\/71\/2024\/07\/Screenshot-2024-07-25-at-10.57.01-AM.png 1118w\" sizes=\"auto, (max-width: 423px) 85vw, 423px\" \/><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-4742\" src=\"https:\/\/commons.princeton.edu\/josephhenry\/wp-content\/uploads\/sites\/71\/2024\/07\/Screenshot-2024-07-25-at-11.05.01-AM-265x300.png\" alt=\"\" width=\"332\" height=\"375\" srcset=\"https:\/\/commons.princeton.edu\/josephhenry\/wp-content\/uploads\/sites\/71\/2024\/07\/Screenshot-2024-07-25-at-11.05.01-AM-265x300.png 265w, https:\/\/commons.princeton.edu\/josephhenry\/wp-content\/uploads\/sites\/71\/2024\/07\/Screenshot-2024-07-25-at-11.05.01-AM-904x1024.png 904w, https:\/\/commons.princeton.edu\/josephhenry\/wp-content\/uploads\/sites\/71\/2024\/07\/Screenshot-2024-07-25-at-11.05.01-AM-768x870.png 768w, https:\/\/commons.princeton.edu\/josephhenry\/wp-content\/uploads\/sites\/71\/2024\/07\/Screenshot-2024-07-25-at-11.05.01-AM-1200x1359.png 1200w, https:\/\/commons.princeton.edu\/josephhenry\/wp-content\/uploads\/sites\/71\/2024\/07\/Screenshot-2024-07-25-at-11.05.01-AM.png 1300w\" sizes=\"auto, (max-width: 332px) 85vw, 332px\" \/><\/p>\n<ul>\n<li><span style=\"font-weight: 400\">\u00a0Copper Disc: 6\u201d diameter, \u00bd\u201d thick<\/span><\/li>\n<li>Axle: \u00bd\u201d Hollow Aluminium<\/li>\n<li>Bearings: Brass bearings for minimum interference with magnetic fields<\/li>\n<li>Magnet Strength: 0.03T, 300Gauss \u2013 Confirmed magnet strength with PASCO field sensor:<\/li>\n<\/ul>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-4743 aligncenter\" src=\"https:\/\/commons.princeton.edu\/josephhenry\/wp-content\/uploads\/sites\/71\/2024\/07\/Screenshot-2024-07-25-at-11.14.42-AM-258x300.png\" alt=\"\" width=\"413\" height=\"480\" srcset=\"https:\/\/commons.princeton.edu\/josephhenry\/wp-content\/uploads\/sites\/71\/2024\/07\/Screenshot-2024-07-25-at-11.14.42-AM-258x300.png 258w, https:\/\/commons.princeton.edu\/josephhenry\/wp-content\/uploads\/sites\/71\/2024\/07\/Screenshot-2024-07-25-at-11.14.42-AM-768x892.png 768w, https:\/\/commons.princeton.edu\/josephhenry\/wp-content\/uploads\/sites\/71\/2024\/07\/Screenshot-2024-07-25-at-11.14.42-AM.png 864w\" sizes=\"auto, (max-width: 413px) 85vw, 413px\" \/><\/p>\n<p>&nbsp;<\/p>\n<p><strong>Recreating Faraday\u2019s Experimental Procedures<\/strong><\/p>\n<table>\n<tbody>\n<tr>\n<td><span style=\"font-weight: 400\">Faraday Drawing<\/span><\/td>\n<td><span style=\"font-weight: 400\">Faraday Observations<\/span><\/td>\n<td><span style=\"font-weight: 400\">My Experiment<\/span><\/td>\n<td><span style=\"font-weight: 400\">My Results<\/span><\/td>\n<\/tr>\n<tr>\n<td><span style=\"font-weight: 400\">Original Test (Fig. 7)<\/span><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-4744 aligncenter\" src=\"https:\/\/commons.princeton.edu\/josephhenry\/wp-content\/uploads\/sites\/71\/2024\/07\/Screenshot-2024-07-25-at-11.22.47-AM-300x297.png\" alt=\"\" width=\"391\" height=\"388\" srcset=\"https:\/\/commons.princeton.edu\/josephhenry\/wp-content\/uploads\/sites\/71\/2024\/07\/Screenshot-2024-07-25-at-11.22.47-AM-300x297.png 300w, https:\/\/commons.princeton.edu\/josephhenry\/wp-content\/uploads\/sites\/71\/2024\/07\/Screenshot-2024-07-25-at-11.22.47-AM-1024x1013.png 1024w, https:\/\/commons.princeton.edu\/josephhenry\/wp-content\/uploads\/sites\/71\/2024\/07\/Screenshot-2024-07-25-at-11.22.47-AM-150x150.png 150w, https:\/\/commons.princeton.edu\/josephhenry\/wp-content\/uploads\/sites\/71\/2024\/07\/Screenshot-2024-07-25-at-11.22.47-AM-1200x1187.png 1200w, https:\/\/commons.princeton.edu\/josephhenry\/wp-content\/uploads\/sites\/71\/2024\/07\/Screenshot-2024-07-25-at-11.22.47-AM.png 1258w\" sizes=\"auto, (max-width: 391px) 85vw, 391px\" \/><\/td>\n<td><span style=\"font-weight: 400\">\u201c88. the instant the plate moved, the galvanometer was influenced, and by revolving the plate quickly the needle could be deflected 90\u00b0 or more\u201d(Faraday Experimental Researches in Electricity Vol I, 26)<\/span><\/td>\n<td><div style=\"width: 840px;\" class=\"wp-video\"><video class=\"wp-video-shortcode\" id=\"video-4739-1\" width=\"840\" height=\"1244\" preload=\"auto\" controls=\"controls\"><source type=\"video\/mp4\" src=\"https:\/\/commons.princeton.edu\/josephhenry\/wp-content\/uploads\/sites\/71\/2024\/07\/IMG_8467.mp4?_=1\" \/><a href=\"https:\/\/commons.princeton.edu\/josephhenry\/wp-content\/uploads\/sites\/71\/2024\/07\/IMG_8467.mp4\">https:\/\/commons.princeton.edu\/josephhenry\/wp-content\/uploads\/sites\/71\/2024\/07\/IMG_8467.mp4<\/a><\/video><\/div><\/td>\n<td><span style=\"font-weight: 400\">Faraday experiment confirmed \u2705<\/span><\/p>\n<p><span style=\"font-weight: 400\">On spinning the wheel, there was a clear deflection in the galvanometer needle<\/span><\/td>\n<\/tr>\n<tr>\n<td><span style=\"font-weight: 400\">Exp.2 Reversing Motion\u00a0<\/span><\/p>\n<p><span style=\"font-weight: 400\">\u00a0(No Diagram)<\/span><\/td>\n<td><span style=\"font-weight: 400\">\u201c91. every other circumstance remaining the same, the galvanometer needle was deflected with equal power as before; but the deflection was on the opposite side, and the current of electricity evolved, therefore, the reverse of the former\u201d(Faraday Experimental Researches in Electricity Vol I, 27)<\/span><\/td>\n<td><div style=\"width: 720px;\" class=\"wp-video\"><video class=\"wp-video-shortcode\" id=\"video-4739-2\" width=\"720\" height=\"1280\" preload=\"metadata\" controls=\"controls\"><source type=\"video\/mp4\" src=\"https:\/\/commons.princeton.edu\/josephhenry\/wp-content\/uploads\/sites\/71\/2024\/07\/videoSharingFinalOutput.mp4?_=2\" \/><a href=\"https:\/\/commons.princeton.edu\/josephhenry\/wp-content\/uploads\/sites\/71\/2024\/07\/videoSharingFinalOutput.mp4\">https:\/\/commons.princeton.edu\/josephhenry\/wp-content\/uploads\/sites\/71\/2024\/07\/videoSharingFinalOutput.mp4<\/a><\/video><\/div><\/td>\n<td><span style=\"font-weight: 400\">Faraday experiment confirmed \u2705<\/span><\/p>\n<p><span style=\"font-weight: 400\">Switching the direction of motion of the disc reversed the flow of current causing the needle to deflect in the opposite direction.<\/span><\/td>\n<\/tr>\n<tr>\n<td><span style=\"font-weight: 400\">Exp.3 Distance from Magnet \u2013 Fig.9<\/span><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-4757\" style=\"font-family: inherit\" src=\"https:\/\/commons.princeton.edu\/josephhenry\/wp-content\/uploads\/sites\/71\/2024\/07\/Screenshot-2024-07-25-at-2.02.30-PM-300x235.png\" alt=\"\" width=\"246\" height=\"194\" srcset=\"https:\/\/commons.princeton.edu\/josephhenry\/wp-content\/uploads\/sites\/71\/2024\/07\/Screenshot-2024-07-25-at-2.02.30-PM-300x235.png 300w, https:\/\/commons.princeton.edu\/josephhenry\/wp-content\/uploads\/sites\/71\/2024\/07\/Screenshot-2024-07-25-at-2.02.30-PM-768x601.png 768w\" sizes=\"auto, (max-width: 246px) 85vw, 246px\" \/><\/td>\n<td><span style=\"font-weight: 400\">\u201c92.When the conductor was placed on the edge of the disc a little to the right or left, as in the dotted positions fig.9, the current of electricity was still evolved \u2026 This occurred to a considerable distance, i.e. 50\u00b0 or 60\u00b0 on each side of the place of the magnetic poles\u201d(Faraday Experimental Researches in Electricity Vol I, 27)<\/span><\/td>\n<td><div style=\"width: 720px;\" class=\"wp-video\"><video class=\"wp-video-shortcode\" id=\"video-4739-3\" width=\"720\" height=\"1280\" preload=\"metadata\" controls=\"controls\"><source type=\"video\/mp4\" src=\"https:\/\/commons.princeton.edu\/josephhenry\/wp-content\/uploads\/sites\/71\/2024\/07\/videoSharingFinalOutput-2.mp4?_=3\" \/><a href=\"https:\/\/commons.princeton.edu\/josephhenry\/wp-content\/uploads\/sites\/71\/2024\/07\/videoSharingFinalOutput-2.mp4\">https:\/\/commons.princeton.edu\/josephhenry\/wp-content\/uploads\/sites\/71\/2024\/07\/videoSharingFinalOutput-2.mp4<\/a><\/video><\/div><\/td>\n<td><span style=\"font-weight: 400\">Faraday experiment confirmed \u2705<\/span><\/p>\n<p><span style=\"font-weight: 400\">On moving the contact on the disc further and further from the magnet, the amperage decreased proportionally.\u00a0<\/span><\/td>\n<\/tr>\n<tr>\n<td><span style=\"font-weight: 400\">Exp. 4 Off Center (Fig. 10)<img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-4759\" src=\"https:\/\/commons.princeton.edu\/josephhenry\/wp-content\/uploads\/sites\/71\/2024\/07\/Screenshot-2024-07-25-at-2.07.15-PM-300x245.png\" alt=\"\" width=\"273\" height=\"223\" srcset=\"https:\/\/commons.princeton.edu\/josephhenry\/wp-content\/uploads\/sites\/71\/2024\/07\/Screenshot-2024-07-25-at-2.07.15-PM-300x245.png 300w, https:\/\/commons.princeton.edu\/josephhenry\/wp-content\/uploads\/sites\/71\/2024\/07\/Screenshot-2024-07-25-at-2.07.15-PM.png 550w\" sizes=\"auto, (max-width: 273px) 85vw, 273px\" \/><\/span><\/p>\n<p>&nbsp;<\/td>\n<td><span style=\"font-weight: 400\">\u201c\u201c93. On raising the plate, so that the magnetic poles were entirely hidden from each other by its intervention, (a. Fig. 10,) the same effects were produced\u201d(Faraday Experimental Researches in Electricity Vol I, 27)<\/span><\/td>\n<td><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-4760\" src=\"https:\/\/commons.princeton.edu\/josephhenry\/wp-content\/uploads\/sites\/71\/2024\/07\/Screenshot-2024-07-25-at-2.08.03-PM-232x300.png\" alt=\"\" width=\"316\" height=\"407\" srcset=\"https:\/\/commons.princeton.edu\/josephhenry\/wp-content\/uploads\/sites\/71\/2024\/07\/Screenshot-2024-07-25-at-2.08.03-PM-232x300.png 232w, https:\/\/commons.princeton.edu\/josephhenry\/wp-content\/uploads\/sites\/71\/2024\/07\/Screenshot-2024-07-25-at-2.08.03-PM-793x1024.png 793w, https:\/\/commons.princeton.edu\/josephhenry\/wp-content\/uploads\/sites\/71\/2024\/07\/Screenshot-2024-07-25-at-2.08.03-PM-768x991.png 768w, https:\/\/commons.princeton.edu\/josephhenry\/wp-content\/uploads\/sites\/71\/2024\/07\/Screenshot-2024-07-25-at-2.08.03-PM.png 1142w\" sizes=\"auto, (max-width: 316px) 85vw, 316px\" \/><\/td>\n<td><span style=\"font-weight: 400\">Faraday experiment confirmed \u2705<\/span><\/p>\n<p><span style=\"font-weight: 400\">Current is still detected when contact is moved closer to the center of the disc. However, as the pick-up moved in closer, I was recording weaker currents.<\/span><\/td>\n<\/tr>\n<tr>\n<td><span style=\"font-weight: 400\">Exp 5. Contacts on Either Side of the Magnet (Fig. 11, Fig.12) <img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-medium wp-image-4768\" src=\"https:\/\/commons.princeton.edu\/josephhenry\/wp-content\/uploads\/sites\/71\/2024\/07\/Screenshot-2024-07-25-at-2.24.51-PM-300x237.png\" alt=\"\" width=\"300\" height=\"237\" srcset=\"https:\/\/commons.princeton.edu\/josephhenry\/wp-content\/uploads\/sites\/71\/2024\/07\/Screenshot-2024-07-25-at-2.24.51-PM-300x237.png 300w, https:\/\/commons.princeton.edu\/josephhenry\/wp-content\/uploads\/sites\/71\/2024\/07\/Screenshot-2024-07-25-at-2.24.51-PM-768x606.png 768w, https:\/\/commons.princeton.edu\/josephhenry\/wp-content\/uploads\/sites\/71\/2024\/07\/Screenshot-2024-07-25-at-2.24.51-PM.png 880w\" sizes=\"auto, (max-width: 300px) 85vw, 300px\" \/><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-medium wp-image-4767\" src=\"https:\/\/commons.princeton.edu\/josephhenry\/wp-content\/uploads\/sites\/71\/2024\/07\/Screenshot-2024-07-25-at-2.24.42-PM-300x293.png\" alt=\"\" width=\"300\" height=\"293\" srcset=\"https:\/\/commons.princeton.edu\/josephhenry\/wp-content\/uploads\/sites\/71\/2024\/07\/Screenshot-2024-07-25-at-2.24.42-PM-300x293.png 300w, https:\/\/commons.princeton.edu\/josephhenry\/wp-content\/uploads\/sites\/71\/2024\/07\/Screenshot-2024-07-25-at-2.24.42-PM.png 546w\" sizes=\"auto, (max-width: 300px) 85vw, 300px\" \/><\/span><\/td>\n<td><span style=\"font-weight: 400\">\u201c95. if applied as in fig.11, a current of electricity through the galvanometer was produced; but if their place was a little shifted, as in fig.12, a current in the contrary direction resulted\u201d(Faraday Experimental Researches in Electricity Vol I, 28)<\/span><\/td>\n<td><div style=\"width: 720px;\" class=\"wp-video\"><video class=\"wp-video-shortcode\" id=\"video-4739-4\" width=\"720\" height=\"1280\" preload=\"metadata\" controls=\"controls\"><source type=\"video\/mp4\" src=\"https:\/\/commons.princeton.edu\/josephhenry\/wp-content\/uploads\/sites\/71\/2024\/07\/videoSharingFinalOutput-3.mp4?_=4\" \/><a href=\"https:\/\/commons.princeton.edu\/josephhenry\/wp-content\/uploads\/sites\/71\/2024\/07\/videoSharingFinalOutput-3.mp4\">https:\/\/commons.princeton.edu\/josephhenry\/wp-content\/uploads\/sites\/71\/2024\/07\/videoSharingFinalOutput-3.mp4<\/a><\/video><\/div><\/td>\n<td><span style=\"font-weight: 400\">Faraday experiment confirmed \u2705<\/span><\/p>\n<p><span style=\"font-weight: 400\">When the black wire was held above the magnet, the galvanometer needle deflected to the right (Fig.12), and when the position was moved down, the needle deflected the other way.<\/span><\/td>\n<\/tr>\n<tr>\n<td><span style=\"font-weight: 400\">Exp6. Equidistant From Magnet (Fig. 13)<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-medium wp-image-4770\" src=\"https:\/\/commons.princeton.edu\/josephhenry\/wp-content\/uploads\/sites\/71\/2024\/07\/Screenshot-2024-07-25-at-2.26.03-PM-294x300.png\" alt=\"\" width=\"294\" height=\"300\" srcset=\"https:\/\/commons.princeton.edu\/josephhenry\/wp-content\/uploads\/sites\/71\/2024\/07\/Screenshot-2024-07-25-at-2.26.03-PM-294x300.png 294w, https:\/\/commons.princeton.edu\/josephhenry\/wp-content\/uploads\/sites\/71\/2024\/07\/Screenshot-2024-07-25-at-2.26.03-PM-768x784.png 768w, https:\/\/commons.princeton.edu\/josephhenry\/wp-content\/uploads\/sites\/71\/2024\/07\/Screenshot-2024-07-25-at-2.26.03-PM.png 852w\" sizes=\"auto, (max-width: 294px) 85vw, 294px\" \/><\/span><\/td>\n<td><span style=\"font-weight: 400\">\u201c96. when the two conductors were equidistant from the magnetic poles, as in fig.13, no current at the galvanometer was perceived, whichever way the disc was rotated\u201d(Faraday Experimental Researches in Electricity Vol I, 28)<\/span><\/td>\n<td><div style=\"width: 720px;\" class=\"wp-video\"><video class=\"wp-video-shortcode\" id=\"video-4739-5\" width=\"720\" height=\"1280\" preload=\"metadata\" controls=\"controls\"><source type=\"video\/mp4\" src=\"https:\/\/commons.princeton.edu\/josephhenry\/wp-content\/uploads\/sites\/71\/2024\/07\/videoSharingFinalOutput-4.mp4?_=5\" \/><a href=\"https:\/\/commons.princeton.edu\/josephhenry\/wp-content\/uploads\/sites\/71\/2024\/07\/videoSharingFinalOutput-4.mp4\">https:\/\/commons.princeton.edu\/josephhenry\/wp-content\/uploads\/sites\/71\/2024\/07\/videoSharingFinalOutput-4.mp4<\/a><\/video><\/div><\/td>\n<td><span style=\"font-weight: 400\">Faraday experiment confirmed \u2705<\/span><\/p>\n<p><span style=\"font-weight: 400\">Spacing the pickups equally on either side of the magnet results in 0 current \u2013 the current coming from either side cancels out.<\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>&nbsp;<\/p>\n<p><strong>Confirming Experimentation w\/ COMSOL Modeling:<\/strong><\/p>\n<p>I modeled Faraday&#8217;s unipolar generator using the exact specifications of my physical model in order to get accurate simulation results. Unlike COMSOL&#8217;s stock Unipolar Generator (with a uniform magnetic field), my model uses U-magnet with a non-uniform magnetic field concentrated over one part of the disc (0.03Ts):<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-4777 aligncenter\" src=\"https:\/\/commons.princeton.edu\/josephhenry\/wp-content\/uploads\/sites\/71\/2024\/07\/nonUniformField-300x190.png\" alt=\"\" width=\"476\" height=\"301\" srcset=\"https:\/\/commons.princeton.edu\/josephhenry\/wp-content\/uploads\/sites\/71\/2024\/07\/nonUniformField-300x190.png 300w, https:\/\/commons.princeton.edu\/josephhenry\/wp-content\/uploads\/sites\/71\/2024\/07\/nonUniformField-1024x648.png 1024w, https:\/\/commons.princeton.edu\/josephhenry\/wp-content\/uploads\/sites\/71\/2024\/07\/nonUniformField-768x486.png 768w, https:\/\/commons.princeton.edu\/josephhenry\/wp-content\/uploads\/sites\/71\/2024\/07\/nonUniformField-1200x759.png 1200w, https:\/\/commons.princeton.edu\/josephhenry\/wp-content\/uploads\/sites\/71\/2024\/07\/nonUniformField.png 1510w\" sizes=\"auto, (max-width: 476px) 85vw, 476px\" \/><\/p>\n<p>Current Density Streamlines(A\/m^2)\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0Electrical Potential (V)<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-4775\" src=\"https:\/\/commons.princeton.edu\/josephhenry\/wp-content\/uploads\/sites\/71\/2024\/07\/streamline-300x214.png\" alt=\"\" width=\"412\" height=\"294\" srcset=\"https:\/\/commons.princeton.edu\/josephhenry\/wp-content\/uploads\/sites\/71\/2024\/07\/streamline-300x214.png 300w, https:\/\/commons.princeton.edu\/josephhenry\/wp-content\/uploads\/sites\/71\/2024\/07\/streamline-1024x730.png 1024w, https:\/\/commons.princeton.edu\/josephhenry\/wp-content\/uploads\/sites\/71\/2024\/07\/streamline-768x547.png 768w, https:\/\/commons.princeton.edu\/josephhenry\/wp-content\/uploads\/sites\/71\/2024\/07\/streamline-1536x1095.png 1536w, https:\/\/commons.princeton.edu\/josephhenry\/wp-content\/uploads\/sites\/71\/2024\/07\/streamline-1200x855.png 1200w, https:\/\/commons.princeton.edu\/josephhenry\/wp-content\/uploads\/sites\/71\/2024\/07\/streamline.png 1626w\" sizes=\"auto, (max-width: 412px) 85vw, 412px\" \/><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-4776\" src=\"https:\/\/commons.princeton.edu\/josephhenry\/wp-content\/uploads\/sites\/71\/2024\/07\/electricPotential-300x207.png\" alt=\"\" width=\"428\" height=\"295\" srcset=\"https:\/\/commons.princeton.edu\/josephhenry\/wp-content\/uploads\/sites\/71\/2024\/07\/electricPotential-300x207.png 300w, https:\/\/commons.princeton.edu\/josephhenry\/wp-content\/uploads\/sites\/71\/2024\/07\/electricPotential-1024x706.png 1024w, https:\/\/commons.princeton.edu\/josephhenry\/wp-content\/uploads\/sites\/71\/2024\/07\/electricPotential-768x530.png 768w, https:\/\/commons.princeton.edu\/josephhenry\/wp-content\/uploads\/sites\/71\/2024\/07\/electricPotential-1536x1059.png 1536w, https:\/\/commons.princeton.edu\/josephhenry\/wp-content\/uploads\/sites\/71\/2024\/07\/electricPotential-1200x828.png 1200w, https:\/\/commons.princeton.edu\/josephhenry\/wp-content\/uploads\/sites\/71\/2024\/07\/electricPotential.png 1624w\" sizes=\"auto, (max-width: 428px) 85vw, 428px\" \/><\/p>\n<p>Exp1: As we can see in the current density model, the eddy currents formed in the disc cause a current to surge through the green contact from the edge of the disc to the middle; its clear that we should expect a current.<\/p>\n<p>Exp2: Reversing the direction of the disc changes the direction of the current flow. When I changed velocity from positive to negative, the current in the model switched direction (as demonstrated by the arrows on the streamlines).<\/p>\n<p>+18 m\/s\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 -18m\/s<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-4778\" src=\"https:\/\/commons.princeton.edu\/josephhenry\/wp-content\/uploads\/sites\/71\/2024\/07\/direction2-300x216.png\" alt=\"\" width=\"390\" height=\"280\" srcset=\"https:\/\/commons.princeton.edu\/josephhenry\/wp-content\/uploads\/sites\/71\/2024\/07\/direction2-300x216.png 300w, https:\/\/commons.princeton.edu\/josephhenry\/wp-content\/uploads\/sites\/71\/2024\/07\/direction2-1024x736.png 1024w, https:\/\/commons.princeton.edu\/josephhenry\/wp-content\/uploads\/sites\/71\/2024\/07\/direction2-768x552.png 768w, https:\/\/commons.princeton.edu\/josephhenry\/wp-content\/uploads\/sites\/71\/2024\/07\/direction2-1536x1104.png 1536w, https:\/\/commons.princeton.edu\/josephhenry\/wp-content\/uploads\/sites\/71\/2024\/07\/direction2-1200x862.png 1200w, https:\/\/commons.princeton.edu\/josephhenry\/wp-content\/uploads\/sites\/71\/2024\/07\/direction2.png 1624w\" sizes=\"auto, (max-width: 390px) 85vw, 390px\" \/><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-4779\" src=\"https:\/\/commons.princeton.edu\/josephhenry\/wp-content\/uploads\/sites\/71\/2024\/07\/direction1-300x209.png\" alt=\"\" width=\"402\" height=\"280\" srcset=\"https:\/\/commons.princeton.edu\/josephhenry\/wp-content\/uploads\/sites\/71\/2024\/07\/direction1-300x209.png 300w, https:\/\/commons.princeton.edu\/josephhenry\/wp-content\/uploads\/sites\/71\/2024\/07\/direction1-1024x713.png 1024w, https:\/\/commons.princeton.edu\/josephhenry\/wp-content\/uploads\/sites\/71\/2024\/07\/direction1-768x535.png 768w, https:\/\/commons.princeton.edu\/josephhenry\/wp-content\/uploads\/sites\/71\/2024\/07\/direction1-1536x1070.png 1536w, https:\/\/commons.princeton.edu\/josephhenry\/wp-content\/uploads\/sites\/71\/2024\/07\/direction1-1200x836.png 1200w, https:\/\/commons.princeton.edu\/josephhenry\/wp-content\/uploads\/sites\/71\/2024\/07\/direction1.png 1606w\" sizes=\"auto, (max-width: 402px) 85vw, 402px\" \/><\/p>\n<p>Exp3: Looking back at the current density model, we can see that as we move further and further from the magnet along the perimeter, the current density decreases, confirming experimental results.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-4784\" src=\"https:\/\/commons.princeton.edu\/josephhenry\/wp-content\/uploads\/sites\/71\/2024\/07\/Screenshot-2024-07-25-at-3.22.03-PM-e1721935448144-300x231.png\" alt=\"\" width=\"490\" height=\"377\" srcset=\"https:\/\/commons.princeton.edu\/josephhenry\/wp-content\/uploads\/sites\/71\/2024\/07\/Screenshot-2024-07-25-at-3.22.03-PM-e1721935448144-300x231.png 300w, https:\/\/commons.princeton.edu\/josephhenry\/wp-content\/uploads\/sites\/71\/2024\/07\/Screenshot-2024-07-25-at-3.22.03-PM-e1721935448144-768x590.png 768w, https:\/\/commons.princeton.edu\/josephhenry\/wp-content\/uploads\/sites\/71\/2024\/07\/Screenshot-2024-07-25-at-3.22.03-PM-e1721935448144.png 999w\" sizes=\"auto, (max-width: 490px) 85vw, 490px\" \/><\/p>\n<p>Exp4: As we move towards the center of the disc from the edge, the strength of the current again decreases. While it doesn&#8217;t seem that faraday took note of this phenomena in his scientific journal, this is reflective of my experimental results.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-4783\" src=\"https:\/\/commons.princeton.edu\/josephhenry\/wp-content\/uploads\/sites\/71\/2024\/07\/Screenshot-2024-07-25-at-3.20.46-PM-300x224.png\" alt=\"\" width=\"490\" height=\"366\" srcset=\"https:\/\/commons.princeton.edu\/josephhenry\/wp-content\/uploads\/sites\/71\/2024\/07\/Screenshot-2024-07-25-at-3.20.46-PM-300x224.png 300w, https:\/\/commons.princeton.edu\/josephhenry\/wp-content\/uploads\/sites\/71\/2024\/07\/Screenshot-2024-07-25-at-3.20.46-PM-768x573.png 768w, https:\/\/commons.princeton.edu\/josephhenry\/wp-content\/uploads\/sites\/71\/2024\/07\/Screenshot-2024-07-25-at-3.20.46-PM.png 1024w\" sizes=\"auto, (max-width: 490px) 85vw, 490px\" \/><\/p>\n<p>Exp5: Holding a pick-up above the magnet would follow the direction of current of the eddy current on that side of the magnet, while holding it below would follow the direction of current of the eddy current below the magnet. My comsol model shows that the eddy currents above and below the magnet move in opposite directions, so we would expect reverse deflections of the needle. This again confirms experimental results.<\/p>\n<p>Exp6: Since my comsol unipolar generator shows that the current above and below the magnet flows in opposite directions, so if two pick-ups were equally spaced above and below, the current entering each would cancel out, not build up. Once again, experimental results are confirmed by comsol.<\/p>\n<p><strong>Conclusion:<\/strong><\/p>\n<p>Recreating Faraday&#8217;s unipolar generator using his old journals and lab notebooks was a success! My experimental results were nearly identical with both Faraday&#8217;s findings, and my COMSOL simulation. For additional explanation on how the currents in the generator are produced, take a look at my page on <a href=\"https:\/\/commons.princeton.edu\/josephhenry\/eddy-currents\/\">eddy currents<\/a>.<\/p>\n<p><a href=\"https:\/\/commons.princeton.edu\/josephhenry\/wp-content\/uploads\/sites\/71\/2024\/07\/homopolartoScale.zip\">Compressed COMSOL 6.2 file &#8211; Tesla&#8217;s Unipolar Generator (To Scale)<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesla Pratt, 7\/25\/24 &#8211; Professor Littman Objective: I will study Michael Faraday\u2019s lab notebook and diaries, and recreate his experimental procedures with the unipolar electric generator. I will design a simulation in COMSOL multiphysics to compare with calculated and experimental results from my recreation. An analysis of both calculated, simulated, and experimental data, I look &hellip; <a href=\"https:\/\/commons.princeton.edu\/josephhenry\/faraday-unipolar-generator\/\" class=\"more-link\">Continue reading<span class=\"screen-reader-text\"> &#8220;Faraday Unipolar Generator&#8221;<\/span><\/a><\/p>\n","protected":false},"author":6121,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"categories":[],"tags":[],"class_list":["post-4739","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/commons.princeton.edu\/josephhenry\/wp-json\/wp\/v2\/pages\/4739","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/commons.princeton.edu\/josephhenry\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/commons.princeton.edu\/josephhenry\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/commons.princeton.edu\/josephhenry\/wp-json\/wp\/v2\/users\/6121"}],"replies":[{"embeddable":true,"href":"https:\/\/commons.princeton.edu\/josephhenry\/wp-json\/wp\/v2\/comments?post=4739"}],"version-history":[{"count":23,"href":"https:\/\/commons.princeton.edu\/josephhenry\/wp-json\/wp\/v2\/pages\/4739\/revisions"}],"predecessor-version":[{"id":4792,"href":"https:\/\/commons.princeton.edu\/josephhenry\/wp-json\/wp\/v2\/pages\/4739\/revisions\/4792"}],"wp:attachment":[{"href":"https:\/\/commons.princeton.edu\/josephhenry\/wp-json\/wp\/v2\/media?parent=4739"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/commons.princeton.edu\/josephhenry\/wp-json\/wp\/v2\/categories?post=4739"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/commons.princeton.edu\/josephhenry\/wp-json\/wp\/v2\/tags?post=4739"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}