{"id":378,"date":"2023-08-17T11:41:16","date_gmt":"2023-08-17T18:41:16","guid":{"rendered":"https:\/\/dornsife.usc.edu\/lecture-support-lab\/?page_id=378"},"modified":"2023-09-18T11:49:30","modified_gmt":"2023-09-18T18:49:30","slug":"gausss-law","status":"publish","type":"page","link":"https:\/\/dornsife.usc.edu\/lecture-support-lab\/gausss-law\/","title":{"rendered":"Gauss&#8217;s Law"},"content":{"rendered":"\n\n\n\n        \n  \n    \n\n\n\n\n\n\n<div\n  class=\"cc--component-container cc--accordions \"\n\n  \n  \n  \n  \n  \n  \n  >\n  <div class=\"c--component c--accordions\"\n    \n      >\n\n    \n  \n      <ul>\n              <li>\n          <button type=\"button\" class=\"accordion-trigger \" id=\"heading-1-1-9ck5h3_xIa\" aria-controls=\"section-1-1-9ck5h3_xIa\" aria-expanded=\"false\" aria-disabled=\"false\">\n                          <span class=\"item-title\">E.4(1) &#8211; Hollow Cylinder<\/span>\n            \n                      <\/button>\n\n          <div id=\"section-1-1-9ck5h3_xIa\" role=\"region\" aria-labelledby=\"heading-1-1-9ck5h3_xIa\" class=\"accordion-panel\">\n\n                            \n    \n\n\n\n\n\n\n<div\n  class=\"cc--component-container cc--rich-text \"\n\n  \n  \n  \n  \n  \n  \n  >\n  <div class=\"c--component c--rich-text\"\n    \n      >\n\n    \n      \n<div class=\"f--field f--wysiwyg\">\n\n    \n  <p>A hollow metallic cylinder is held on a stand on its radial direction. Inside, hanging from the top, there are two pith balls. When the cylinder is connected to a Van de Graff generator, the pith balls hanging inside move slightly. And the pith balls approxi\u00admated to the cylinder from outside fly up wildly.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-383 size-full\" src=\"https:\/\/dornsife.usc.edu\/lecture-support-lab\/wp-content\/uploads\/sites\/280\/2023\/08\/e5_1.jpg\" alt=\"Hollow Cylinder\" width=\"280\" height=\"307\" srcset=\"https:\/\/dornsife.usc.edu\/lecture-support-lab\/wp-content\/uploads\/sites\/280\/2023\/08\/e5_1.jpg 280w, https:\/\/dornsife.usc.edu\/lecture-support-lab\/wp-content\/uploads\/sites\/280\/2023\/08\/e5_1-274x300.jpg 274w\" sizes=\"(max-width: 280px) 100vw, 280px\" \/><\/p>\n\n\n\n<\/div>\n\n\n  <\/div><\/div>\n            \n                      <\/div>\n        <\/li>\n\n              <li>\n          <button type=\"button\" class=\"accordion-trigger \" id=\"heading-1-2-9ck5h3_xIa\" aria-controls=\"section-1-2-9ck5h3_xIa\" aria-expanded=\"false\" aria-disabled=\"false\">\n                          <span class=\"item-title\">E.4(2) &#8211; Faraday Cage<\/span>\n            \n                      <\/button>\n\n          <div id=\"section-1-2-9ck5h3_xIa\" role=\"region\" aria-labelledby=\"heading-1-2-9ck5h3_xIa\" class=\"accordion-panel\">\n\n                            \n    \n\n\n\n\n\n\n<div\n  class=\"cc--component-container cc--rich-text \"\n\n  \n  \n  \n  \n  \n  \n  >\n  <div class=\"c--component c--rich-text\"\n    \n      >\n\n    \n      \n<div class=\"f--field f--wysiwyg\">\n\n    \n  <p>An electroscope under a metal cage will not be affected by a charging Van de Graaff generator, even if the generator is close enough that sparks jump to the cage. When placed outside the metal cage, it will show the generator&#8217;s effects, even if at 1 m away.<\/p>\n<p>&nbsp;<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-384 size-full\" src=\"https:\/\/dornsife.usc.edu\/lecture-support-lab\/wp-content\/uploads\/sites\/280\/2023\/08\/e5_2.jpg\" alt=\"Faraday Cage\" width=\"384\" height=\"339\" srcset=\"https:\/\/dornsife.usc.edu\/lecture-support-lab\/wp-content\/uploads\/sites\/280\/2023\/08\/e5_2.jpg 384w, https:\/\/dornsife.usc.edu\/lecture-support-lab\/wp-content\/uploads\/sites\/280\/2023\/08\/e5_2-300x265.jpg 300w\" sizes=\"(max-width: 384px) 100vw, 384px\" \/><\/p>\n\n\n\n<\/div>\n\n\n  <\/div><\/div>\n            \n                      <\/div>\n        <\/li>\n\n              <li>\n          <button type=\"button\" class=\"accordion-trigger \" id=\"heading-1-3-9ck5h3_xIa\" aria-controls=\"section-1-3-9ck5h3_xIa\" aria-expanded=\"false\" aria-disabled=\"false\">\n                          <span class=\"item-title\">E.4(3) &#8211; Faraday Ice Pail Experiment<\/span>\n            \n                      <\/button>\n\n          <div id=\"section-1-3-9ck5h3_xIa\" role=\"region\" aria-labelledby=\"heading-1-3-9ck5h3_xIa\" class=\"accordion-panel\">\n\n                            \n    \n\n\n\n\n\n\n<div\n  class=\"cc--component-container cc--rich-text \"\n\n  \n  \n  \n  \n  \n  \n  >\n  <div class=\"c--component c--rich-text\"\n    \n      >\n\n    \n      \n<div class=\"f--field f--wysiwyg\">\n\n    \n  <p>A metal ball is charged using a Van de Graaff generator and then lowered into a metal pail. The pail is set on an insulated stand. An electroscope is connected to the outside of the pail through the stand&#8217;s platform. The leaf of the electroscope will rise. Moving the ball around the inside of the pail, even touching the inside surface has no effect on the potential shown by the electroscope leaf. After the ball has been lifted, the inner surfaces of the pail and ball are found completely free of charge, which can be checked with the help of another electroscope.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-385 size-full\" src=\"https:\/\/dornsife.usc.edu\/lecture-support-lab\/wp-content\/uploads\/sites\/280\/2023\/08\/e5_4.jpg\" alt=\"Faraday Ice Pail Experiment\" width=\"336\" height=\"285\" srcset=\"https:\/\/dornsife.usc.edu\/lecture-support-lab\/wp-content\/uploads\/sites\/280\/2023\/08\/e5_4.jpg 336w, https:\/\/dornsife.usc.edu\/lecture-support-lab\/wp-content\/uploads\/sites\/280\/2023\/08\/e5_4-300x254.jpg 300w\" sizes=\"(max-width: 336px) 100vw, 336px\" \/><\/p>\n\n\n\n<\/div>\n\n\n  <\/div><\/div>\n            \n                      <\/div>\n        <\/li>\n\n              <li>\n          <button type=\"button\" class=\"accordion-trigger \" id=\"heading-1-4-9ck5h3_xIa\" aria-controls=\"section-1-4-9ck5h3_xIa\" aria-expanded=\"false\" aria-disabled=\"false\">\n                          <span class=\"item-title\">E.4(4) &#8211; Electrostatic Field Apparatus<\/span>\n            \n                      <\/button>\n\n          <div id=\"section-1-4-9ck5h3_xIa\" role=\"region\" aria-labelledby=\"heading-1-4-9ck5h3_xIa\" class=\"accordion-panel\">\n\n                            \n    \n\n\n\n\n\n\n<div\n  class=\"cc--component-container cc--rich-text \"\n\n  \n  \n  \n  \n  \n  \n  >\n  <div class=\"c--component c--rich-text\"\n    \n      >\n\n    \n      \n<div class=\"f--field f--wysiwyg\">\n\n    \n  <p>The Static GENECON is a unique demonstration instrument designed to allow teachers and students to conduct a variety of electrostatic experiments. This <a href=\"http:\/\/nadascientific.com\/science_education\/van-de-graaff-raijin.html\">Van De Graaff unit<\/a> allows one to observe the creation of electrostatic energy. The user can conduct a variety of experiments.<\/p>\n<p>SPECIFICATIONS<\/p>\n<p>* Observation Tank: Transparent Plastic<\/p>\n<p>* Size of Cell: 160 x 105 x 7mm<\/p>\n<p>* Electrode Plates: 5 types of plates<\/p>\n<p>* Supporting Frame (195 x 115 x 28mm)<\/p>\n<p>* Power Supply: Static Genecon<\/p>\n<p>* 1 Static GENECON, 1 Set of Output Cables, 1 Instruction Manual<\/p>\n<p>* Made of polycarbonate resin<\/p>\n<p>* The negative pole is made of polyvinyl chloride (PVC) resin<\/p>\n<p>* The positive pole is made of felt Polyacetal resin<\/p>\n<p>* High-voltage cables (can withstand 30kV)<\/p>\n<p>* Output: 30,000V at the terminals, 10,000V at output end<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-379 size-full\" src=\"https:\/\/dornsife.usc.edu\/lecture-support-lab\/wp-content\/uploads\/sites\/280\/2023\/08\/E.44a.jpg\" alt=\"Electrostatic Field Apparatus\" width=\"300\" height=\"300\" srcset=\"https:\/\/dornsife.usc.edu\/lecture-support-lab\/wp-content\/uploads\/sites\/280\/2023\/08\/E.44a.jpg 300w, https:\/\/dornsife.usc.edu\/lecture-support-lab\/wp-content\/uploads\/sites\/280\/2023\/08\/E.44a-150x150.jpg 150w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-380 size-full\" src=\"https:\/\/dornsife.usc.edu\/lecture-support-lab\/wp-content\/uploads\/sites\/280\/2023\/08\/E.44b.jpg\" alt=\"Electrostatic Field Apparatus\" width=\"300\" height=\"300\" srcset=\"https:\/\/dornsife.usc.edu\/lecture-support-lab\/wp-content\/uploads\/sites\/280\/2023\/08\/E.44b.jpg 300w, https:\/\/dornsife.usc.edu\/lecture-support-lab\/wp-content\/uploads\/sites\/280\/2023\/08\/E.44b-150x150.jpg 150w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-381 aligncenter\" src=\"https:\/\/dornsife.usc.edu\/lecture-support-lab\/wp-content\/uploads\/sites\/280\/2023\/08\/E.44c.jpg\" alt=\"Electrostatic Field Apparatus\" width=\"300\" height=\"225\" \/><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-382 aligncenter\" src=\"https:\/\/dornsife.usc.edu\/lecture-support-lab\/wp-content\/uploads\/sites\/280\/2023\/08\/E.44d.jpg\" alt=\"Electrostatic Field Apparatus\" width=\"300\" height=\"225\" \/><\/p>\n\n\n\n<\/div>\n\n\n  <\/div><\/div>\n            \n                      <\/div>\n        <\/li>\n\n          <\/ul>\n  \n  \n\n  <\/div><\/div>\n\n\n\n  \n  \n\n  \n    \n\n\n\n\n\n\n<div\n  class=\"cc--component-container cc--two-column-ctas \"\n\n  \n  \n  \n  \n  \n  \n  >\n  <div class=\"c--component c--two-column-ctas\"\n    \n      >\n\n    \n      <div class=\"group\">\n\n                  \n<div class=\"f--field f--section-title\">\n\n    \n  <h2>\n          Back to Electrostatics\n      <\/h2>\n\n\n<\/div>\n      \n              <ul>\n                      <li>\n                  \n<div class=\"f--field f--link\">\n\n    \n    \n  \n<a \n  class=\"link\"\n  href= https:\/\/dornsife.usc.edu\/lecture-support-lab\/electrostatics\/\n    aria-label=\"Read more about Electrostatics\"  \n>\n    Electrostatics \n  <svg version=\"1.1\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" x=\"0px\" y=\"0px\" viewBox=\"0 0 35 35\" enable-background=\"new 0 0 35 35\" width=\"25\" height=\"25\" xml:space=\"preserve\"><polygon fill-rule=\"evenodd\" clip-rule=\"evenodd\" fill=\"#000\" points=\"19.3,27.5 29.3,17.5,19.3,7.5 16.3,10.4 21.4,15.4 6.7,15.4 6.7,19.6 21.4,19.6 16.3,24.6 \"\/><\/svg>\n<\/a>\n\n\n<\/div>\n            <\/li>\n                  <\/ul>\n      \n    <\/div>\n      <div class=\"group\">\n\n                  \n<div class=\"f--field f--section-title\">\n\n    \n  <h2>\n          Back to Electromagnetism\n      <\/h2>\n\n\n<\/div>\n      \n              <ul>\n                      <li>\n                  \n<div class=\"f--field f--link\">\n\n    \n    \n  \n<a \n  class=\"link\"\n  href= https:\/\/dornsife.usc.edu\/lecture-support-lab\/electromagnetism\/\n    aria-label=\"Read more about Electromagnetism\"  \n>\n    Electromagnetism \n  <svg version=\"1.1\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" x=\"0px\" y=\"0px\" viewBox=\"0 0 35 35\" enable-background=\"new 0 0 35 35\" width=\"25\" height=\"25\" xml:space=\"preserve\"><polygon fill-rule=\"evenodd\" clip-rule=\"evenodd\" fill=\"#000\" points=\"19.3,27.5 29.3,17.5,19.3,7.5 16.3,10.4 21.4,15.4 6.7,15.4 6.7,19.6 21.4,19.6 16.3,24.6 \"\/><\/svg>\n<\/a>\n\n\n<\/div>\n            <\/li>\n                  <\/ul>\n      \n    <\/div>\n  \n\n  <\/div><\/div>\n\n\n  \n    \n\n\n\n\n\n\n<div\n  class=\"cc--component-container cc--spacer \"\n\n  \n  \n  \n  \n  \n  \n  >\n  <div class=\"c--component c--spacer\"\n    \n      >\n\n    \n\n  <\/div><\/div>\n","protected":false},"excerpt":{"rendered":"","protected":false},"author":354,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"page-content-detail.php","meta":{"_acf_changed":false,"footnotes":""},"class_list":["post-378","page","type-page","status-publish","hentry"],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.1.1 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Gauss&#039;s Law - Physics and Astronomy Lecture Support Lab<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/dornsife.usc.edu\/lecture-support-lab\/gausss-law\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Gauss&#039;s Law - Physics and Astronomy Lecture Support Lab\" \/>\n<meta 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