Problem 24 Introduction to Electrodynamics Griffiths

>> YOUR LINK HERE: ___ http://youtube.com/watch?v=WXhEwdmnXXU

This problem quickly descends into a geometry problem once we apply Griffiths's result. We essentially treat the whole square as a combination of 4 line charges, and we add up the contributions.","styleRuns":[{"startIndex":0,"length":194,"styleRunExtensions":{"styleRunColorMapExtension":{"colorMap":[{"key":"USER_INTERFACE_THEME_DARK","value":4294967295},{"key":"USER_INTERFACE_THEME_LIGHT","value":4279440147}]}},"fontFamilyName":"Roboto"}]},"headerRuns":[{"startIndex":0,"length":194,"headerMapping":"ATTRIBUTED_STRING_HEADER_MAPPING_UNSPECIFIED"}]}},{"itemSectionRenderer":{"contents":[{"continuationItemRenderer":{"trigger":"CONTINUATION_TRIGGER_ON_ITEM_SHOWN","continuationEndpoint":{"clickTrackingParams":"CMQBELsvGAIiEwjO2Zam1cqLAxXV40IFHaTqCnI=","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/next"}},"continuationCommand":{"token":"Eg0SC1dYaEV3ZG1uWFhVGAYyJSIRIgtXWGhFd2RtblhYVTAAeAJCEGNvbW1lbnRzLXNlY3Rpb24%3D","request":"CONTINUATION_REQUEST_TYPE_WATCH_NEXT"}}}}],"trackingParams":"CMQBELsvGAIiEwjO2Zam1cqLAxXV40IFHaTqCnI=","sectionIdentifier":"comment-item-section","targetId":"comments-section"}}],"trackingParams":"CMMBELovIhMIztmWptXKiwMV1eNCBR2k6gpy"}},"secondaryResults":{"secondaryResults":{"results":[{"compactVideoRenderer":{"videoId":"iLT_fb4xDxQ","thumbnail":{"thumbnails":[{"url":"https://i.ytimg.com/vi/iLT_fb4xDxQ/hqdefault.jpg?sqp=-oaymwEbCKgBEF5IVfKriqkDDggBFQAAiEIYAXABwAEG rs=AOn4CLDei1EvAv8YoN9b8lzl-gNQPnf6eA","width":168,"height":94},{"url":"https://i.ytimg.com/vi/iLT_fb4xDxQ/hqdefault.jpg?sqp=-oaymwEcCNACELwBSFXyq4qpAw4IARUAAIhCGAFwAcABBg== rs=AOn4CLAm4pblm_heO7j2JNValBnwEFpzeg","width":336,"height":188}]},"title":{"accessibility":{"accessibilityData":{"label":"Problem 2.5, 2.6 | Introduction to Electrodynamics (Griffiths) by Hayashi Manabu 7,891 views 7 years ago 8 minutes, 37 seconds"}},"simpleText":"Problem 2.5, 2.6 | Introduction to Electrodynamics (Griffiths)"},"longBylineText":{"runs":[{"text":"Hayashi Manabu","navigationEndpoint":{"clickTrackingParams":"CLwBEKQwGAAiEwjO2Zam1cqLAxXV40IFHaTqCnIyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@HayashiManabu","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCTwPKsxH2c3GMOfg49o_iIw","canonicalBaseUrl":"/@HayashiManabu"}}}]},"publishedTimeText":{"simpleText":"7 years ago"},"viewCountText":{"simpleText":"7,891 views"},"lengthText":{"accessibility":{"accessibilityData":{"label":"8 minutes, 37 seconds"}},"simpleText":"8:37"},"navigationEndpoint":{"clickTrackingParams":"CLwBEKQwGAAiEwjO2Zam1cqLAxXV40IFHaTqCnIyB3JlbGF0ZWRI9bqdzZ2YkbxZmgEFCAEQ-B0=","commandMetadata":{"webCommandMetadata":{"url":"/watch?v=iLT_fb4xDxQ","webPageType":"WEB_PAGE_TYPE_WATCH","rootVe":3832}},"watchEndpoint":{"videoId":"iLT_fb4xDxQ","nofollow":true,"watchEndpointSupportedOnesieConfig":{"html5PlaybackOnesieConfig":{"commonConfig":{"url":"https://rr3---sn-nvm-cxbz.googlevideo.com/initplayback?source=youtube oeis=1 c=WEB oad=3200 ovd=3200 oaad=11000 oavd=11000 ocs=700 oewis=1 oputc=1 ofpcc=1 msp=1 odepv=1 id=88b4ff7dbe310f14 ip=2a02%3A27aa%3A0%3A0%3A0%3A0%3A0%3Ad49 initcwndbps=1738750 mt=1739793419 oweuc= pxtags=Cg4KAnR4Egg1MTM5MzE1NQ rxtags=Cg4KAnR4Egg1MTM5MzE1NA%2CCg4KAnR4Egg1MTM5MzE1NQ%2CCg4KAnR4Egg1MTM5MzE1Ng%2CCg4KAnR4Egg1MTM5MzE1Nw%2CCg4KAnR4Egg1MTM5MzE1OA"}}}}},"shortBylineText":{"runs":[{"text":"Hayashi Manabu","navigationEndpoint":{"clickTrackingParams":"CLwBEKQwGAAiEwjO2Zam1cqLAxXV40IFHaTqCnIyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@HayashiManabu","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCTwPKsxH2c3GMOfg49o_iIw","canonicalBaseUrl":"/@HayashiManabu"}}}]},"channelThumbnail":{"thumbnails":[{"url":"https://yt3.ggpht.com/EtCvXxSnDjVJxXMKOAc80dwDubHeztsOTOI834WtAnmqL6UpO75pslsLRye495ZalMzu3pIi=s68-c-k-c0x00ffffff-no-rj","width":68,"height":68}]},"trackingParams":"CLwBEKQwGAAiEwjO2Zam1cqLAxXV40IFHaTqCnJAlJ7E8dvvv9qIAQ==","shortViewCountText":{"accessibility":{"accessibilityData":{"label":"7.8K views"}},"simpleText":"7.8K views"},"menu":{"menuRenderer":{"items":[{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Add to queue"}]},"icon":{"iconType":"ADD_TO_QUEUE_TAIL"},"serviceEndpoint":{"clickTrackingParams":"CMEBEP6YBBgGIhMIztmWptXKiwMV1eNCBR2k6gpy","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CMEBEP6YBBgGIhMIztmWptXKiwMV1eNCBR2k6gpy","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"iLT_fb4xDxQ","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CMEBEP6YBBgGIhMIztmWptXKiwMV1eNCBR2k6gpy","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["iLT_fb4xDxQ"],"params":"CAQ%3D"}},"videoIds":["iLT_fb4xDxQ"]}},{"clickTrackingParams":"CMEBEP6YBBgGIhMIztmWptXKiwMV1eNCBR2k6gpy","openPopupAction":{"popup":{"notificationActionRenderer":{"responseText":{"simpleText":"Added to queue"},"trackingParams":"CMIBELlqIhMIztmWptXKiwMV1eNCBR2k6gpy"}},"popupType":"TOAST"}}]}},"trackingParams":"CMEBEP6YBBgGIhMIztmWptXKiwMV1eNCBR2k6gpy"}},{"menuServiceItemDownloadRenderer":{"serviceEndpoint":{"clickTrackingParams":"CMABENGqBRgHIhMIztmWptXKiwMV1eNCBR2k6gpy","offlineVideoEndpoint":{"videoId":"iLT_fb4xDxQ","onAddCommand":{"clickTrackingParams":"CMABENGqBRgHIhMIztmWptXKiwMV1eNCBR2k6gpy","getDownloadActionCommand":{"videoId":"iLT_fb4xDxQ","params":"CAIQAA%3D%3D"}}}},"trackingParams":"CMABENGqBRgHIhMIztmWptXKiwMV1eNCBR2k6gpy"}},{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Share"}]},"icon":{"iconType":"SHARE"},"serviceEndpoint":{"clickTrackingParams":"CLwBEKQwGAAiEwjO2Zam1cqLAxXV40IFHaTqCnI=","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/share/get_share_panel"}},"shareEntityServiceEndpoint":{"serializedShareEntity":"CgtpTFRfZmI0eER4UQ%3D%3D","commands":[{"clickTrackingParams":"CLwBEKQwGAAiEwjO2Zam1cqLAxXV40IFHaTqCnI=","openPopupAction":{"popup":{"unifiedSharePanelRenderer":{"trackingParams":"CL8BEI5iIhMIztmWptXKiwMV1eNCBR2k6gpy","showLoadingSpinner":true}},"popupType":"DIALOG","beReused":true}}]}},"trackingParams":"CLwBEKQwGAAiEwjO2Zam1cqLAxXV40IFHaTqCnI=","hasSeparator":true}}],"trackingParams":"CLwBEKQwGAAiEwjO2Zam1cqLAxXV40IFHaTqCnI=","accessibility":{"accessibilityData":{"label":"Action menu"}},"targetId":"watch-related-menu-button"}},"thumbnailOverlays":[{"thumbnailOverlayTimeStatusRenderer":{"text":{"accessibility":{"accessibilityData":{"label":"8 minutes, 37 seconds"}},"simpleText":"8:37"},"style":"DEFAULT"}},{"thumbnailOverlayToggleButtonRenderer":{"isToggled":false,"untoggledIcon":{"iconType":"WATCH_LATER"},"toggledIcon":{"iconType":"CHECK"},"untoggledTooltip":"Watch later","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CL4BEPnnAxgBIhMIztmWptXKiwMV1eNCBR2k6gpy","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"addedVideoId":"iLT_fb4xDxQ","action":"ACTION_ADD_VIDEO"}]}},"toggledServiceEndpoint":{"clickTrackingParams":"CL4BEPnnAxgBIhMIztmWptXKiwMV1eNCBR2k6gpy","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"action":"ACTION_REMOVE_VIDEO_BY_VIDEO_ID","removedVideoId":"iLT_fb4xDxQ"}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Watch later"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CL4BEPnnAxgBIhMIztmWptXKiwMV1eNCBR2k6gpy"}},{"thumbnailOverlayToggleButtonRenderer":{"untoggledIcon":{"iconType":"ADD_TO_QUEUE_TAIL"},"toggledIcon":{"iconType":"PLAYLIST_ADD_CHECK"},"untoggledTooltip":"Add to queue","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CL0BEMfsBBgCIhMIztmWptXKiwMV1eNCBR2k6gpy","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CL0BEMfsBBgCIhMIztmWptXKiwMV1eNCBR2k6gpy","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"iLT_fb4xDxQ","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CL0BEMfsBBgCIhMIztmWptXKiwMV1eNCBR2k6gpy","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["iLT_fb4xDxQ"],"params":"CAQ%3D"}},"videoIds":["iLT_fb4xDxQ"]}}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Add to queue"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CL0BEMfsBBgCIhMIztmWptXKiwMV1eNCBR2k6gpy"}},{"thumbnailOverlayNowPlayingRenderer":{"text":{"runs":[{"text":"Now playing"}]}}}],"accessibility":{"accessibilityData":{"label":"Problem 2.5, 2.6 | Introduction to Electrodynamics (Griffiths) - 8 minutes, 37 seconds - Go to channel - Hayashi Manabu - 7.8K views - 7 years ago - play video"}},"richThumbnail":{"movingThumbnailRenderer":{"movingThumbnailDetails":{"thumbnails":[{"url":"https://i.ytimg.com/an_webp/iLT_fb4xDxQ/mqdefault_6s.webp?du=3000 sqp=COChzL0G rs=AOn4CLDrGdfhXoPaNtfjJUYR36uCAe4B4A","width":320,"height":180}],"logAsMovingThumbnail":true},"enableHoveredLogging":true,"enableOverlay":true}}}},{"compactVideoRenderer":{"videoId":"z943-mgFT3Q","thumbnail":{"thumbnails":[{"url":"https://i.ytimg.com/vi/z943-mgFT3Q/hqdefault.jpg?sqp=-oaymwEbCKgBEF5IVfKriqkDDggBFQAAiEIYAXABwAEG rs=AOn4CLA9jklKhuuCrV9QtahnJ7bVg9bpkw","width":168,"height":94},{"url":"https://i.ytimg.com/vi/z943-mgFT3Q/hqdefault.jpg?sqp=-oaymwEcCNACELwBSFXyq4qpAw4IARUAAIhCGAFwAcABBg== rs=AOn4CLDVAqTM_geJN4V7-jQnmM6c_spMwQ","width":336,"height":188}]},"title":{"accessibility":{"accessibilityData":{"label":"Introduction to Electrodynamics by David Griffiths, Problem 2.7 by Greg Does Physics 2,279 views 3 years ago 44 minutes"}},"simpleText":"Introduction to Electrodynamics by David Griffiths, Problem 2.7"},"longBylineText":{"runs":[{"text":"Greg Does Physics","navigationEndpoint":{"clickTrackingParams":"CLUBEKQwGAEiEwjO2Zam1cqLAxXV40IFHaTqCnIyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@gregdoesphysics7619","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCowsP9riC0Jspn6ndGpfzqA","canonicalBaseUrl":"/@gregdoesphysics7619"}}}]},"publishedTimeText":{"simpleText":"3 years ago"},"viewCountText":{"simpleText":"2,279 views"},"lengthText":{"accessibility":{"accessibilityData":{"label":"44 minutes, 52 seconds"}},"simpleText":"44:52"},"navigationEndpoint":{"clickTrackingParams":"CLUBEKQwGAEiEwjO2Zam1cqLAxXV40IFHaTqCnIyB3JlbGF0ZWRI9bqdzZ2YkbxZmgEFCAEQ-B0=","commandMetadata":{"webCommandMetadata":{"url":"/watch?v=z943-mgFT3Q","webPageType":"WEB_PAGE_TYPE_WATCH","rootVe":3832}},"watchEndpoint":{"videoId":"z943-mgFT3Q","nofollow":true,"watchEndpointSupportedOnesieConfig":{"html5PlaybackOnesieConfig":{"commonConfig":{"url":"https://rr2---sn-uxaxiv0nxx5q-nv4l.googlevideo.com/initplayback?source=youtube oeis=1 c=WEB oad=3200 ovd=3200 oaad=11000 oavd=11000 ocs=700 oewis=1 oputc=1 ofpcc=1 msp=1 odepv=1 id=cfde37fa68054f74 ip=2a02%3A27aa%3A0%3A0%3A0%3A0%3A0%3Ad49 initcwndbps=1650000 mt=1739793419 oweuc= pxtags=Cg4KAnR4Egg1MTM5MzE1NQ rxtags=Cg4KAnR4Egg1MTM5MzE1NA%2CCg4KAnR4Egg1MTM5MzE1NQ%2CCg4KAnR4Egg1MTM5MzE1Ng%2CCg4KAnR4Egg1MTM5MzE1Nw%2CCg4KAnR4Egg1MTM5MzE1OA"}}}}},"shortBylineText":{"runs":[{"text":"Greg Does Physics","navigationEndpoint":{"clickTrackingParams":"CLUBEKQwGAEiEwjO2Zam1cqLAxXV40IFHaTqCnIyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@gregdoesphysics7619","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCowsP9riC0Jspn6ndGpfzqA","canonicalBaseUrl":"/@gregdoesphysics7619"}}}]},"channelThumbnail":{"thumbnails":[{"url":"https://yt3.ggpht.com/ytc/AIdro_mVehyOhTZIYf92LE-hV45hIQ64ScnkeErnt5mF70FQEg=s68-c-k-c0x00ffffff-no-rj","width":68,"height":68}]},"trackingParams":"CLUBEKQwGAEiEwjO2Zam1cqLAxXV40IFHaTqCnJA9J6VwKb_je_PAQ==","shortViewCountText":{"accessibility":{"accessibilityData":{"label":"2.2K views"}},"simpleText":"2.2K views"},"menu":{"menuRenderer":{"items":[{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Add to queue"}]},"icon":{"iconType":"ADD_TO_QUEUE_TAIL"},"serviceEndpoint":{"clickTrackingParams":"CLoBEP6YBBgGIhMIztmWptXKiwMV1eNCBR2k6gpy","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CLoBEP6YBBgGIhMIztmWptXKiwMV1eNCBR2k6gpy","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"z943-mgFT3Q","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CLoBEP6YBBgGIhMIztmWptXKiwMV1eNCBR2k6gpy","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["z943-mgFT3Q"],"params":"CAQ%3D"}},"videoIds":["z943-mgFT3Q"]}},{"clickTrackingParams":"CLoBEP6YBBgGIhMIztmWptXKiwMV1eNCBR2k6gpy","openPopupAction":{"popup":{"notificationActionRenderer":{"responseText":{"simpleText":"Added to queue"},"trackingParams":"CLsBELlqIhMIztmWptXKiwMV1eNCBR2k6gpy"}},"popupType":"TOAST"}}]}},"trackingParams":"CLoBEP6YBBgGIhMIztmWptXKiwMV1eNCBR2k6gpy"}},{"menuServiceItemDownloadRenderer":{"serviceEndpoint":{"clickTrackingParams":"CLkBENGqBRgHIhMIztmWptXKiwMV1eNCBR2k6gpy","offlineVideoEndpoint":{"videoId":"z943-mgFT3Q","onAddCommand":{"clickTrackingParams":"CLkBENGqBRgHIhMIztmWptXKiwMV1eNCBR2k6gpy","getDownloadActionCommand":{"videoId":"z943-mgFT3Q","params":"CAIQAA%3D%3D"}}}},"trackingParams":"CLkBENGqBRgHIhMIztmWptXKiwMV1eNCBR2k6gpy"}},{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Share"}]},"icon":{"iconType":"SHARE"},"serviceEndpoint":{"clickTrackingParams":"CLUBEKQwGAEiEwjO2Zam1cqLAxXV40IFHaTqCnI=","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/share/get_share_panel"}},"shareEntityServiceEndpoint":{"serializedShareEntity":"Cgt6OTQzLW1nRlQzUQ%3D%3D","commands":[{"clickTrackingParams":"CLUBEKQwGAEiEwjO2Zam1cqLAxXV40IFHaTqCnI=","openPopupAction":{"popup":{"unifiedSharePanelRenderer":{"trackingParams":"CLgBEI5iIhMIztmWptXKiwMV1eNCBR2k6gpy","showLoadingSpinner":true}},"popupType":"DIALOG","beReused":true}}]}},"trackingParams":"CLUBEKQwGAEiEwjO2Zam1cqLAxXV40IFHaTqCnI=","hasSeparator":true}}],"trackingParams":"CLUBEKQwGAEiEwjO2Zam1cqLAxXV40IFHaTqCnI=","accessibility":{"accessibilityData":{"label":"Action menu"}}}},"thumbnailOverlays":[{"thumbnailOverlayTimeStatusRenderer":{"text":{"accessibility":{"accessibilityData":{"label":"44 minutes, 52 seconds"}},"simpleText":"44:52"},"style":"DEFAULT"}},{"thumbnailOverlayToggleButtonRenderer":{"isToggled":false,"untoggledIcon":{"iconType":"WATCH_LATER"},"toggledIcon":{"iconType":"CHECK"},"untoggledTooltip":"Watch later","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CLcBEPnnAxgBIhMIztmWptXKiwMV1eNCBR2k6gpy","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"addedVideoId":"z943-mgFT3Q","action":"ACTION_ADD_VIDEO"}]}},"toggledServiceEndpoint":{"clickTrackingParams":"CLcBEPnnAxgBIhMIztmWptXKiwMV1eNCBR2k6gpy","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"action":"ACTION_REMOVE_VIDEO_BY_VIDEO_ID","removedVideoId":"z943-mgFT3Q"}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Watch later"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CLcBEPnnAxgBIhMIztmWptXKiwMV1eNCBR2k6gpy"}},{"thumbnailOverlayToggleButtonRenderer":{"untoggledIcon":{"iconType":"ADD_TO_QUEUE_TAIL"},"toggledIcon":{"iconType":"PLAYLIST_ADD_CHECK"},"untoggledTooltip":"Add to queue","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CLYBEMfsBBgCIhMIztmWptXKiwMV1eNCBR2k6gpy","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CLYBEMfsBBgCIhMIztmWptXKiwMV1eNCBR2k6gpy","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"z943-mgFT3Q","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CLYBEMfsBBgCIhMIztmWptXKiwMV1eNCBR2k6gpy","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["z943-mgFT3Q"],"params":"CAQ%3D"}},"videoIds":["z943-mgFT3Q"]}}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Add to queue"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CLYBEMfsBBgCIhMIztmWptXKiwMV1eNCBR2k6gpy"}},{"thumbnailOverlayNowPlayingRenderer":{"text":{"runs":[{"text":"Now playing"}]}}}],"accessibility":{"accessibilityData":{"label":"Introduction to Electrodynamics by David Griffiths, Problem 2.7 - 44 minutes - Go to channel - Greg Does Physics - 2.2K views - 3 years ago - play video"}},"richThumbnail":{"movingThumbnailRenderer":{"movingThumbnailDetails":{"thumbnails":[{"url":"https://i.ytimg.com/an_webp/z943-mgFT3Q/mqdefault_6s.webp?du=3000 sqp=CIjBzL0G rs=AOn4CLBrAB6UJXn5JVEQ8ua6L5SdQ1fW4Q","width":320,"height":180}],"logAsMovingThumbnail":true},"enableHoveredLogging":true,"enableOverlay":true}}}},{"compactVideoRenderer":{"videoId":"OkmNXy7er84","thumbnail":{"thumbnails":[{"url":"https://i.ytimg.com/vi/OkmNXy7er84/hqdefault.jpg?sqp=-oaymwEbCKgBEF5IVfKriqkDDggBFQAAiEIYAXABwAEG rs=AOn4CLANQzkyU8PwPe08EbG_Wm8Qq7ygrg","width":168,"height":94},{"url":"https://i.ytimg.com/vi/OkmNXy7er84/hqdefault.jpg?sqp=-oaymwEcCNACELwBSFXyq4qpAw4IARUAAIhCGAFwAcABBg== rs=AOn4CLDtJ-DVkCBmDPDpA-YiZ1Kzm21g_A","width":336,"height":188}]},"title":{"accessibility":{"accessibilityData":{"label":"The hardest problem on the hardest test by 3Blue1Brown 15,876,743 views 7 years ago 11 minutes, 15 seconds"}},"simpleText":"The hardest problem on the hardest test"},"longBylineText":{"runs":[{"text":"3Blue1Brown","navigationEndpoint":{"clickTrackingParams":"CK4BEKQwGAIiEwjO2Zam1cqLAxXV40IFHaTqCnIyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@3blue1brown","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCYO_jab_esuFRV4b17AJtAw","canonicalBaseUrl":"/@3blue1brown"}}}]},"publishedTimeText":{"simpleText":"7 years ago"},"viewCountText":{"simpleText":"15,876,743 views"},"lengthText":{"accessibility":{"accessibilityData":{"label":"11 minutes, 15 seconds"}},"simpleText":"11:15"},"navigationEndpoint":{"clickTrackingParams":"CK4BEKQwGAIiEwjO2Zam1cqLAxXV40IFHaTqCnIyB3JlbGF0ZWRI9bqdzZ2YkbxZmgEFCAEQ-B0=","commandMetadata":{"webCommandMetadata":{"url":"/watch?v=OkmNXy7er84","webPageType":"WEB_PAGE_TYPE_WATCH","rootVe":3832}},"watchEndpoint":{"videoId":"OkmNXy7er84","nofollow":true,"watchEndpointSupportedOnesieConfig":{"html5PlaybackOnesieConfig":{"commonConfig":{"url":"https://rr1---sn-uxaxiv0nxx5q-nv4l.googlevideo.com/initplayback?source=youtube oeis=1 c=WEB oad=3200 ovd=3200 oaad=11000 oavd=11000 ocs=700 oewis=1 oputc=1 ofpcc=1 msp=1 odepv=1 id=3a498d5f2edeafce ip=2a02%3A27aa%3A0%3A0%3A0%3A0%3A0%3Ad49 initcwndbps=1650000 mt=1739793419 oweuc= pxtags=Cg4KAnR4Egg1MTM5MzE1NQ rxtags=Cg4KAnR4Egg1MTM5MzE1NA%2CCg4KAnR4Egg1MTM5MzE1NQ%2CCg4KAnR4Egg1MTM5MzE1Ng%2CCg4KAnR4Egg1MTM5MzE1Nw%2CCg4KAnR4Egg1MTM5MzE1OA"}}}}},"shortBylineText":{"runs":[{"text":"3Blue1Brown","navigationEndpoint":{"clickTrackingParams":"CK4BEKQwGAIiEwjO2Zam1cqLAxXV40IFHaTqCnIyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@3blue1brown","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCYO_jab_esuFRV4b17AJtAw","canonicalBaseUrl":"/@3blue1brown"}}}]},"channelThumbnail":{"thumbnails":[{"url":"https://yt3.ggpht.com/ytc/AIdro_nFzZFPLxPZRHcE3SSwzdrbuWqfoWYwLAu0_2iO6blQYAU=s68-c-k-c0x00ffffff-no-rj","width":68,"height":68}]},"ownerBadges":[{"metadataBadgeRenderer":{"icon":{"iconType":"CHECK_CIRCLE_THICK"},"style":"BADGE_STYLE_TYPE_VERIFIED","tooltip":"Verified","trackingParams":"CK4BEKQwGAIiEwjO2Zam1cqLAxXV40IFHaTqCnI=","accessibilityData":{"label":"Verified"}}}],"trackingParams":"CK4BEKQwGAIiEwjO2Zam1cqLAxXV40IFHaTqCnJAzt_69vKr46Q6","shortViewCountText":{"accessibility":{"accessibilityData":{"label":"15 million views"}},"simpleText":"15M views"},"menu":{"menuRenderer":{"items":[{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Add to queue"}]},"icon":{"iconType":"ADD_TO_QUEUE_TAIL"},"serviceEndpoint":{"clickTrackingParams":"CLMBEP6YBBgHIhMIztmWptXKiwMV1eNCBR2k6gpy","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CLMBEP6YBBgHIhMIztmWptXKiwMV1eNCBR2k6gpy","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"OkmNXy7er84","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CLMBEP6YBBgHIhMIztmWptXKiwMV1eNCBR2k6gpy","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["OkmNXy7er84"],"params":"CAQ%3D"}},"videoIds":["OkmNXy7er84"]}},{"clickTrackingParams":"CLMBEP6YBBgHIhMIztmWptXKiwMV1eNCBR2k6gpy","openPopupAction":{"popup":{"notificationActionRenderer":{"responseText":{"simpleText":"Added to queue"},"trackingParams":"CLQBELlqIhMIztmWptXKiwMV1eNCBR2k6gpy"}},"popupType":"TOAST"}}]}},"trackingParams":"CLMBEP6YBBgHIhMIztmWptXKiwMV1eNCBR2k6gpy"}},{"menuServiceItemDownloadRenderer":{"serviceEndpoint":{"clickTrackingParams":"CLIBENGqBRgIIhMIztmWptXKiwMV1eNCBR2k6gpy","offlineVideoEndpoint":{"videoId":"OkmNXy7er84","onAddCommand":{"clickTrackingParams":"CLIBENGqBRgIIhMIztmWptXKiwMV1eNCBR2k6gpy","getDownloadActionCommand":{"videoId":"OkmNXy7er84","params":"CAIQAA%3D%3D"}}}},"trackingParams":"CLIBENGqBRgIIhMIztmWptXKiwMV1eNCBR2k6gpy"}},{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Share"}]},"icon":{"iconType":"SHARE"},"serviceEndpoint":{"clickTrackingParams":"CK4BEKQwGAIiEwjO2Zam1cqLAxXV40IFHaTqCnI=","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/share/get_share_panel"}},"shareEntityServiceEndpoint":{"serializedShareEntity":"CgtPa21OWHk3ZXI4NA%3D%3D","commands":[{"clickTrackingParams":"CK4BEKQwGAIiEwjO2Zam1cqLAxXV40IFHaTqCnI=","openPopupAction":{"popup":{"unifiedSharePanelRenderer":{"trackingParams":"CLEBEI5iIhMIztmWptXKiwMV1eNCBR2k6gpy","showLoadingSpinner":true}},"popupType":"DIALOG","beReused":true}}]}},"trackingParams":"CK4BEKQwGAIiEwjO2Zam1cqLAxXV40IFHaTqCnI=","hasSeparator":true}}],"trackingParams":"CK4BEKQwGAIiEwjO2Zam1cqLAxXV40IFHaTqCnI=","accessibility":{"accessibilityData":{"label":"Action menu"}}}},"thumbnailOverlays":[{"thumbnailOverlayTimeStatusRenderer":{"text":{"accessibility":{"accessibilityData":{"label":"11 minutes, 15 seconds"}},"simpleText":"11:15"},"style":"DEFAULT"}},{"thumbnailOverlayToggleButtonRenderer":{"isToggled":false,"untoggledIcon":{"iconType":"WATCH_LATER"},"toggledIcon":{"iconType":"CHECK"},"untoggledTooltip":"Watch later","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CLABEPnnAxgCIhMIztmWptXKiwMV1eNCBR2k6gpy","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"addedVideoId":"OkmNXy7er84","action":"ACTION_ADD_VIDEO"}]}},"toggledServiceEndpoint":{"clickTrackingParams":"CLABEPnnAxgCIhMIztmWptXKiwMV1eNCBR2k6gpy","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"action":"ACTION_REMOVE_VIDEO_BY_VIDEO_ID","removedVideoId":"OkmNXy7er84"}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Watch later"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CLABEPnnAxgCIhMIztmWptXKiwMV1eNCBR2k6gpy"}},{"thumbnailOverlayToggleButtonRenderer":{"untoggledIcon":{"iconType":"ADD_TO_QUEUE_TAIL"},"toggledIcon":{"iconType":"PLAYLIST_ADD_CHECK"},"untoggledTooltip":"Add to queue","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CK8BEMfsBBgDIhMIztmWptXKiwMV1eNCBR2k6gpy","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CK8BEMfsBBgDIhMIztmWptXKiwMV1eNCBR2k6gpy","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"OkmNXy7er84","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CK8BEMfsBBgDIhMIztmWptXKiwMV1eNCBR2k6gpy","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["OkmNXy7er84"],"params":"CAQ%3D"}},"videoIds":["OkmNXy7er84"]}}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Add to queue"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CK8BEMfsBBgDIhMIztmWptXKiwMV1eNCBR2k6gpy"}},{"thumbnailOverlayNowPlayingRenderer":{"text":{"runs":[{"text":"Now playing"}]}}}],"accessibility":{"accessibilityData":{"label":"The hardest problem on the hardest test - 11 minutes, 15 seconds - Go to channel - 3Blue1Brown - 15M views - 7 years ago - play video"}},"richThumbnail":{"movingThumbnailRenderer":{"movingThumbnailDetails":{"thumbnails":[{"url":"https://i.ytimg.com/an_webp/OkmNXy7er84/mqdefault_6s.webp?du=3000 sqp=COaSzL0G rs=AOn4CLAQt6r5LKrLeiFqCnhlK0Rss72vDw","width":320,"height":180}],"logAsMovingThumbnail":true},"enableHoveredLogging":true,"enableOverlay":true}}}},{"lockupViewModel":{"contentImage":{"collectionThumbnailViewModel":{"primaryThumbnail":{"thumbnailViewModel":{"image":{"sources":[{"url":"https://i.ytimg.com/vi/uLziIgq9j0E/hqdefault.jpg?sqp=-oaymwEWCKgBEF5IWvKriqkDCQgBFQAAiEIYAQ== rs=AOn4CLCphX3NqFrM9C7q82Mvq9CiStIYew","width":168,"height":94},{"url":"https://i.ytimg.com/vi/uLziIgq9j0E/hqdefault.jpg?sqp=-oaymwEXCNACELwBSFryq4qpAwkIARUAAIhCGAE= rs=AOn4CLBOEMQO4H4jwh7bWUbidjjssmVNDg","width":336,"height":188}]},"overlays":[{"thumbnailOverlayBadgeViewModel":{"thumbnailBadges":[{"thumbnailBadgeViewModel":{"icon":{"sources":[{"clientResource":{"imageName":"PLAYLISTS"}}]},"text":"77 videos","badgeStyle":"THUMBNAIL_OVERLAY_BADGE_STYLE_DEFAULT","backgroundColor":{"lightTheme":3355443,"darkTheme":3355443}}}],"position":"THUMBNAIL_OVERLAY_BADGE_POSITION_BOTTOM_END"}},{"thumbnailHoverOverlayViewModel":{"icon":{"sources":[{"clientResource":{"imageName":"PLAY_ALL"}}]},"text":{"content":"Play all","styleRuns":[{"startIndex":0,"length":8}]},"style":"THUMBNAIL_HOVER_OVERLAY_STYLE_COVER"}}],"backgroundColor":{"lightTheme":4144959,"darkTheme":4144959}}},"stackColor":{"lightTheme":10066329,"darkTheme":9211020}}},"metadata":{"lockupMetadataViewModel":{"title":{"content":"Introduction to Electrodynamics (Griffiths)"},"metadata":{"contentMetadataViewModel":{"metadataRows":[{"metadataParts":[{"text":{"content":"Hayashi Manabu

#############################

New on site