Vector Calculus for Electromagnetism 28 Curl of the Curl
>> YOUR LINK HERE: ___ http://youtube.com/watch?v=_IQrZgZDOf8
In this video I continue with my tutorials which cover the necessary vector calculus for classical electromagnetism which is pitched at university undergraduate level. Specifically in this video I discuss what happens when you take the double curl of a vector function. • The tutorial videos cover a range of vector calculus topics such as grad, div, curl, the fundamental theorems, integration by parts, the Dirac Delta Function, the Helmholtz Theorem, spherical polar co-ordinates etc. • I hope it's of use!! Thank you for watching and I hope that this matches your requirements. Please feel free to provide feedback via comments and share with your friends. • See my website for more: www.universityphysicstutorials.com • Follow me on Twitter @a.beatty503 • Follow me on Facebook @UniversityPhysicsTutorials","styleRuns":[{"startIndex":0,"length":803,"styleRunExtensions":{"styleRunColorMapExtension":{"colorMap":[{"key":"USER_INTERFACE_THEME_DARK","value":4294967295},{"key":"USER_INTERFACE_THEME_LIGHT","value":4279440147}]}},"fontFamilyName":"Roboto"}]},"headerRuns":[{"startIndex":0,"length":803,"headerMapping":"ATTRIBUTED_STRING_HEADER_MAPPING_UNSPECIFIED"}]}},{"itemSectionRenderer":{"contents":[{"continuationItemRenderer":{"trigger":"CONTINUATION_TRIGGER_ON_ITEM_SHOWN","continuationEndpoint":{"clickTrackingParams":"CLsBELsvGAIiEwi5jLfl-q-KAxUE-kIFHXIfLsk=","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/next"}},"continuationCommand":{"token":"Eg0SC19JUXJaZ1pET2Y4GAYyJSIRIgtfSVFyWmdaRE9mODAAeAJCEGNvbW1lbnRzLXNlY3Rpb24%3D","request":"CONTINUATION_REQUEST_TYPE_WATCH_NEXT"}}}}],"trackingParams":"CLsBELsvGAIiEwi5jLfl-q-KAxUE-kIFHXIfLsk=","sectionIdentifier":"comment-item-section","targetId":"comments-section"}}],"trackingParams":"CLoBELovIhMIuYy35fqvigMVBPpCBR1yHy7J"}},"secondaryResults":{"secondaryResults":{"results":[{"compactVideoRenderer":{"videoId":"4__jYocbHV8","thumbnail":{"thumbnails":[{"url":"https://i.ytimg.com/vi/4__jYocbHV8/hqdefault.jpg?sqp=-oaymwEiCKgBEF5IWvKriqkDFQgBFQAAAAAYASUAAMhCPQCAokN4AQ== rs=AOn4CLDxf9BqgnGIKvEgspZ-XdPqvGDAjQ","width":168,"height":94},{"url":"https://i.ytimg.com/vi/4__jYocbHV8/hqdefault.jpg?sqp=-oaymwEjCNACELwBSFryq4qpAxUIARUAAAAAGAElAADIQj0AgKJDeAE= rs=AOn4CLC-KayWUgFF2VrWGSrHSRYGjMg_Zg","width":336,"height":188}]},"title":{"accessibility":{"accessibilityData":{"label":"Vector Calculus for Electromagnetism 29 : Fundamental Theorem of Calculus door Alan Beary 3.599 weergaven 11 jaar geleden 6 minuten en 53 seconden"}},"simpleText":"Vector Calculus for Electromagnetism 29 : Fundamental Theorem of Calculus"},"longBylineText":{"runs":[{"text":"Alan Beary","navigationEndpoint":{"clickTrackingParams":"CLQBEKQwGAAiEwi5jLfl-q-KAxUE-kIFHXIfLskyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@youspinmerightrounds","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UC2MJn6N5dgtva18adjXe4Ag","canonicalBaseUrl":"/@youspinmerightrounds"}}}]},"publishedTimeText":{"simpleText":"11 jaar geleden"},"viewCountText":{"simpleText":"3.599 weergaven"},"lengthText":{"accessibility":{"accessibilityData":{"label":"6 minuten en 53 seconden"}},"simpleText":"6:53"},"navigationEndpoint":{"clickTrackingParams":"CLQBEKQwGAAiEwi5jLfl-q-KAxUE-kIFHXIfLskyB3JlbGF0ZWRI__OMsuDsisL8AZoBBQgBEPgd","commandMetadata":{"webCommandMetadata":{"url":"/watch?v=4__jYocbHV8","webPageType":"WEB_PAGE_TYPE_WATCH","rootVe":3832}},"watchEndpoint":{"videoId":"4__jYocbHV8","nofollow":true,"watchEndpointSupportedOnesieConfig":{"html5PlaybackOnesieConfig":{"commonConfig":{"url":"https://rr3---sn-5hne6nsr.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=e3ffe362871b1d5f ip=5.34.180.98 initcwndbps=1017500 mt=1734477675 oweuc="}}}}},"shortBylineText":{"runs":[{"text":"Alan Beary","navigationEndpoint":{"clickTrackingParams":"CLQBEKQwGAAiEwi5jLfl-q-KAxUE-kIFHXIfLskyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@youspinmerightrounds","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UC2MJn6N5dgtva18adjXe4Ag","canonicalBaseUrl":"/@youspinmerightrounds"}}}]},"channelThumbnail":{"thumbnails":[{"url":"https://yt3.ggpht.com/X-4nXwo4U40csXFeA_88Ymj08LV159pUBwL1VrRcUGdHNc-h3gZlKzX-dD3I2H9Xrzj9tgsxHQ=s68-c-k-c0x00ffffff-no-rj","width":68,"height":68}]},"trackingParams":"CLQBEKQwGAAiEwi5jLfl-q-KAxUE-kIFHXIfLslA37rsuKjs-P_jAQ==","shortViewCountText":{"accessibility":{"accessibilityData":{"label":"3,5 duizend weergaven"}},"simpleText":"3,5K weergaven"},"menu":{"menuRenderer":{"items":[{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Toevoegen aan wachtrij"}]},"icon":{"iconType":"ADD_TO_QUEUE_TAIL"},"serviceEndpoint":{"clickTrackingParams":"CLgBEP6YBBgFIhMIuYy35fqvigMVBPpCBR1yHy7J","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CLgBEP6YBBgFIhMIuYy35fqvigMVBPpCBR1yHy7J","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"4__jYocbHV8","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CLgBEP6YBBgFIhMIuYy35fqvigMVBPpCBR1yHy7J","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["4__jYocbHV8"],"params":"CAQ%3D"}},"videoIds":["4__jYocbHV8"]}},{"clickTrackingParams":"CLgBEP6YBBgFIhMIuYy35fqvigMVBPpCBR1yHy7J","openPopupAction":{"popup":{"notificationActionRenderer":{"responseText":{"simpleText":"Toegevoegd aan wachtrij"},"trackingParams":"CLkBELlqIhMIuYy35fqvigMVBPpCBR1yHy7J"}},"popupType":"TOAST"}}]}},"trackingParams":"CLgBEP6YBBgFIhMIuYy35fqvigMVBPpCBR1yHy7J"}},{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Delen"}]},"icon":{"iconType":"SHARE"},"serviceEndpoint":{"clickTrackingParams":"CLQBEKQwGAAiEwi5jLfl-q-KAxUE-kIFHXIfLsk=","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/share/get_share_panel"}},"shareEntityServiceEndpoint":{"serializedShareEntity":"Cgs0X19qWW9jYkhWOA%3D%3D","commands":[{"clickTrackingParams":"CLQBEKQwGAAiEwi5jLfl-q-KAxUE-kIFHXIfLsk=","openPopupAction":{"popup":{"unifiedSharePanelRenderer":{"trackingParams":"CLcBEI5iIhMIuYy35fqvigMVBPpCBR1yHy7J","showLoadingSpinner":true}},"popupType":"DIALOG","beReused":true}}]}},"trackingParams":"CLQBEKQwGAAiEwi5jLfl-q-KAxUE-kIFHXIfLsk=","hasSeparator":true}}],"trackingParams":"CLQBEKQwGAAiEwi5jLfl-q-KAxUE-kIFHXIfLsk=","accessibility":{"accessibilityData":{"label":"Actiemenu"}},"targetId":"watch-related-menu-button"}},"thumbnailOverlays":[{"thumbnailOverlayTimeStatusRenderer":{"text":{"accessibility":{"accessibilityData":{"label":"6 minuten en 53 seconden"}},"simpleText":"6:53"},"style":"DEFAULT"}},{"thumbnailOverlayToggleButtonRenderer":{"isToggled":false,"untoggledIcon":{"iconType":"WATCH_LATER"},"toggledIcon":{"iconType":"CHECK"},"untoggledTooltip":"Later bekijken","toggledTooltip":"Toegevoegd","untoggledServiceEndpoint":{"clickTrackingParams":"CLYBEPnnAxgBIhMIuYy35fqvigMVBPpCBR1yHy7J","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"addedVideoId":"4__jYocbHV8","action":"ACTION_ADD_VIDEO"}]}},"toggledServiceEndpoint":{"clickTrackingParams":"CLYBEPnnAxgBIhMIuYy35fqvigMVBPpCBR1yHy7J","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"action":"ACTION_REMOVE_VIDEO_BY_VIDEO_ID","removedVideoId":"4__jYocbHV8"}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Later bekijken"}},"toggledAccessibility":{"accessibilityData":{"label":"Toegevoegd"}},"trackingParams":"CLYBEPnnAxgBIhMIuYy35fqvigMVBPpCBR1yHy7J"}},{"thumbnailOverlayToggleButtonRenderer":{"untoggledIcon":{"iconType":"ADD_TO_QUEUE_TAIL"},"toggledIcon":{"iconType":"PLAYLIST_ADD_CHECK"},"untoggledTooltip":"Toevoegen aan wachtrij","toggledTooltip":"Toegevoegd","untoggledServiceEndpoint":{"clickTrackingParams":"CLUBEMfsBBgCIhMIuYy35fqvigMVBPpCBR1yHy7J","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CLUBEMfsBBgCIhMIuYy35fqvigMVBPpCBR1yHy7J","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"4__jYocbHV8","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CLUBEMfsBBgCIhMIuYy35fqvigMVBPpCBR1yHy7J","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["4__jYocbHV8"],"params":"CAQ%3D"}},"videoIds":["4__jYocbHV8"]}}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Toevoegen aan wachtrij"}},"toggledAccessibility":{"accessibilityData":{"label":"Toegevoegd"}},"trackingParams":"CLUBEMfsBBgCIhMIuYy35fqvigMVBPpCBR1yHy7J"}},{"thumbnailOverlayNowPlayingRenderer":{"text":{"runs":[{"text":"Wordt nu afgespeeld"}]}}}],"accessibility":{"accessibilityData":{"label":"Vector Calculus for Electromagnetism 29 : Fundamental Theorem of Calculus - 6 minuten en 53 seconden - Naar kanaal gaan - Alan Beary - 3,5K weergaven - 11 jaar geleden - video afspelen"}}}},{"compactVideoRenderer":{"videoId":"tgx9Da8EMM4","thumbnail":{"thumbnails":[{"url":"https://i.ytimg.com/vi/tgx9Da8EMM4/hqdefault.jpg?sqp=-oaymwEiCKgBEF5IWvKriqkDFQgBFQAAAAAYASUAAMhCPQCAokN4AQ== rs=AOn4CLC9d7elcL7v0ZE3uEDIJe2MQ-Q6Xw","width":168,"height":94},{"url":"https://i.ytimg.com/vi/tgx9Da8EMM4/hqdefault.jpg?sqp=-oaymwEjCNACELwBSFryq4qpAxUIARUAAAAAGAElAADIQj0AgKJDeAE= rs=AOn4CLDFG4WAijXjOQOd_9NvrFMJIrUZ1g","width":336,"height":188}]},"title":{"accessibility":{"accessibilityData":{"label":"Vector Calculus for Electromagnetism 7 : The Gradient Grad door Alan Beary 16.869 weergaven 11 jaar geleden 7 minuten en 56 seconden"}},"simpleText":"Vector Calculus for Electromagnetism 7 : The Gradient Grad"},"longBylineText":{"runs":[{"text":"Alan Beary","navigationEndpoint":{"clickTrackingParams":"CK4BEKQwGAEiEwi5jLfl-q-KAxUE-kIFHXIfLskyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@youspinmerightrounds","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UC2MJn6N5dgtva18adjXe4Ag","canonicalBaseUrl":"/@youspinmerightrounds"}}}]},"publishedTimeText":{"simpleText":"11 jaar geleden"},"viewCountText":{"simpleText":"16.869 weergaven"},"lengthText":{"accessibility":{"accessibilityData":{"label":"7 minuten en 56 seconden"}},"simpleText":"7:56"},"navigationEndpoint":{"clickTrackingParams":"CK4BEKQwGAEiEwi5jLfl-q-KAxUE-kIFHXIfLskyB3JlbGF0ZWRI__OMsuDsisL8AZoBBQgBEPgd","commandMetadata":{"webCommandMetadata":{"url":"/watch?v=tgx9Da8EMM4","webPageType":"WEB_PAGE_TYPE_WATCH","rootVe":3832}},"watchEndpoint":{"videoId":"tgx9Da8EMM4","nofollow":true,"watchEndpointSupportedOnesieConfig":{"html5PlaybackOnesieConfig":{"commonConfig":{"url":"https://rr5---sn-5hne6n6e.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=b60c7d0daf0430ce ip=5.34.180.98 initcwndbps=1017500 mt=1734477675 oweuc="}}}}},"shortBylineText":{"runs":[{"text":"Alan Beary","navigationEndpoint":{"clickTrackingParams":"CK4BEKQwGAEiEwi5jLfl-q-KAxUE-kIFHXIfLskyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@youspinmerightrounds","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UC2MJn6N5dgtva18adjXe4Ag","canonicalBaseUrl":"/@youspinmerightrounds"}}}]},"channelThumbnail":{"thumbnails":[{"url":"https://yt3.ggpht.com/X-4nXwo4U40csXFeA_88Ymj08LV159pUBwL1VrRcUGdHNc-h3gZlKzX-dD3I2H9Xrzj9tgsxHQ=s68-c-k-c0x00ffffff-no-rj","width":68,"height":68}]},"trackingParams":"CK4BEKQwGAEiEwi5jLfl-q-KAxUE-kIFHXIfLslAzuGQ-Nqhn4a2AQ==","shortViewCountText":{"accessibility":{"accessibilityData":{"label":"16 duizend weergaven"}},"simpleText":"16K weergaven"},"menu":{"menuRenderer":{"items":[{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Toevoegen aan wachtrij"}]},"icon":{"iconType":"ADD_TO_QUEUE_TAIL"},"serviceEndpoint":{"clickTrackingParams":"CLIBEP6YBBgFIhMIuYy35fqvigMVBPpCBR1yHy7J","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CLIBEP6YBBgFIhMIuYy35fqvigMVBPpCBR1yHy7J","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"tgx9Da8EMM4","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CLIBEP6YBBgFIhMIuYy35fqvigMVBPpCBR1yHy7J","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["tgx9Da8EMM4"],"params":"CAQ%3D"}},"videoIds":["tgx9Da8EMM4"]}},{"clickTrackingParams":"CLIBEP6YBBgFIhMIuYy35fqvigMVBPpCBR1yHy7J","openPopupAction":{"popup":{"notificationActionRenderer":{"responseText":{"simpleText":"Toegevoegd aan wachtrij"},"trackingParams":"CLMBELlqIhMIuYy35fqvigMVBPpCBR1yHy7J"}},"popupType":"TOAST"}}]}},"trackingParams":"CLIBEP6YBBgFIhMIuYy35fqvigMVBPpCBR1yHy7J"}},{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Delen"}]},"icon":{"iconType":"SHARE"},"serviceEndpoint":{"clickTrackingParams":"CK4BEKQwGAEiEwi5jLfl-q-KAxUE-kIFHXIfLsk=","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/share/get_share_panel"}},"shareEntityServiceEndpoint":{"serializedShareEntity":"Cgt0Z3g5RGE4RU1NNA%3D%3D","commands":[{"clickTrackingParams":"CK4BEKQwGAEiEwi5jLfl-q-KAxUE-kIFHXIfLsk=","openPopupAction":{"popup":{"unifiedSharePanelRenderer":{"trackingParams":"CLEBEI5iIhMIuYy35fqvigMVBPpCBR1yHy7J","showLoadingSpinner":true}},"popupType":"DIALOG","beReused":true}}]}},"trackingParams":"CK4BEKQwGAEiEwi5jLfl-q-KAxUE-kIFHXIfLsk=","hasSeparator":true}}],"trackingParams":"CK4BEKQwGAEiEwi5jLfl-q-KAxUE-kIFHXIfLsk=","accessibility":{"accessibilityData":{"label":"Actiemenu"}}}},"thumbnailOverlays":[{"thumbnailOverlayTimeStatusRenderer":{"text":{"accessibility":{"accessibilityData":{"label":"7 minuten en 56 seconden"}},"simpleText":"7:56"},"style":"DEFAULT"}},{"thumbnailOverlayToggleButtonRenderer":{"isToggled":false,"untoggledIcon":{"iconType":"WATCH_LATER"},"toggledIcon":{"iconType":"CHECK"},"untoggledTooltip":"Later bekijken","toggledTooltip":"Toegevoegd","untoggledServiceEndpoint":{"clickTrackingParams":"CLABEPnnAxgBIhMIuYy35fqvigMVBPpCBR1yHy7J","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"addedVideoId":"tgx9Da8EMM4","action":"ACTION_ADD_VIDEO"}]}},"toggledServiceEndpoint":{"clickTrackingParams":"CLABEPnnAxgBIhMIuYy35fqvigMVBPpCBR1yHy7J","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"action":"ACTION_REMOVE_VIDEO_BY_VIDEO_ID","removedVideoId":"tgx9Da8EMM4"}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Later bekijken"}},"toggledAccessibility":{"accessibilityData":{"label":"Toegevoegd"}},"trackingParams":"CLABEPnnAxgBIhMIuYy35fqvigMVBPpCBR1yHy7J"}},{"thumbnailOverlayToggleButtonRenderer":{"untoggledIcon":{"iconType":"ADD_TO_QUEUE_TAIL"},"toggledIcon":{"iconType":"PLAYLIST_ADD_CHECK"},"untoggledTooltip":"Toevoegen aan wachtrij","toggledTooltip":"Toegevoegd","untoggledServiceEndpoint":{"clickTrackingParams":"CK8BEMfsBBgCIhMIuYy35fqvigMVBPpCBR1yHy7J","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CK8BEMfsBBgCIhMIuYy35fqvigMVBPpCBR1yHy7J","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"tgx9Da8EMM4","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CK8BEMfsBBgCIhMIuYy35fqvigMVBPpCBR1yHy7J","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["tgx9Da8EMM4"],"params":"CAQ%3D"}},"videoIds":["tgx9Da8EMM4"]}}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Toevoegen aan wachtrij"}},"toggledAccessibility":{"accessibilityData":{"label":"Toegevoegd"}},"trackingParams":"CK8BEMfsBBgCIhMIuYy35fqvigMVBPpCBR1yHy7J"}},{"thumbnailOverlayNowPlayingRenderer":{"text":{"runs":[{"text":"Wordt nu afgespeeld"}]}}}],"accessibility":{"accessibilityData":{"label":"Vector Calculus for Electromagnetism 7 : The Gradient Grad - 7 minuten en 56 seconden - Naar kanaal gaan - Alan Beary - 16K weergaven - 11 jaar geleden - video afspelen"}}}},{"compactVideoRenderer":{"videoId":"WmVrc0P_HGw","thumbnail":{"thumbnails":[{"url":"https://i.ytimg.com/vi/WmVrc0P_HGw/hqdefault.jpg?sqp=-oaymwEiCKgBEF5IWvKriqkDFQgBFQAAAAAYASUAAMhCPQCAokN4AQ== rs=AOn4CLBHH6_L4ERQPndQ21HnVWHaKAc5wg","width":168,"height":94},{"url":"https://i.ytimg.com/vi/WmVrc0P_HGw/hqdefault.jpg?sqp=-oaymwEjCNACELwBSFryq4qpAxUIARUAAAAAGAElAADIQj0AgKJDeAE= rs=AOn4CLDJluakcUewIIHEAxLXCZ0CWpG-QQ","width":336,"height":188}]},"title":{"accessibility":{"accessibilityData":{"label":"Vector Calculus for Electromagnetism 14 : Product Rules for Grad Div Curl door Alan Beary 24.572 weergaven 11 jaar geleden 10 minuten en 12 seconden"}},"simpleText":"Vector Calculus for Electromagnetism 14 : Product Rules for Grad Div Curl"},"longBylineText":{"runs":[{"text":"Alan Beary","navigationEndpoint":{"clickTrackingParams":"CKgBEKQwGAIiEwi5jLfl-q-KAxUE-kIFHXIfLskyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@youspinmerightrounds","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UC2MJn6N5dgtva18adjXe4Ag","canonicalBaseUrl":"/@youspinmerightrounds"}}}]},"publishedTimeText":{"simpleText":"11 jaar geleden"},"viewCountText":{"simpleText":"24.572 weergaven"},"lengthText":{"accessibility":{"accessibilityData":{"label":"10 minuten en 12 seconden"}},"simpleText":"10:12"},"navigationEndpoint":{"clickTrackingParams":"CKgBEKQwGAIiEwi5jLfl-q-KAxUE-kIFHXIfLskyB3JlbGF0ZWRI__OMsuDsisL8AZoBBQgBEPgd","commandMetadata":{"webCommandMetadata":{"url":"/watch?v=WmVrc0P_HGw","webPageType":"WEB_PAGE_TYPE_WATCH","rootVe":3832}},"watchEndpoint":{"videoId":"WmVrc0P_HGw","nofollow":true,"watchEndpointSupportedOnesieConfig":{"html5PlaybackOnesieConfig":{"commonConfig":{"url":"https://rr2---sn-5hnekn7s.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=5a656b7343ff1c6c ip=5.34.180.98 initcwndbps=1017500 mt=1734477675 oweuc="}}}}},"shortBylineText":{"runs":[{"text":"Alan Beary","navigationEndpoint":{"clickTrackingParams":"CKgBEKQwGAIiEwi5jLfl-q-KAxUE-kIFHXIfLskyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@youspinmerightrounds","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UC2MJn6N5dgtva18adjXe4Ag","canonicalBaseUrl":"/@youspinmerightrounds"}}}]},"channelThumbnail":{"thumbnails":[{"url":"https://yt3.ggpht.com/X-4nXwo4U40csXFeA_88Ymj08LV159pUBwL1VrRcUGdHNc-h3gZlKzX-dD3I2H9Xrzj9tgsxHQ=s68-c-k-c0x00ffffff-no-rj","width":68,"height":68}]},"trackingParams":"CKgBEKQwGAIiEwi5jLfl-q-KAxUE-kIFHXIfLslA7Lj8n7Tu2rJa","shortViewCountText":{"accessibility":{"accessibilityData":{"label":"24 duizend weergaven"}},"simpleText":"24K weergaven"},"menu":{"menuRenderer":{"items":[{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Toevoegen aan wachtrij"}]},"icon":{"iconType":"ADD_TO_QUEUE_TAIL"},"serviceEndpoint":{"clickTrackingParams":"CKwBEP6YBBgFIhMIuYy35fqvigMVBPpCBR1yHy7J","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CKwBEP6YBBgFIhMIuYy35fqvigMVBPpCBR1yHy7J","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"WmVrc0P_HGw","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CKwBEP6YBBgFIhMIuYy35fqvigMVBPpCBR1yHy7J","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["WmVrc0P_HGw"],"params":"CAQ%3D"}},"videoIds":["WmVrc0P_HGw"]}},{"clickTrackingParams":"CKwBEP6YBBgFIhMIuYy35fqvigMVBPpCBR1yHy7J","openPopupAction":{"popup":{"notificationActionRenderer":{"responseText":{"simpleText":"Toegevoegd aan wachtrij"},"trackingParams":"CK0BELlqIhMIuYy35fqvigMVBPpCBR1yHy7J"}},"popupType":"TOAST"}}]}},"trackingParams":"CKwBEP6YBBgFIhMIuYy35fqvigMVBPpCBR1yHy7J"}},{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Delen"}]},"icon":{"iconType":"SHARE"},"serviceEndpoint":{"clickTrackingParams":"CKgBEKQwGAIiEwi5jLfl-q-KAxUE-kIFHXIfLsk=","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/share/get_share_panel"}},"shareEntityServiceEndpoint":{"serializedShareEntity":"CgtXbVZyYzBQX0hHdw%3D%3D","commands":[{"clickTrackingParams":"CKgBEKQwGAIiEwi5jLfl-q-KAxUE-kIFHXIfLsk=","openPopupAction":{"popup":{"unifiedSharePanelRenderer":{"trackingParams":"CKsBEI5iIhMIuYy35fqvigMVBPpCBR1yHy7J","showLoadingSpinner":true}},"popupType":"DIALOG","beReused":true}}]}},"trackingParams":"CKgBEKQwGAIiEwi5jLfl-q-KAxUE-kIFHXIfLsk=","hasSeparator":true}}],"trackingParams":"CKgBEKQwGAIiEwi5jLfl-q-KAxUE-kIFHXIfLsk=","accessibility":{"accessibilityData":{"label":"Actiemenu"}}}},"thumbnailOverlays":[{"thumbnailOverlayTimeStatusRenderer":{"text":{"accessibility":{"accessibilityData":{"label":"10 minuten en 12 seconden"}},"simpleText":"10:12"},"style":"DEFAULT"}},{"thumbnailOverlayToggleButtonRenderer":{"isToggled":false,"untoggledIcon":{"iconType":"WATCH_LATER"},"toggledIcon":{"iconType":"CHECK"},"untoggledTooltip":"Later bekijken","toggledTooltip":"Toegevoegd","untoggledServiceEndpoint":{"clickTrackingParams":"CKoBEPnnAxgBIhMIuYy35fqvigMVBPpCBR1yHy7J","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"addedVideoId":"WmVrc0P_HGw","action":"ACTION_ADD_VIDEO"}]}},"toggledServiceEndpoint":{"clickTrackingParams":"CKoBEPnnAxgBIhMIuYy35fqvigMVBPpCBR1yHy7J","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"action":"ACTION_REMOVE_VIDEO_BY_VIDEO_ID","removedVideoId":"WmVrc0P_HGw"}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Later bekijken"}},"toggledAccessibility":{"accessibilityData":{"label":"Toegevoegd"}},"trackingParams":"CKoBEPnnAxgBIhMIuYy35fqvigMVBPpCBR1yHy7J"}},{"thumbnailOverlayToggleButtonRenderer":{"untoggledIcon":{"iconType":"ADD_TO_QUEUE_TAIL"},"toggledIcon":{"iconType":"PLAYLIST_ADD_CHECK"},"untoggledTooltip":"Toevoegen aan wachtrij","toggledTooltip":"Toegevoegd","untoggledServiceEndpoint":{"clickTrackingParams":"CKkBEMfsBBgCIhMIuYy35fqvigMVBPpCBR1yHy7J","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CKkBEMfsBBgCIhMIuYy35fqvigMVBPpCBR1yHy7J","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"WmVrc0P_HGw","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CKkBEMfsBBgCIhMIuYy35fqvigMVBPpCBR1yHy7J","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["WmVrc0P_HGw"],"params":"CAQ%3D"}},"videoIds":["WmVrc0P_HGw"]}}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Toevoegen aan wachtrij"}},"toggledAccessibility":{"accessibilityData":{"label":"Toegevoegd"}},"trackingParams":"CKkBEMfsBBgCIhMIuYy35fqvigMVBPpCBR1yHy7J"}},{"thumbnailOverlayNowPlayingRenderer":{"text":{"runs":[{"text":"Wordt nu afgespeeld"}]}}}],"accessibility":{"accessibilityData":{"label":"Vector Calculus for Electromagnetism 14 : Product Rules for Grad Div Curl - 10 minuten en 12 seconden - Naar kanaal gaan - Alan Beary - 24K weergaven - 11 jaar geleden - video afspelen"}}}},{"compactVideoRenderer":{"videoId":"4c8VPOfLayM","thumbnail":{"thumbnails":[{"url":"https://i.ytimg.com/vi/4c8VPOfLayM/hqdefault.jpg?sqp=-oaymwE8CKgBEF5IWvKriqkDLwgBFQAAAAAYASUAAMhCPQCAokN4AfABAfgB-AWAAuADigIMCAAQARhlIGUoZTAP rs=AOn4CLDbbKGewdBXUBlVCHZha7LG0cPm7A","width":168,"height":94},{"url":"https://i.ytimg.com/vi/4c8VPOfLayM/hqdefault.jpg?sqp=-oaymwE9CNACELwBSFryq4qpAy8IARUAAAAAGAElAADIQj0AgKJDeAHwAQH4AfgFgALgA4oCDAgAEAEYZSBlKGUwDw== rs=AOn4CLAKtIU9EPnYsa-ikrnlXVeVY_JnVg","width":336,"height":188}]},"title":{"accessibility":{"accessibilityData":{"label":"Vector Calculus for Electromagnetism 46 : Derivation Biot and Savart Law door Alan Beary 10.388 weergaven 11 jaar geleden 12 minuten en 17 seconden"}},"simpleText":"Vector Calculus for Electromagnetism 46 : Derivation Biot and Savart Law"},"longBylineText":{"runs":[{"text":"Alan Beary","navigationEndpoint":{"clickTrackingParams":"CKIBEKQwGAMiEwi5jLfl-q-KAxUE-kIFHXIfLskyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@youspinmerightrounds","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UC2MJn6N5dgtva18adjXe4Ag","canonicalBaseUrl":"/@youspinmerightrounds"}}}]},"publishedTimeText":{"simpleText":"11 jaar geleden"},"viewCountText":{"simpleText":"10.388 weergaven"},"lengthText":{"accessibility":{"accessibilityData":{"label":"12 minuten en 17 seconden"}},"simpleText":"12:17"},"navigationEndpoint":{"clickTrackingParams":"CKIBEKQwGAMiEwi5jLfl-q-KAxUE-kIFHXIfLskyB3JlbGF0ZWRI__OMsuDsisL8AZoBBQgBEPgd","commandMetadata":{"webCommandMetadata":{"url":"/watch?v=4c8VPOfLayM","webPageType":"WEB_PAGE_TYPE_WATCH","rootVe":3832}},"watchEndpoint":{"videoId":"4c8VPOfLayM","nofollow":true,"watchEndpointSupportedOnesieConfig":{"html5PlaybackOnesieConfig":{"commonConfig":{"url":"https://rr1---sn-5hne6nz6.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=e1cf153ce7cb6b23 ip=5.34.180.98 initcwndbps=1017500 mt=1734477675 oweuc="}}}}},"shortBylineText":{"runs":[{"text":"Alan Beary","navigationEndpoint":{"clickTrackingParams":"CKIBEKQwGAMiEwi5jLfl-q-KAxUE-kIFHXIfLskyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@youspinmerightrounds","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UC2MJn6N5dgtva18adjXe4Ag","canonicalBaseUrl":"/@youspinmerightrounds"}}}]},"channelThumbnail":{"thumbnails":[{"url":"https://yt3.ggpht.com/X-4nXwo4U40csXFeA_88Ymj08LV159pUBwL1VrRcUGdHNc-h3gZlKzX-dD3I2H9Xrzj9tgsxHQ=s68-c-k-c0x00ffffff-no-rj","width":68,"height":68}]},"trackingParams":"CKIBEKQwGAMiEwi5jLfl-q-KAxUE-kIFHXIfLslAo9atvs6nxefhAQ==","shortViewCountText":{"accessibility":{"accessibilityData":{"label":"10 duizend weergaven"}},"simpleText":"10K weergaven"},"menu":{"menuRenderer":{"items":[{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Toevoegen aan wachtrij"}]},"icon":{"iconType":"ADD_TO_QUEUE_TAIL"},"serviceEndpoint":{"clickTrackingParams":"CKYBEP6YBBgFIhMIuYy35fqvigMVBPpCBR1yHy7J","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CKYBEP6YBBgFIhMIuYy35fqvigMVBPpCBR1yHy7J","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"4c8VPOfLayM","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CKYBEP6YBBgFIhMIuYy35fqvigMVBPpCBR1yHy7J","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["4c8VPOfLayM"],"params":"CAQ%3D"}},"videoIds":["4c8VPOfLayM"]}},{"clickTrackingParams":"CKYBEP6YBBgFIhMIuYy35fqvigMVBPpCBR1yHy7J","openPopupAction":{"popup":{"notificationActionRenderer":{"responseText":{"simpleText":"Toegevoegd aan wachtrij"},"trackingParams":"CKcBELlqIhMIuYy35fqvigMVBPpCBR1yHy7J"}},"popupType":"TOAST"}}]}},"trackingParams":"CKYBEP6YBBgFIhMIuYy35fqvigMVBPpCBR1yHy7J"}},{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Delen"}]},"icon":{"iconType":"SHARE"},"serviceEndpoint":{"clickTrackingParams":"CKIBEKQwGAMiEwi5jLfl-q-KAxUE-kIFHXIfLsk=","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/share/get_share_panel"}},"shareEntityServiceEndpoint":{"serializedShareEntity":"Cgs0YzhWUE9mTGF5TQ%3D%3D","commands":[{"clickTrackingParams":"CKIBEKQwGAMiEwi5jLfl-q-KAxUE-kIFHXIfLsk=","openPopupAction":{"popup":{"unifiedSharePanelRenderer":{"trackingParams":"CKUBEI5iIhMIuYy35fqvigMVBPpCBR1yHy7J","showLoadingSpinner":true}},"popupType":"DIALOG","beReused":true}}]}},"trackingParams":"CKIBEKQwGAMiEwi5jLfl-q-KAxUE-kIFHXIfLsk=","hasSeparator":true}}],"trackingParams":"CKIBEKQwGAMiEwi5jLfl-q-KAxUE-kIFHXIfLsk=","accessibility":{"accessibilityData":{"label":"Actiemenu"}}}},"thumbnailOverlays":[{"thumbnailOverlayTimeStatusRenderer":{"text":{"accessibility":{"accessibilityData":{"label":"12 minuten en 17 seconden"}},"simpleText":"12:17"},"style":"DEFAULT"}},{"thumbnailOverlayToggleButtonRenderer":{"isToggled":false,"untoggledIcon":{"iconType":"WATCH_LATER"},"toggledIcon":{"iconType":"CHECK"},"untoggledTooltip":"Later bekijken","toggledTooltip":"Toegevoegd","untoggledServiceEndpoint":{"clickTrackingParams":"CKQBEPnnAxgBIhMIuYy35fqvigMVBPpCBR1yHy7J","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"addedVideoId":"4c8VPOfLayM","action":"ACTION_ADD_VIDEO"}]}},"toggledServiceEndpoint":{"clickTrackingParams":"CKQBEPnnAxgBIhMIuYy35fqvigMVBPpCBR1yHy7J","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"action":"ACTION_REMOVE_VIDEO_BY_VIDEO_ID","removedVideoId":"4c8VPOfLayM"}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Later bekijken"}},"toggledAccessibility":{"accessibilityData":{"label":"Toegevoegd"}},"trackingParams":"CKQBEPnnAxgBIhMIuYy35fqvigMVBPpCBR1yHy7J"}},{"thumbnailOverlayToggleButtonRenderer":{"untoggledIcon":{"iconType":"ADD_TO_QUEUE_TAIL"},"toggledIcon":{"iconType":"PLAYLIST_ADD_CHECK"},"untoggledTooltip":"Toevoegen aan wachtrij","toggledTooltip":"Toegevoegd","untoggledServiceEndpoint":{"clickTrackingParams":"CKMBEMfsBBgCIhMIuYy35fqvigMVBPpCBR1yHy7J","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CKMBEMfsBBgCIhMIuYy35fqvigMVBPpCBR1yHy7J","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"4c8VPOfLayM","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CKMBEMfsBBgCIhMIuYy35fqvigMVBPpCBR1yHy7J","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["4c8VPOfLayM"],"params":"CAQ%3D"}},"videoIds":["4c8VPOfLayM"]}}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Toevoegen aan wachtrij"}},"toggledAccessibility":{"accessibilityData":{"label":"Toegevoegd"}},"trackingParams":"CKMBEMfsBBgCIhMIuYy35fqvigMVBPpCBR1yHy7J"}},{"thumbnailOverlayNowPlayingRenderer":{"text":{"runs":[{"text":"Wordt nu afgespeeld"}]}}}],"accessibility":{"accessibilityData":{"label":"Vector Calculus for Electromagnetism 46 : Derivation Biot and Savart Law - 12 minuten en 17 seconden - Naar kanaal gaan - Alan Beary - 10K weergaven - 11 jaar geleden - video afspelen"}}}},{"compactVideoRenderer":{"videoId":"4wnDampTFxE","thumbnail":{"thumbnails":[{"url":"https://i.ytimg.com/vi/4wnDampTFxE/hqdefault.jpg?sqp=-oaymwEiCKgBEF5IWvKriqkDFQgBFQAAAAAYASUAAMhCPQCAokN4AQ== rs=AOn4CLCs5-WCF5AT1LAfJWroxoOLuh52og","width":168,"height":94},{"url":"https://i.ytimg.com/vi/4wnDampTFxE/hqdefault.jpg?sqp=-oaymwEjCNACELwBSFryq4qpAxUIARUAAAAAGAElAADIQj0AgKJDeAE= rs=AOn4CLDAjGuRs4Zwq6O7rqN7Uc6k9GKADA","width":336,"height":188}]},"title":{"accessibility":{"accessibilityData":{"label":"Curl of Curl of A | Identity Proof | BSc 1st Year | Physics | Semester 1 door Physics Jockey 8.945 weergaven 3 jaar geleden 16 minuten"}},"simpleText":"Curl of Curl of A | Identity Proof | BSc 1st Year | Physics | Semester 1"},"longBylineText":{"runs":[{"text":"Physics Jockey","navigationEndpoint":{"clickTrackingParams":"CJwBEKQwGAQiEwi5jLfl-q-KAxUE-kIFHXIfLskyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@PhysicsJockey","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCyV4EWyY_R9FYYWnspGPfpg","canonicalBaseUrl":"/@PhysicsJockey"}}}]},"publishedTimeText":{"simpleText":"3 jaar geleden"},"viewCountText":{"simpleText":"8.945 weergaven"},"lengthText":{"accessibility":{"accessibilityData":{"label":"16 minuten en 27 seconden"}},"simpleText":"16:27"},"navigationEndpoint":{"clickTrackingParams":"CJwBEKQwGAQiEwi5jLfl-q-KAxUE-kIFHXIfLskyB3JlbGF0ZWRI__OMsuDsisL8AZoBBQgBEPgd","commandMetadata":{"webCommandMetadata":{"url":"/watch?v=4wnDampTFxE","webPageType":"WEB_PAGE_TYPE_WATCH","rootVe":3832}},"watchEndpoint":{"videoId":"4wnDampTFxE","nofollow":true,"watchEndpointSupportedOnesieConfig":{"html5PlaybackOnesieConfig":{"commonConfig":{"url":"https://rr1---sn-5hneknee.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=e309c36a6a531711 ip=5.34.180.98 initcwndbps=1017500 mt=1734477675 oweuc="}}}}},"shortBylineText":{"runs":[{"text":"Physics Jockey","navigationEndpoint":{"clickTrackingParams":"CJwBEKQwGAQiEwi5jLfl-q-KAxUE-kIFHXIfLskyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@PhysicsJockey","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCyV4EWyY_R9FYYWnspGPfpg","canonicalBaseUrl":"/@PhysicsJockey"}}}]},"channelThumbnail":{"thumbnails":[{"url":"https://yt3.ggpht.com/h94XJNTKJMAuSehWSx3VX81_X672_9G5hf0a41kLkVwvpmVeSvqWu989HyOB2JUasBTF-1faLg=s68-c-k-c0x00ffffff-no-rj","width":68,"height":68}]},"trackingParams":"CJwBEKQwGAQiEwi5jLfl-q-KAxUE-kIFHXIfLslAka7M0qbt8ITjAQ==","shortViewCountText":{"accessibility":{"accessibilityData":{"label":"8,9 duizend weergaven"}},"simpleText":"8,9K weergaven"},"menu":{"menuRenderer":{"items":[{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Toevoegen aan wachtrij"}]},"icon":{"iconType":"ADD_TO_QUEUE_TAIL"},"serviceEndpoint":{"clickTrackingParams":"CKABEP6YBBgFIhMIuYy35fqvigMVBPpCBR1yHy7J","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CKABEP6YBBgFIhMIuYy35fqvigMVBPpCBR1yHy7J","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"4wnDampTFxE","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CKABEP6YBBgFIhMIuYy35fqvigMVBPpCBR1yHy7J","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["4wnDampTFxE"],"params":"CAQ%3D"}},"videoIds":["4wnDampTFxE"]}},{"clickTrackingParams":"CKABEP6YBBgFIhMIuYy35fqvigMVBPpCBR1yHy7J","openPopupAction":{"popup":{"notificationActionRenderer":{"responseText":{"simpleText":"Toegevoegd aan wachtrij"},"trackingParams":"CKEBELlqIhMIuYy35fqvigMVBPpCBR1yHy7J"}},"popupType":"TOAST"}}]}},"trackingParams":"CKABEP6YBBgFIhMIuYy35fqvigMVBPpCBR1yHy7J"}},{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Delen"}]},"icon":{"iconType":"SHARE"},"serviceEndpoint":{"clickTrackingParams":"CJwBEKQwGAQiEwi5jLfl-q-KAxUE-kIFHXIfLsk=","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/share/get_share_panel"}},"shareEntityServiceEndpoint":{"serializedShareEntity":"Cgs0d25EYW1wVEZ4RQ%3D%3D","commands":[{"clickTrackingParams":"CJwBEKQwGAQiEwi5jLfl-q-KAxUE-kIFHXIfLsk=","openPopupAction":{"popup":{"unifiedSharePanelRenderer":{"trackingParams":"CJ8BEI5iIhMIuYy35fqvigMVBPpCBR1yHy7J","showLoadingSpinner":true}},"popupType":"DIALOG","beReused":true}}]}},"trackingParams":"CJwBEKQwGAQiEwi5jLfl-q-KAxUE-kIFHXIfLsk=","hasSeparator":true}}],"trackingParams":"CJwBEKQwGAQiEwi5jLfl-q-KAxUE-kIFHXIfLsk=","accessibility":{"accessibilityData":{"label":"Actiemenu"}}}},"thumbnailOverlays":[{"thumbnailOverlayTimeStatusRenderer":{"text":{"accessibility":{"accessibilityData":{"label":"16 minuten en 27 seconden"}},"simpleText":"16:27"},"style":"DEFAULT"}},{"thumbnailOverlayToggleButtonRenderer":{"isToggled":false,"untoggledIcon":{"iconType":"WATCH_LATER"},"toggledIcon":{"iconType":"CHECK"},"untoggledTooltip":"Later bekijken","toggledTooltip":"Toegevoegd","untoggledServiceEndpoint":{"clickTrackingParams":"CJ4BEPnnAxgBIhMIuYy35fqvigMVBPpCBR1yHy7J","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"addedVideoId":"4wnDampTFxE","action":"ACTION_ADD_VIDEO"}]}},"toggledServiceEndpoint":{"clickTrackingParams":"CJ4BEPnnAxgBIhMIuYy35fqvigMVBPpCBR1yHy7J","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"action":"ACTION_REMOVE_VIDEO_BY_VIDEO_ID","removedVideoId":"4wnDampTFxE"}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Later bekijken"}},"toggledAccessibility":{"accessibilityData":{"label":"Toegevoegd"}},"trackingParams":"CJ4BEPnnAxgBIhMIuYy35fqvigMVBPpCBR1yHy7J"}},{"thumbnailOverlayToggleButtonRenderer":{"untoggledIcon":{"iconType":"ADD_TO_QUEUE_TAIL"},"toggledIcon":{"iconType":"PLAYLIST_ADD_CHECK"},"untoggledTooltip":"Toevoegen aan wachtrij","toggledTooltip":"Toegevoegd","untoggledServiceEndpoint":{"clickTrackingParams":"CJ0BEMfsBBgCIhMIuYy35fqvigMVBPpCBR1yHy7J","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CJ0BEMfsBBgCIhMIuYy35fqvigMVBPpCBR1yHy7J","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"4wnDampTFxE","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CJ0BEMfsBBgCIhMIuYy35fqvigMVBPpCBR1yHy7J","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["4wnDampTFxE"],"params":"CAQ%3D"}},"videoIds":["4wnDampTFxE"]}}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Toevoegen aan wachtrij"}},"toggledAccessibility":{"accessibilityData":{"label":"Toegevoegd"}},"trackingParams":"CJ0BEMfsBBgCIhMIuYy35fqvigMVBPpCBR1yHy7J"}},{"thumbnailOverlayNowPlayingRenderer":{"text":{"runs":[{"text":"Wordt nu afgespeeld"}]}}}],"accessibility":{"accessibilityData":{"label":"Curl of Curl of A | Identity Proof | BSc 1st Year | Physics | Semester 1 - 16 minuten - Naar kanaal gaan - Physics Jockey - 8,9K weergaven - 3 jaar geleden - video afspelen"}}}},{"lockupViewModel":{"contentImage":{"collectionThumbnailViewModel":{"primaryThumbnail":{"thumbnailViewModel":{"image":{"sources":[{"url":"https://i.ytimg.com/vi/9sW7k2iTRTM/hqdefault.jpg?sqp=-oaymwEWCKgBEF5IWvKriqkDCQgBFQAAiEIYAQ== rs=AOn4CLDkmGyTvZ8-crwJpggU3aUfJW4OnQ","width":168,"height":94},{"url":"https://i.ytimg.com/vi/9sW7k2iTRTM/hqdefault.jpg?sqp=-oaymwEXCNACELwBSFryq4qpAwkIARUAAIhCGAE= rs=AOn4CLANphko8ofK2JTHGT1TK6-OWtJWaQ","width":336,"height":188}]},"overlays":[{"thumbnailOverlayBadgeViewModel":{"thumbnailBadges":[{"thumbnailBadgeViewModel":{"icon":{"sources":[{"clientResource":{"imageName":"PLAYLISTS"}}]},"text":"47 video's","badgeStyle":"THUMBNAIL_OVERLAY_BADGE_STYLE_DEFAULT","backgroundColor":{"lightTheme":2630946,"darkTheme":2630946}}}],"position":"THUMBNAIL_OVERLAY_BADGE_POSITION_BOTTOM_END"}},{"thumbnailHoverOverlayViewModel":{"icon":{"sources":[{"clientResource":{"imageName":"PLAY_ALL"}}]},"text":{"content":"Alles afspelen","styleRuns":[{"startIndex":0,"length":14}]},"style":"THUMBNAIL_HOVER_OVERLAY_STYLE_COVER"}}],"backgroundColor":{"lightTheme":4143925,"darkTheme":4143925}}},"stackColor":{"lightTheme":12562848,"darkTheme":9208438}}},"metadata":{"lockupMetadataViewModel":{"title":{"content":"Vector Calculus for Electromagnetism"},"metadata":{"contentMetadataViewModel":{"metadataRows":[{"metadataParts":[{"text":{"content":"Alan Beary
#############################