{"id":5440,"date":"2020-02-21T11:23:09","date_gmt":"2020-02-21T11:23:09","guid":{"rendered":"http:\/\/www.max-sperling.bplaced.net\/?p=5440"},"modified":"2024-04-19T11:13:50","modified_gmt":"2024-04-19T11:13:50","slug":"netzwerk-berechnung-beispiel","status":"publish","type":"post","link":"http:\/\/www.max-sperling.bplaced.net\/?p=5440","title":{"rendered":"Physics \u2013 Exercise 2 (Electrics)"},"content":{"rendered":"<p><strong>Given<\/strong><\/p>\n<p><img decoding=\"async\" src=\"http:\/\/www.max-sperling.bplaced.net\/wp-content\/uploads\/2020\/02\/Strom-Netzwerk.png\" class=\"aligncenter\" \/><\/p>\n<hr>\n<p><strong>Find<\/strong><\/p>\n\\(<br \/>\nR_T; I_T; U_{R_1}; U_{R_{2,3}}; U_{R_4}; I_{R_1}; I_{R_2}; I_{R_3}; I_{R_4}<br \/>\n\\)\n<hr>\n<p><strong>Solution<\/strong><\/p>\n\\(<br \/>\nU_T = 12 V \\\\<br \/>\nR_T = R_1 + \\frac{R_2 * R_3}{R_2 + R_3} + R_4 = 32 \\Omega \\\\<br \/>\nI_T = \\frac{U_T}{R_T} = \\frac{12 V}{32 \\Omega} = 0,375 A \\\\<br \/>\n\\)\n<p><u>Kirchhoff&#8217;s voltage law<\/u><\/p>\n\\(<br \/>\nU_T = U_{R_1} + U_{R_{2,3}} + U_{R_4} \\\\<br \/>\nU_{R_1} = I_T * R_1 = 0,375 A * 10 \\Omega = 3,75 V \\\\<br \/>\nU_{R_{2,3}} = I_T * R_{2,3} = 0,375 A * 12 \\Omega = 4,5 V \\\\<br \/>\nU_{R_4} = I_T * R_4 = 0,375 A * 10 \\Omega = 3,75 V \\\\<br \/>\n\\)\n<p><u>Kirchhoff&#8217;s current law<\/u><\/p>\n\\(<br \/>\nI_{R_1} = I_{R_2} + I_{R_3} = I_{R_4} \\\\<br \/>\nI_{R_1} = 0,375 A \\\\<br \/>\nI_{R_2} = \\frac{U_{R_{2,3}}}{R_2} = \\frac{4,5 V}{20 \\Omega} = 0,225 A \\\\<br \/>\nI_{R_3} = \\frac{U_{R_{2,3}}}{R_3} = \\frac{4,5 V}{30 \\Omega} = 0,15 A \\\\<br \/>\nI_{R_4} = 0,375 A \\\\<br \/>\n\\)\n<hr>\n<p><strong>Answer<\/strong><\/p>\n\\(<br \/>\nR_T = 32 \\Omega; I_T = 0,375 A; \\\\<br \/>\nU_{R_1} = 3,75 V; U_{R_{2,3}} = 4,5 V; U_{R_4} = 3,75 V; \\\\<br \/>\nI_{R_1} = 0,375 A; I_{R_2} = 0,225 A; I_{R_3} = 0,15 A; I_{R_4} = 0,375 A \\\\<br \/>\n\\)\n","protected":false},"excerpt":{"rendered":"<p>Given Find Solution Kirchhoff&#8217;s voltage law Kirchhoff&#8217;s current law Answer<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"inline_featured_image":false},"categories":[60],"tags":[],"_links":{"self":[{"href":"http:\/\/www.max-sperling.bplaced.net\/index.php?rest_route=\/wp\/v2\/posts\/5440"}],"collection":[{"href":"http:\/\/www.max-sperling.bplaced.net\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"http:\/\/www.max-sperling.bplaced.net\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"http:\/\/www.max-sperling.bplaced.net\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"http:\/\/www.max-sperling.bplaced.net\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=5440"}],"version-history":[{"count":9,"href":"http:\/\/www.max-sperling.bplaced.net\/index.php?rest_route=\/wp\/v2\/posts\/5440\/revisions"}],"predecessor-version":[{"id":17468,"href":"http:\/\/www.max-sperling.bplaced.net\/index.php?rest_route=\/wp\/v2\/posts\/5440\/revisions\/17468"}],"wp:attachment":[{"href":"http:\/\/www.max-sperling.bplaced.net\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=5440"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/www.max-sperling.bplaced.net\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=5440"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/www.max-sperling.bplaced.net\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=5440"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}