{"id":303050,"date":"2024-08-17T11:39:16","date_gmt":"2024-08-17T11:39:16","guid":{"rendered":"https:\/\/www.electricity-magnetism.org\/?p=303050"},"modified":"2024-09-03T02:04:35","modified_gmt":"2024-09-03T02:04:35","slug":"%e0%a4%b8%e0%a4%b0%e0%a5%8d%e0%a4%95%e0%a4%bf%e0%a4%9f-%e0%a4%ae%e0%a5%87%e0%a4%82-%e0%a4%95%e0%a4%bf%e0%a4%b0%e0%a5%8d%e0%a4%9a%e0%a5%89%e0%a4%ab-%e0%a4%95%e0%a4%be-%e0%a4%95%e0%a4%b0%e0%a4%82","status":"publish","type":"post","link":"https:\/\/www.electricity-magnetism.org\/hi\/%e0%a4%b8%e0%a4%b0%e0%a5%8d%e0%a4%95%e0%a4%bf%e0%a4%9f-%e0%a4%ae%e0%a5%87%e0%a4%82-%e0%a4%95%e0%a4%bf%e0%a4%b0%e0%a5%8d%e0%a4%9a%e0%a5%89%e0%a4%ab-%e0%a4%95%e0%a4%be-%e0%a4%95%e0%a4%b0%e0%a4%82\/","title":{"rendered":"\u0938\u0930\u094d\u0915\u093f\u091f \u092e\u0947\u0902 \u0915\u093f\u0930\u094d\u091a\u0949\u092b \u0915\u093e \u0915\u0930\u0902\u091f \u0915\u093e\u0928\u0942\u0928 \u0915\u0948\u0938\u0947 \u0932\u093e\u0917\u0942 \u0915\u0930\u0947\u0902?"},"content":{"rendered":"<p class=\"sidekick\">\u0938\u0930\u094d\u0915\u093f\u091f \u092e\u0947\u0902 \u0915\u093f\u0930\u094d\u091a\u0949\u092b \u0915\u093e \u0915\u0930\u0902\u091f \u0915\u093e\u0928\u0942\u0928 \u0932\u093e\u0917\u0942 \u0915\u0930\u0928\u0947 \u0915\u0940 \u0935\u093f\u0927\u093f \u0938\u092e\u091d\u0947\u0902, \u0935\u093f\u0926\u094d\u092f\u0941\u0924 \u0938\u0930\u094d\u0915\u093f\u091f \u092e\u0947\u0902 \u0915\u0930\u0902\u091f \u0935\u093f\u0924\u0930\u0923 \u0915\u093e \u0935\u093f\u0936\u094d\u0932\u0947\u0937\u0923 \u0915\u0930\u0947\u0902 \u0914\u0930 \u0907\u0932\u0947\u0915\u094d\u091f\u094d\u0930\u0949\u0928\u093f\u0915\u094d\u0938 \u092e\u0947\u0902 \u0907\u0938\u0915\u0947 \u0909\u092a\u092f\u094b\u0917 \u091c\u093e\u0928\u0947\u0902\u0964<\/p>\n<h2>\u0938\u0930\u094d\u0915\u093f\u091f \u092e\u0947\u0902 \u0915\u093f\u0930\u094d\u091a\u0949\u092b \u0915\u093e \u0915\u0930\u0902\u091f \u0915\u093e\u0928\u0942\u0928 \u0915\u0948\u0938\u0947 \u0932\u093e\u0917\u0942 \u0915\u0930\u0947\u0902?<\/h2>\n<p>\u0915\u093f\u091a\u094d\u0930\u0949\u092b \u0915\u0947 \u0926\u094b \u092a\u094d\u0930\u092e\u0941\u0916 \u0915\u093e\u0928\u0942\u0928 \u0939\u094b\u0924\u0947 \u0939\u0948\u0902: \u0915\u093f\u0930\u094d\u091a\u0949\u092b \u0915\u093e \u0935\u094b\u0932\u094d\u091f\u0947\u091c \u0915\u093e\u0928\u0942\u0928 (KVL) \u0914\u0930 \u0915\u093f\u0930\u094d\u091a\u0949\u092b \u0915\u093e \u0915\u0930\u0902\u091f \u0915\u093e\u0928\u0942\u0928 (KCL)\u0964 \u0907\u0938 \u0932\u0947\u0916 \u092e\u0947\u0902 \u0939\u092e \u0915\u093f\u0930\u094d\u091a\u0949\u092b \u0915\u093e \u0915\u0930\u0902\u091f \u0915\u093e\u0928\u0942\u0928 (KCL) \u092a\u0930 \u0927\u094d\u092f\u093e\u0928 \u0915\u0947\u0928\u094d\u0926\u094d\u0930\u093f\u0924 \u0915\u0930\u0947\u0902\u0917\u0947 \u0914\u0930 \u0938\u0930\u094d\u0915\u093f\u091f \u092e\u0947\u0902 \u0907\u0938\u0947 \u0915\u0948\u0938\u0947 \u0932\u093e\u0917\u0942 \u0915\u093f\u092f\u093e \u091c\u093e\u0924\u093e \u0939\u0948, \u0907\u0938 \u092a\u0930 \u091a\u0930\u094d\u091a\u093e \u0915\u0930\u0947\u0902\u0917\u0947\u0964<\/p>\n<h2>\u0915\u093f\u0930\u094d\u091a\u0949\u092b \u0915\u093e \u0915\u0930\u0902\u091f \u0915\u093e\u0928\u0942\u0928 (KCL) \u0915\u094d\u092f\u093e \u0939\u0948?<\/h2>\n<p>\u0915\u093f\u0930\u094d\u091a\u0949\u092b \u0915\u093e \u0915\u0930\u0902\u091f \u0915\u093e\u0928\u0942\u0928 (Kirchhoff&#8217;s Current Law, KCL) \u0915\u0939\u0924\u093e \u0939\u0948 \u0915\u093f \u0915\u093f\u0938\u0940 \u092d\u0940 \u0928\u094b\u0921 (junction) \u092a\u0930 \u0906\u0928\u0947 \u0935\u093e\u0932\u0940 \u0915\u0941\u0932 \u0927\u093e\u0930\u093e (current) \u092c\u0930\u093e\u092c\u0930 \u0909\u0938 \u0928\u094b\u0921 \u0938\u0947 \u091c\u093e\u0928\u0947 \u0935\u093e\u0932\u0940 \u0915\u0941\u0932 \u0927\u093e\u0930\u093e \u0915\u0947 \u0939\u094b\u0924\u0940 \u0939\u0948\u0964 \u0907\u0938\u0947 \u0938\u0930\u0932 \u0930\u0942\u092a \u092e\u0947\u0902 \u0907\u0938 \u092a\u094d\u0930\u0915\u093e\u0930 \u0935\u094d\u092f\u0915\u094d\u0924 \u0915\u093f\u092f\u093e \u091c\u093e \u0938\u0915\u0924\u093e \u0939\u0948:<\/p>\n<p>\\(\\sum I_{in} = \\sum I_{out}\\)<\/p>\n<p>\u092f\u0939\u093e\u0902 \u092a\u0930:<\/p>\n<p><u1><\/p>\n<li>\\( \\sum I_{in} \\): \u0928\u094b\u0921 \u092a\u0930 \u0906\u0928\u0947 \u0935\u093e\u0932\u0940 \u0915\u0941\u0932 \u0927\u093e\u0930\u093e<\/li>\n<li>\\( \\sum I_{out} \\): \u0928\u094b\u0921 \u0938\u0947 \u091c\u093e\u0928\u0947 \u0935\u093e\u0932\u0940 \u0915\u0941\u0932 \u0927\u093e\u0930\u093e<\/li>\n<p><\/u1><\/p>\n<p>\u092f\u0939 \u0938\u093f\u0926\u094d\u0927\u093e\u0902\u0924 \u090a\u0930\u094d\u091c\u093e \u0938\u0902\u0930\u0915\u094d\u0937\u0923 \u0915\u0947 \u0928\u093f\u092f\u092e \u092a\u0930 \u0906\u0927\u093e\u0930\u093f\u0924 \u0939\u0948, \u091c\u094b \u0915\u0939\u0924\u093e \u0939\u0948 \u0915\u093f \u0915\u094b\u0908 \u092d\u0940 \u0938\u093f\u0938\u094d\u091f\u092e \u0938\u094d\u0925\u093f\u0930 \u0905\u0935\u0938\u094d\u0925\u093e \u092e\u0947\u0902 \u0939\u094b \u0924\u094b \u0909\u0938\u092e\u0947\u0902 \u090a\u0930\u094d\u091c\u093e \u0915\u093e \u0938\u0902\u0924\u0941\u0932\u0928 \u0939\u092e\u0947\u0936\u093e \u092c\u0928\u093e \u0930\u0939\u0924\u093e \u0939\u0948\u0964<\/p>\n<h2>\u0915\u094d\u0932\u093e\u0938\u093f\u0915\u0932 \u0938\u0930\u094d\u0915\u093f\u091f \u0909\u0926\u093e\u0939\u0930\u0923<\/h2>\n<p>\u092e\u093e\u0928 \u0932\u0940\u091c\u093f\u090f \u0915\u093f \u0939\u092e\u093e\u0930\u0947 \u092a\u093e\u0938 \u090f\u0915 \u0938\u0930\u0932 \u0938\u0930\u094d\u0915\u093f\u091f \u0939\u0948 \u091c\u093f\u0938\u092e\u0947\u0902 \u0924\u0940\u0928 \u092a\u094d\u0930\u0924\u093f\u0930\u094b\u0927\u0915 \\( R_1 \\), \\( R_2 \\), \u0914\u0930 \\( R_3 \\) \u091c\u0941\u0921\u093c\u0947 \u0939\u0941\u090f \u0939\u0948\u0902, \u0914\u0930 \u0924\u0940\u0928 \u0927\u093e\u0930\u093e\u090f\u0902 \\( I_1 \\), \\( I_2 \\), \u0914\u0930 \\( I_3 \\) \u0928\u093f\u092e\u094d\u0928 \u092a\u094d\u0930\u0915\u093e\u0930 \u0938\u0947 \u092a\u094d\u0930\u0935\u093e\u0939\u093f\u0924 \u0939\u094b \u0930\u0939\u0940 \u0939\u0948\u0902:<\/p>\n<p><u1><\/p>\n<li>\\( I_1 \\): \u0928\u094b\u0921 A \u0938\u0947 \u0928\u094b\u0921 B \u0915\u0940 \u0926\u093f\u0936\u093e \u092e\u0947\u0902 \u092a\u094d\u0930\u0935\u093e\u0939\u093f\u0924 \u0939\u094b \u0930\u0939\u0940 \u0939\u0948<\/li>\n<li>\\( I_2 \\): \u0928\u094b\u0921 B \u0938\u0947 \u0928\u094b\u0921 C \u0915\u0940 \u0926\u093f\u0936\u093e \u092e\u0947\u0902 \u092a\u094d\u0930\u0935\u093e\u0939\u093f\u0924 \u0939\u094b \u0930\u0939\u0940 \u0939\u0948<\/li>\n<li>\\( I_3 \\): \u0928\u094b\u0921 C \u0938\u0947 \u0928\u094b\u0921 A \u0915\u0940 \u0926\u093f\u0936\u093e \u092e\u0947\u0902 \u092a\u094d\u0930\u0935\u093e\u0939\u093f\u0924 \u0939\u094b \u0930\u0939\u0940 \u0939\u0948<\/li>\n<p><\/u1><\/p>\n<p>\u0928\u094b\u0921 B \u092a\u0930 \u0915\u093f\u0930\u094d\u091a\u0949\u092b \u0915\u0947 \u0915\u0930\u0902\u091f \u0915\u093e\u0928\u0942\u0928 (KCL) \u0915\u094b \u0932\u093e\u0917\u0942 \u0915\u0930\u0924\u0947 \u0938\u092e\u092f, \u0939\u092e\u0947\u0902 \u0927\u094d\u092f\u093e\u0928 \u0930\u0916\u0928\u093e \u0939\u094b\u0917\u093e \u0915\u093f:<\/p>\n<p>\\( I_1 \\) \u0928\u094b\u0921 B \u092a\u0930 \u0906 \u0930\u0939\u0940 \u0927\u093e\u0930\u093e \u0939\u0948 \u0914\u0930 \\( I_2 \\) \u0924\u0925\u093e \\( I_3 \\) \u0928\u094b\u0921 B \u0938\u0947 \u092c\u093e\u0939\u0930 \u091c\u093e \u0930\u0939\u0940 \u0927\u093e\u0930\u093e \u0939\u0948\u0964 \u0907\u0938\u0932\u093f\u090f,<\/p>\n<p>\\[<br \/>\nI_1 = I_2 + I_3<br \/>\n\\]<\/p>\n<p>\u0907\u0938 \u0938\u092e\u0940\u0915\u0930\u0923 \u0915\u094b \u0939\u0932 \u0915\u0930\u0915\u0947 \u0939\u092e \u0927\u093e\u0930\u093e \u0915\u0947 \u092e\u093e\u0928 \u091c\u094d\u091e\u093e\u0924 \u0915\u0930 \u0938\u0915\u0924\u0947 \u0939\u0948\u0902\u0964<\/p>\n<h2>KCL \u0915\u093e \u0909\u092a\u092f\u094b\u0917<\/h2>\n<p><o1><\/p>\n<li>\u092a\u0939\u0932\u093e \u0915\u0926\u092e: \u0938\u092d\u0940 \u0928\u094b\u0921\u094d\u0938 \u0915\u0940 \u092a\u0939\u091a\u093e\u0928 \u0915\u0930\u0947\u0902 \u0914\u0930 \u092a\u094d\u0930\u0924\u094d\u092f\u0947\u0915 \u0928\u094b\u0921 \u092a\u0930 \u0935\u093f\u092d\u093f\u0928\u094d\u0928 \u0927\u093e\u0930\u093e\u0913\u0902 \u0915\u0947 \u0928\u093f\u0930\u094d\u0926\u0947\u0936 \u0924\u092f \u0915\u0930\u0947\u0902\u0964<\/li>\n<li>\u0926\u0942\u0938\u0930\u093e \u0915\u0926\u092e: \u0939\u0930 \u0928\u094b\u0921 \u092a\u0930 KCL \u0915\u093e \u092a\u094d\u0930\u092f\u094b\u0917 \u0915\u0930\u0947\u0902, \u0905\u0930\u094d\u0925\u093e\u0924 \u092a\u094d\u0930\u0924\u094d\u092f\u0947\u0915 \u0928\u094b\u0921 \u092a\u0930 \u0906\u0928\u0947 \u0935\u093e\u0932\u0940 \u0914\u0930 \u091c\u093e\u0928\u0947 \u0935\u093e\u0932\u0940 \u0927\u093e\u0930\u093e\u0913\u0902 \u0915\u0947 \u092f\u094b\u0917 \u0915\u094b \u092c\u0930\u093e\u092c\u0930 \u0930\u0916\u0947\u0902\u0964<\/li>\n<li>\u0924\u0940\u0938\u0930\u093e \u0915\u0926\u092e: \u0909\u0924\u094d\u092a\u0928\u094d\u0928 \u0938\u092e\u0940\u0915\u0930\u0923\u094b\u0902 \u0915\u093e \u0939\u0932 \u0928\u093f\u0915\u093e\u0932\u0947\u0902 \u091c\u093f\u0938\u0938\u0947 \u0927\u093e\u0930\u093e \u0915\u0947 \u092e\u093e\u0928 \u091c\u094d\u091e\u093e\u0924 \u0915\u093f\u090f \u091c\u093e \u0938\u0915\u0947\u0902\u0964<\/li>\n<p><\/o1><\/p>\n<p>\u0907\u0938 \u0935\u093f\u0927\u093f \u0915\u094b \u0905\u092a\u0928\u093e\u0915\u0930 \u0915\u093f\u0938\u0940 \u092d\u0940 \u0938\u0930\u094d\u0915\u093f\u091f \u092e\u0947\u0902 \u0915\u093f\u0930\u094d\u091a\u0949\u092b \u0915\u093e \u0915\u0930\u0902\u091f \u0915\u093e\u0928\u0942\u0928 (KCL) \u092a\u094d\u0930\u092d\u093e\u0935\u0940 \u0930\u0942\u092a \u0938\u0947 \u0932\u093e\u0917\u0942 \u0915\u093f\u092f\u093e \u091c\u093e \u0938\u0915\u0924\u093e \u0939\u0948\u0964<\/p>\n<h2>Summary<\/h2>\n<p><img decoding=\"async\" src=\"https:\/\/www.electricity-magnetism.org\/wp-content\/uploads\/2024\/08\/\u0938\u0930-\u0915-\u091f_\u092e_\u0915-\u0930-\u091a-\u092b_\u0915_\u0915\u0930-\u091f_\u0915-\u0928-\u0928_\u0915-\u0938_\u0932-\u0917_\u0915\u0930.png\" alt=\"\u0938\u0930\u094d\u0915\u093f\u091f \u092e\u0947\u0902 \u0915\u093f\u0930\u094d\u091a\u0949\u092b \u0915\u093e \u0915\u0930\u0902\u091f \u0915\u093e\u0928\u0942\u0928 \u0915\u0948\u0938\u0947 \u0932\u093e\u0917\u0942 \u0915\u0930\u0947\u0902?\" style=\"display: block; margin-left: auto; margin-right: auto;\"\/><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u0938\u0930\u094d\u0915\u093f\u091f \u092e\u0947\u0902 \u0915\u093f\u0930\u094d\u091a\u0949\u092b \u0915\u093e \u0915\u0930\u0902\u091f \u0915\u093e\u0928\u0942\u0928 \u0932\u093e\u0917\u0942 \u0915\u0930\u0928\u0947 \u0915\u0940 \u0935\u093f\u0927\u093f \u0938\u092e\u091d\u0947\u0902, 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