{"id":377181,"date":"2024-08-18T18:32:56","date_gmt":"2024-08-18T18:32:56","guid":{"rendered":"https:\/\/www.electricity-magnetism.org\/?p=377181"},"modified":"2024-10-10T03:33:14","modified_gmt":"2024-10-10T03:33:14","slug":"%e0%a4%aa%e0%a5%89%e0%a4%87%e0%a4%82%e0%a4%9f%e0%a4%bf%e0%a4%82%e0%a4%97-%e0%a4%95%e0%a4%be-%e0%a4%aa%e0%a5%8d%e0%a4%b0%e0%a4%ae%e0%a5%87%e0%a4%af-%e0%a4%b5%e0%a4%bf%e0%a4%a6%e0%a5%8d%e0%a4%af","status":"publish","type":"post","link":"https:\/\/www.electricity-magnetism.org\/hi\/%e0%a4%aa%e0%a5%89%e0%a4%87%e0%a4%82%e0%a4%9f%e0%a4%bf%e0%a4%82%e0%a4%97-%e0%a4%95%e0%a4%be-%e0%a4%aa%e0%a5%8d%e0%a4%b0%e0%a4%ae%e0%a5%87%e0%a4%af-%e0%a4%b5%e0%a4%bf%e0%a4%a6%e0%a5%8d%e0%a4%af\/","title":{"rendered":"\u092a\u0949\u0907\u0902\u091f\u093f\u0902\u0917 \u0915\u093e \u092a\u094d\u0930\u092e\u0947\u092f | \u0935\u093f\u0926\u094d\u092f\u0941\u0924\u091a\u0941\u092e\u094d\u092c\u0915\u0940\u092f \u0915\u094d\u0937\u0947\u0924\u094d\u0930\u094b\u0902 \u092e\u0947\u0902 \u090a\u0930\u094d\u091c\u093e \u092a\u094d\u0930\u0935\u093e\u0939 \u0915\u094b \u0938\u092e\u091d\u0928\u093e"},"content":{"rendered":"<p class=\"sidekick\">\u092a\u0949\u0907\u0902\u091f\u093f\u0902\u0917 \u0915\u093e \u092a\u094d\u0930\u092e\u0947\u092f: \u0935\u093f\u0926\u094d\u092f\u0941\u0924\u091a\u0941\u092e\u094d\u092c\u0915\u0940\u092f \u0915\u094d\u0937\u0947\u0924\u094d\u0930\u094b\u0902 \u092e\u0947\u0902 \u090a\u0930\u094d\u091c\u093e \u092a\u094d\u0930\u0935\u093e\u0939 \u0915\u093e \u0938\u093f\u0926\u094d\u0927\u093e\u0902\u0924, \u0907\u0938\u0915\u0940 \u0917\u0923\u0928\u093e \u0914\u0930 \u090a\u0930\u094d\u091c\u093e \u0915\u0947 \u0938\u0902\u0930\u0915\u094d\u0937\u0923 \u0915\u0947 \u092e\u0939\u0924\u094d\u0935\u092a\u0942\u0930\u094d\u0923 \u0938\u093f\u0926\u094d\u0927\u093e\u0902\u0924\u094b\u0902 \u0915\u0940 \u0938\u0930\u0932 \u0938\u092e\u091d\u0964<\/p>\n<h2>\u092a\u0949\u0907\u0902\u091f\u093f\u0902\u0917 \u0915\u093e \u092a\u094d\u0930\u092e\u0947\u092f | \u0935\u093f\u0926\u094d\u092f\u0941\u0924\u091a\u0941\u092e\u094d\u092c\u0915\u0940\u092f \u0915\u094d\u0937\u0947\u0924\u094d\u0930\u094b\u0902 \u092e\u0947\u0902 \u090a\u0930\u094d\u091c\u093e \u092a\u094d\u0930\u0935\u093e\u0939 \u0915\u094b \u0938\u092e\u091d\u0928\u093e<\/h2>\n<p>\u092a\u0949\u0907\u0902\u091f\u093f\u0902\u0917 \u0915\u093e \u092a\u094d\u0930\u092e\u0947\u092f (Poynting&#8217;s Theorem) \u0935\u093f\u0926\u094d\u092f\u0941\u0924\u091a\u0941\u092e\u094d\u092c\u0915\u0940\u092f \u0915\u094d\u0937\u0947\u0924\u094d\u0930\u094b\u0902 \u092e\u0947\u0902 \u090a\u0930\u094d\u091c\u093e \u0915\u0947 \u092a\u094d\u0930\u0935\u093e\u0939 \u0914\u0930 \u0938\u0902\u0930\u0915\u094d\u0937\u0923 \u0915\u093e \u0935\u0930\u094d\u0923\u0928 \u0915\u0930\u0924\u093e \u0939\u0948\u0964 \u0907\u0938\u0947 \u091c\u0949\u0928 \u0939\u0947\u0928\u0930\u0940 \u092a\u0949\u0907\u0902\u091f\u093f\u0902\u0917 \u0928\u0947 \u0935\u093f\u0915\u0938\u093f\u0924 \u0915\u093f\u092f\u093e \u0925\u093e \u0914\u0930 \u092f\u0939 \u092a\u094d\u0930\u092e\u0947\u092f \u0935\u093f\u0926\u094d\u092f\u0941\u0924\u091a\u0941\u092e\u094d\u092c\u0915\u0940\u092f \u090a\u0930\u094d\u091c\u093e \u0915\u0947 \u092a\u094d\u0930\u0935\u093e\u0939 \u0914\u0930 \u092a\u0930\u093f\u0935\u0930\u094d\u0924\u0928 \u0915\u094b \u0938\u092e\u091d\u0928\u0947 \u092e\u0947\u0902 \u0938\u0939\u093e\u092f\u0915 \u0939\u094b\u0924\u093e \u0939\u0948\u0964<\/p>\n<h2>\u092a\u0949\u0907\u0902\u091f\u093f\u0902\u0917 \u0935\u0947\u0915\u094d\u091f\u0930<\/h2>\n<p>\u092a\u0949\u0907\u0902\u091f\u093f\u0902\u0917 \u0935\u0947\u0915\u094d\u091f\u0930 (Poynting Vector) <i>S<\/i> \u0935\u093f\u0926\u094d\u092f\u0941\u0924 (Electric) \u0914\u0930 \u091a\u0941\u092e\u094d\u092c\u0915\u0940\u092f (Magnetic) \u0915\u094d\u0937\u0947\u0924\u094d\u0930\u094b\u0902 \u0915\u0940 \u090a\u0930\u094d\u091c\u093e \u0918\u0928\u0924\u094d\u0935 \u0915\u0947 \u092a\u094d\u0930\u0935\u093e\u0939 \u0915\u094b \u0926\u0930\u094d\u0936\u093e\u0924\u093e \u0939\u0948\u0964 \u0907\u0938\u0947 \u0928\u093f\u092e\u094d\u0928\u0932\u093f\u0916\u093f\u0924 \u0930\u0942\u092a \u092e\u0947\u0902 \u0935\u094d\u092f\u0915\u094d\u0924 \u0915\u093f\u092f\u093e \u091c\u093e\u0924\u093e \u0939\u0948:<\/p>\n<p><i>\\(\\mathbf{S} = \\mathbf{E} \\times \\mathbf{H}\\)<\/i><\/p>\n<p>\u091c\u0939\u093e\u0902,<\/p>\n<ul>\n<li><i>\\(\\mathbf{E}\\)<\/i> = \u0935\u093f\u0926\u094d\u092f\u0941\u0924 \u0915\u094d\u0937\u0947\u0924\u094d\u0930 (Electric Field)<\/li>\n<li><i>\\(\\mathbf{H}\\)<\/i> = \u091a\u0941\u092e\u094d\u092c\u0915\u0940\u092f \u0915\u094d\u0937\u0947\u0924\u094d\u0930 (Magnetic Field)<\/li>\n<li><i>\\(\\times\\)<\/i> = \u0915\u094d\u0930\u0949\u0938 \u0909\u0924\u094d\u092a\u093e\u0926 (Cross Product)<\/li>\n<\/ul>\n<p>\u0907\u0938 \u0935\u0947\u0915\u094d\u091f\u0930 \u0915\u0940 \u0926\u093f\u0936\u093e \u0935\u093f\u0926\u094d\u092f\u0941\u0924\u091a\u0941\u092e\u094d\u092c\u0915\u0940\u092f \u090a\u0930\u094d\u091c\u093e \u0915\u0947 \u092a\u094d\u0930\u0935\u093e\u0939 \u0915\u0940 \u0926\u093f\u0936\u093e \u0915\u094b \u0926\u0930\u094d\u0936\u093e\u0924\u0940 \u0939\u0948, \u0914\u0930 \u0907\u0938\u0915\u0940 \u092a\u0930\u093f\u092e\u093e\u0923 \u092a\u094d\u0930\u0924\u093f \u0907\u0915\u093e\u0908 \u0915\u094d\u0937\u0947\u0924\u094d\u0930 \u0935\u093f\u0926\u094d\u092f\u0941\u0924\u091a\u0941\u092e\u094d\u092c\u0915\u0940\u092f \u090a\u0930\u094d\u091c\u093e \u092a\u094d\u0930\u0935\u093e\u0939 \u0915\u0940 \u092e\u093e\u0924\u094d\u0930\u093e \u0915\u094b \u0926\u0930\u094d\u0936\u093e\u0924\u093e \u0939\u0948\u0964<\/p>\n<h2>\u092a\u0949\u0907\u0902\u091f\u093f\u0902\u0917 \u0915\u093e \u092a\u094d\u0930\u092e\u0947\u092f<\/h2>\n<p>\u092a\u0949\u0907\u0902\u091f\u093f\u0902\u0917 \u0915\u093e \u092a\u094d\u0930\u092e\u0947\u092f \u0935\u093f\u0926\u094d\u092f\u0941\u0924\u091a\u0941\u092e\u094d\u092c\u0915\u0940\u092f \u090a\u0930\u094d\u091c\u093e \u0915\u0947 \u0938\u0902\u0930\u0915\u094d\u0937\u0923 \u0915\u094b \u0935\u094d\u092f\u0915\u094d\u0924 \u0915\u0930\u0924\u093e \u0939\u0948\u0964 \u0907\u0938\u0947 \u0928\u093f\u092e\u094d\u0928\u0932\u093f\u0916\u093f\u0924 \u0938\u092e\u0940\u0915\u0930\u0923 \u0915\u0947 \u0930\u0942\u092a \u092e\u0947\u0902 \u0905\u092d\u093f\u0935\u094d\u092f\u0915\u094d\u0924 \u0915\u093f\u092f\u093e \u091c\u093e \u0938\u0915\u0924\u093e \u0939\u0948:<\/p>\n<p><i>\\(\\frac{\\partial u}{\\partial t} + \\nabla \\cdot \\mathbf{S} = -\\mathbf{E} \\cdot \\mathbf{J}\\)<\/i><\/p>\n<p>\u091c\u0939\u093e\u0902,<\/p>\n<ul>\n<li><i>u<\/i> = \u0935\u093f\u0926\u094d\u092f\u0941\u0924\u091a\u0941\u092e\u094d\u092c\u0915\u0940\u092f \u090a\u0930\u094d\u091c\u093e \u0918\u0928\u0924\u094d\u0935 (Electromagnetic Energy Density)<\/li>\n<li><i>\\(\\nabla \\cdot \\mathbf{S}\\)<\/i> = \u092a\u0949\u0907\u0902\u091f\u093f\u0902\u0917 \u0935\u0947\u0915\u094d\u091f\u0930 \u0915\u093e \u0935\u094b\u0930\u094d\u091f\u0947\u0915\u094d\u0938 (Divergence of the Poynting Vector)<\/li>\n<li><i>\\(\\mathbf{E} \\cdot \\mathbf{J}\\)<\/i> = \u0935\u093f\u0926\u094d\u092f\u0941\u0924\u0915\u094d\u0937\u0947\u0924\u094d\u0930 \u0926\u094d\u0935\u093e\u0930\u093e \u0915\u093f\u092f\u093e \u091c\u093e \u0930\u0939\u093e \u0915\u093e\u0930\u094d\u092f (Work Done by the Electric Field)<\/li>\n<li><i>t<\/i> = \u0938\u092e\u092f (Time)<\/li>\n<\/ul>\n<h2>\u0935\u093f\u0926\u094d\u092f\u0941\u0924\u091a\u0941\u092e\u094d\u092c\u0915\u0940\u092f \u090a\u0930\u094d\u091c\u093e \u0918\u0928\u0924\u094d\u0935<\/h2>\n<p>\u0935\u093f\u0926\u094d\u092f\u0941\u0924\u091a\u0941\u092e\u094d\u092c\u0915\u0940\u092f \u090a\u0930\u094d\u091c\u093e \u0918\u0928\u0924\u094d\u0935 <i>u<\/i> \u0915\u094b \u0928\u093f\u092e\u094d\u0928\u0932\u093f\u0916\u093f\u0924 \u0930\u0942\u092a \u092e\u0947\u0902 \u0935\u094d\u092f\u0915\u094d\u0924 \u0915\u093f\u092f\u093e \u091c\u093e\u0924\u093e \u0939\u0948:<\/p>\n<p><i>\\(u = \\frac{1}{2} (\\epsilon |\\mathbf{E}|^2 + \\frac{1}{\\mu} |\\mathbf{B}|^2)\\)<\/i><\/p>\n<p>\u091c\u0939\u093e\u0902,<\/p>\n<ul>\n<li><i>\\(\\epsilon\\)<\/i> = \u092a\u0930\u093e\u0935\u0948\u0926\u094d\u092f\u0941\u0924\u093e\u0902\u0915 (Permittivity)<\/li>\n<li><i>\\(\\mu\\)<\/i> = \u0906\u0935\u0936\u094d\u092f\u0915\u0924\u093e (Permeability)<\/li>\n<li><i>\\(\\mathbf{B}\\)<\/i> = \u091a\u0941\u092e\u094d\u092c\u0915\u0940\u092f \u0915\u094d\u0937\u0947\u0924\u094d\u0930 \u0918\u0928\u0924\u094d\u0935 (Magnetic Field Density)<\/li>\n<\/ul>\n<h2>\u0928\u093f\u0937\u094d\u0915\u0930\u094d\u0937<\/h2>\n<p>\u092a\u0949\u0907\u0902\u091f\u093f\u0902\u0917 \u0915\u093e \u092a\u094d\u0930\u092e\u0947\u092f \u0939\u092e\u0947\u0902 \u092f\u0939 \u0938\u092e\u091d\u0928\u0947 \u092e\u0947\u0902 \u092e\u0926\u0926 \u0915\u0930\u0924\u093e \u0939\u0948 \u0915\u093f \u0935\u093f\u0926\u094d\u092f\u0941\u0924\u091a\u0941\u092e\u094d\u092c\u0915\u0940\u092f \u090a\u0930\u094d\u091c\u093e \u0915\u093e \u092a\u094d\u0930\u0935\u093e\u0939 \u0915\u0948\u0938\u0947 \u0939\u094b\u0924\u093e \u0939\u0948 \u0914\u0930 \u0907\u0938\u0947 \u0935\u093f\u092d\u093f\u0928\u094d\u0928 \u092e\u093e\u0927\u094d\u092f\u092e\u094b\u0902 \u092e\u0947\u0902 \u0915\u0948\u0938\u0947 \u0938\u0902\u0930\u0915\u094d\u0937\u093f\u0924 \u0915\u093f\u092f\u093e \u091c\u093e\u0924\u093e \u0939\u0948\u0964 \u092f\u0939 \u092a\u094d\u0930\u092e\u0947\u092f \u0935\u093f\u0926\u094d\u092f\u0941\u0924 \u0914\u0930 \u091a\u0941\u092e\u094d\u092c\u0915\u0940\u092f \u0915\u094d\u0937\u0947\u0924\u094d\u0930\u094b\u0902 \u0915\u0947 \u0909\u092a\u0915\u0930\u0923\u094b\u0902 \u0914\u0930 \u092a\u094d\u0930\u0923\u093e\u0932\u093f\u092f\u094b\u0902 \u0915\u0947 \u0905\u0927\u094d\u092f\u092f\u0928 \u092e\u0947\u0902 \u092e\u0939\u0924\u094d\u0935\u092a\u0942\u0930\u094d\u0923 \u092d\u0942\u092e\u093f\u0915\u093e \u0928\u093f\u092d\u093e\u0924\u093e \u0939\u0948\u0964 \u0907\u0938\u0915\u0947 \u092e\u093e\u0927\u094d\u092f\u092e \u0938\u0947 \u0939\u092e \u090a\u0930\u094d\u091c\u093e \u0915\u0940 \u0938\u0941\u0930\u0915\u094d\u0937\u093e \u0914\u0930 \u092a\u094d\u0930\u092d\u093e\u0935\u0940 \u0909\u092a\u092f\u094b\u0917 \u0915\u094b \u0938\u0941\u0928\u093f\u0936\u094d\u091a\u093f\u0924 \u0915\u0930 \u0938\u0915\u0924\u0947 \u0939\u0948\u0902\u0964<\/p>\n<h2>Summary<\/h2>\n<p><img decoding=\"async\" src=\"https:\/\/www.electricity-magnetism.org\/wp-content\/uploads\/2024\/08\/\u092a-\u0907-\u091f-\u0917_\u0915_\u092a-\u0930\u092e-\u092f_\u0935-\u0926-\u092f-\u0924\u091a-\u092e-\u092c\u0915-\u092f_\u0915-\u0937-\u0924-\u0930_\u092e_\u090a\u0930-\u091c_\u092a-\u0930\u0935-\u0939_\u0915_\u0938\u092e\u091d\u0928.png\" alt=\"\u092a\u0949\u0907\u0902\u091f\u093f\u0902\u0917 \u0915\u093e \u092a\u094d\u0930\u092e\u0947\u092f | \u0935\u093f\u0926\u094d\u092f\u0941\u0924\u091a\u0941\u092e\u094d\u092c\u0915\u0940\u092f \u0915\u094d\u0937\u0947\u0924\u094d\u0930\u094b\u0902 \u092e\u0947\u0902 \u090a\u0930\u094d\u091c\u093e \u092a\u094d\u0930\u0935\u093e\u0939 \u0915\u094b \u0938\u092e\u091d\u0928\u093e\" style=\"display: block; margin-left: auto; margin-right: auto;\"\/><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u092a\u0949\u0907\u0902\u091f\u093f\u0902\u0917 \u0915\u093e \u092a\u094d\u0930\u092e\u0947\u092f: \u0935\u093f\u0926\u094d\u092f\u0941\u0924\u091a\u0941\u092e\u094d\u092c\u0915\u0940\u092f \u0915\u094d\u0937\u0947\u0924\u094d\u0930\u094b\u0902 \u092e\u0947\u0902 \u090a\u0930\u094d\u091c\u093e \u092a\u094d\u0930\u0935\u093e\u0939 \u0915\u093e \u0938\u093f\u0926\u094d\u0927\u093e\u0902\u0924, \u0907\u0938\u0915\u0940 \u0917\u0923\u0928\u093e \u0914\u0930 \u090a\u0930\u094d\u091c\u093e \u0915\u0947 \u0938\u0902\u0930\u0915\u094d\u0937\u0923 \u0915\u0947 \u092e\u0939\u0924\u094d\u0935\u092a\u0942\u0930\u094d\u0923 \u0938\u093f\u0926\u094d\u0927\u093e\u0902\u0924\u094b\u0902 \u0915\u0940 \u0938\u0930\u0932 \u0938\u092e\u091d\u0964<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_generate-full-width-content":"","footnotes":""},"categories":[106],"tags":[],"class_list":["post-377181","post","type-post","status-publish","format-standard","hentry","category-uncategorized-hi","generate-columns","tablet-grid-50","mobile-grid-100","grid-parent","grid-50"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v17.9 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>\u092a\u0949\u0907\u0902\u091f\u093f\u0902\u0917 \u0915\u093e \u092a\u094d\u0930\u092e\u0947\u092f | \u0935\u093f\u0926\u094d\u092f\u0941\u0924\u091a\u0941\u092e\u094d\u092c\u0915\u0940\u092f \u0915\u094d\u0937\u0947\u0924\u094d\u0930\u094b\u0902 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