{"id":30990,"date":"2021-09-21T13:00:39","date_gmt":"2021-09-21T13:00:39","guid":{"rendered":"http:\/\/toposuranos.com\/material\/?p=30990"},"modified":"2025-01-03T19:44:17","modified_gmt":"2025-01-03T19:44:17","slug":"%e0%a4%b5%e0%a4%bf%e0%a4%a6%e0%a5%8d%e0%a4%af%e0%a5%81%e0%a4%a4-%e0%a4%95%e0%a5%8d%e0%a4%b7%e0%a5%87%e0%a4%a4%e0%a5%8d%e0%a4%b0-%e0%a4%95%e0%a5%80-%e0%a4%85%e0%a4%b5%e0%a4%a7%e0%a4%be%e0%a4%b0","status":"publish","type":"post","link":"http:\/\/toposuranos.com\/material\/hi\/%e0%a4%b5%e0%a4%bf%e0%a4%a6%e0%a5%8d%e0%a4%af%e0%a5%81%e0%a4%a4-%e0%a4%95%e0%a5%8d%e0%a4%b7%e0%a5%87%e0%a4%a4%e0%a5%8d%e0%a4%b0-%e0%a4%95%e0%a5%80-%e0%a4%85%e0%a4%b5%e0%a4%a7%e0%a4%be%e0%a4%b0\/","title":{"rendered":"\u0935\u093f\u0926\u094d\u092f\u0941\u0924 \u0915\u094d\u0937\u0947\u0924\u094d\u0930 \u0915\u0940 \u0905\u0935\u0927\u093e\u0930\u0923\u093e"},"content":{"rendered":"<style>\n    p, ul, ol {\n        text-align: justify;\n    }\n    h1, h2 {\n        text-align: center;\n    }\n<\/style>\n<h1>\u0935\u093f\u0926\u094d\u092f\u0941\u0924 \u0915\u094d\u0937\u0947\u0924\u094d\u0930 \u0915\u0940 \u0905\u0935\u0927\u093e\u0930\u0923\u093e<\/h1>\n<p style=\"text-align: center;\"><em>19\u0935\u0940\u0902 \u0936\u0924\u093e\u092c\u094d\u0926\u0940 \u092e\u0947\u0902, \u092e\u093e\u0907\u0915\u0932 \u092b\u0948\u0930\u093e\u0921\u0947, \u091c\u094b \u092c\u093f\u091c\u0932\u0940 \u0915\u0947 \u0915\u094d\u0937\u0947\u0924\u094d\u0930 \u092e\u0947\u0902 \u0938\u092c\u0938\u0947 \u092e\u0939\u093e\u0928 \u092a\u094d\u0930\u092f\u094b\u0917\u0915\u0930\u094d\u0924\u093e\u0913\u0902 \u092e\u0947\u0902 \u0938\u0947 \u090f\u0915 \u0925\u0947, \u0915\u093e\u092e \u0915\u0930\u0928\u0947 \u0915\u093e \u090f\u0915 \u0905\u0928\u0942\u0920\u093e \u0924\u0930\u0940\u0915\u093e \u0905\u092a\u0928\u093e\u0924\u0947 \u0925\u0947\u0964 \u0935\u0939 \u0905\u092a\u0928\u0947 \u092a\u094d\u0930\u092f\u094b\u0917\u0936\u093e\u0932\u093e \u0915\u094b \u0924\u093e\u0930\u094b\u0902, 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\u091b\u093e\u0924\u094d\u0930 \u0928\u093f\u092e\u094d\u0928\u0932\u093f\u0916\u093f\u0924 \u0915\u093e\u0930\u094d\u092f \u0915\u0930\u0928\u0947 \u092e\u0947\u0902 \u0938\u0915\u094d\u0937\u092e \u0939\u094b\u0902\u0917\u0947:\n<\/p>\n<ol>\n<li><strong>\u0938\u092e\u091d\u0947\u0902<\/strong> \u0935\u093f\u0926\u094d\u092f\u0941\u0924 \u0915\u094d\u0937\u0947\u0924\u094d\u0930 \u0915\u0940 \u0905\u0935\u0927\u093e\u0930\u0923\u093e \u0914\u0930 \u0907\u0938\u0947 \u0915\u0942\u0932\u0949\u092e\u094d\u092c \u0915\u0947 \u0928\u093f\u092f\u092e \u0915\u0947 \u092e\u093e\u0927\u094d\u092f\u092e \u0938\u0947 \u092c\u0932 \u0915\u0947 \u0938\u093e\u0925 \u0938\u0902\u092c\u0902\u0927\u0964<\/li>\n<li><strong>\u0932\u093e\u0917\u0942 \u0915\u0930\u0947\u0902<\/strong> \u0935\u093f\u0926\u094d\u092f\u0941\u0924 \u0915\u094d\u0937\u0947\u0924\u094d\u0930 \u0915\u0940 \u092a\u0930\u093f\u092d\u093e\u0937\u093e \u0915\u094b \u092c\u093f\u0902\u0926\u0941 \u0906\u0935\u0947\u0936 \u0938\u0947 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\u0939\u0948?<\/h2>\n<p><a href=\"https:\/\/www.youtube.com\/watch?v=KWwRfJ9ZRrA&amp;t=191s\" target=\"_blank\" rel=\"noopener\"><strong>\u091c\u092c \u0939\u092e \u0915\u093f\u0938\u0940 \u0938\u094d\u0925\u093e\u0928 \u092a\u0930 \u090f\u0915 \u0938\u094d\u0930\u094b\u0924 \u0906\u0935\u0947\u0936 \u0930\u0916\u0924\u0947 \u0939\u0948\u0902<\/strong><\/a>, \u0924\u094b \u0939\u092e \u090f\u0915 \u092a\u0930\u0940\u0915\u094d\u0937\u0923 \u0906\u0935\u0947\u0936 \u0915\u093e \u0909\u092a\u092f\u094b\u0917 \u0915\u0930\u0915\u0947 \u0909\u0938\u0915\u0940 \u0909\u092a\u0938\u094d\u0925\u093f\u0924\u093f \u0915\u094b \u092e\u0939\u0938\u0942\u0938 \u0915\u0930 \u0938\u0915\u0924\u0947 \u0939\u0948\u0902, \u0915\u094d\u092f\u094b\u0902\u0915\u093f \u092f\u0939 \u092a\u0930\u0940\u0915\u094d\u0937\u0923 \u0906\u0935\u0947\u0936 \u0909\u0938 \u0938\u094d\u0925\u093e\u0928 \u092a\u0930 <strong>\u0935\u093f\u0926\u094d\u092f\u0941\u0924 \u092c\u0932<\/strong> \u092e\u0939\u0938\u0942\u0938 \u0915\u0930\u0924\u093e \u0939\u0948\u0964 \u0907\u0938 \u092c\u0932 \u0915\u093e \u0905\u0927\u094d\u092f\u092f\u0928 \u0915\u0942\u0932\u0949\u092e\u094d\u092c \u0915\u0947 \u0928\u093f\u092f\u092e \u0915\u0947 \u092e\u093e\u0927\u094d\u092f\u092e \u0938\u0947 \u0915\u093f\u092f\u093e \u091c\u093e\u0924\u093e \u0939\u0948\u0964 \u0907\u0938 \u092a\u0930 \u0906\u0927\u093e\u0930\u093f\u0924, \u0939\u092e \u0915\u0939\u0924\u0947 \u0939\u0948\u0902 \u0915\u093f \u0938\u094d\u0930\u094b\u0924 \u0906\u0935\u0947\u0936 \u00ab\u0938\u094d\u0925\u093e\u0928 \u0915\u094b \u092d\u0930 \u0926\u0947\u0924\u093e \u0939\u0948\u00bb \u090f\u0915 \u0917\u0941\u0923\u0927\u0930\u094d\u092e \u0915\u0947 \u0938\u093e\u0925, \u091c\u093f\u0938\u0947 \u0935\u093f\u0926\u094d\u092f\u0941\u0924 \u0915\u094d\u0937\u0947\u0924\u094d\u0930 \u0915\u0939\u0924\u0947 \u0939\u0948\u0902, \u091c\u094b \u0935\u093f\u0926\u094d\u092f\u0941\u0924 \u092c\u0932 \u0909\u0924\u094d\u092a\u0928\u094d\u0928 \u0915\u0930\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f \u091c\u093f\u092e\u094d\u092e\u0947\u0926\u093e\u0930 \u0939\u0948\u0964<\/p>\n<p>\u0915\u093f\u0938\u0940 \u0938\u094d\u0925\u093e\u0928 <span class=\"katex-eq\" data-katex-display=\"false\">\\vec{r}<\/span> \u092a\u0930 <span class=\"katex-eq\" data-katex-display=\"false\">q<\/span> \u0906\u0935\u0947\u0936 \u0915\u0947 \u0935\u093f\u0926\u094d\u092f\u0941\u0924 \u0915\u094d\u0937\u0947\u0924\u094d\u0930 \u0915\u094b \u092e\u093e\u092a\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f, \u0939\u092e\u0947\u0902 \u0909\u0938 \u0938\u094d\u0925\u093e\u0928 \u092a\u0930 \u090f\u0915 \u092a\u0930\u0940\u0915\u094d\u0937\u0923 \u0906\u0935\u0947\u0936 <span class=\"katex-eq\" data-katex-display=\"false\">q_0<\/span> \u0930\u0916\u0928\u093e \u0939\u094b\u0917\u093e\u0964 \u0935\u093f\u0926\u094d\u092f\u0941\u0924 \u0915\u094d\u0937\u0947\u0924\u094d\u0930 \u0915\u094b \u0907\u0938 \u092a\u094d\u0930\u0915\u093e\u0930 \u0935\u0930\u094d\u0923\u093f\u0924 \u0915\u093f\u092f\u093e \u091c\u093e\u090f\u0917\u093e \u0915\u093f \u092a\u0930\u0940\u0915\u094d\u0937\u0923 \u0906\u0935\u0947\u0936 <span class=\"katex-eq\" data-katex-display=\"false\">q_0<\/span> \u0926\u094d\u0935\u093e\u0930\u093e \u092e\u0939\u0938\u0942\u0938 \u0915\u093f\u092f\u093e \u0917\u092f\u093e \u0935\u093f\u0926\u094d\u092f\u0941\u0924 \u092c\u0932 \u092a\u094d\u0930\u0924\u093f \u0907\u0915\u093e\u0908 \u0906\u0935\u0947\u0936\u0964<\/p>\n<p style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">\\vec{E}_q(\\vec{r}) = \\displaystyle \\frac{\\vec{F}_{q\\to q_0}(\\vec{r})}{q_0}<\/span>\n<p>\u0932\u0947\u0915\u093f\u0928 \u091c\u092c \u0939\u092e \u0907\u0938 \u0924\u0930\u0940\u0915\u0947 \u0938\u0947 \u0906\u0917\u0947 \u092c\u0922\u093c\u0924\u0947 \u0939\u0948\u0902, \u0924\u094b \u0939\u092e \u0907\u0938 \u0924\u0925\u094d\u092f \u0915\u094b \u0905\u0928\u0926\u0947\u0916\u093e \u0915\u0930 \u0930\u0939\u0947 \u0939\u0948\u0902 \u0915\u093f \u092a\u0930\u0940\u0915\u094d\u0937\u0923 \u0906\u0935\u0947\u0936 \u0915\u093e \u092d\u0940 \u0905\u092a\u0928\u093e \u0935\u093f\u0926\u094d\u092f\u0941\u0924 \u0915\u094d\u0937\u0947\u0924\u094d\u0930 \u0939\u094b\u0928\u093e \u091a\u093e\u0939\u093f\u090f, \u0914\u0930 \u092f\u0939 \u0938\u094d\u0930\u094b\u0924 \u0906\u0935\u0947\u0936 \u0915\u0947 \u0915\u094d\u0937\u0947\u0924\u094d\u0930 \u0915\u0947 \u0938\u093e\u0925 \u0905\u0927\u094d\u092f\u093e\u0930\u094b\u092a\u093f\u0924 \u0939\u094b\u0917\u093e\u0964 \u0907\u0938 \u0938\u092e\u0938\u094d\u092f\u093e \u0915\u094b \u0939\u0932 \u0915\u0930\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f, \u0939\u092e \u0938\u0940\u092e\u093e \u0915\u0947 \u092e\u093e\u0927\u094d\u092f\u092e \u0938\u0947 \u0935\u093f\u0926\u094d\u092f\u0941\u0924 \u0915\u094d\u0937\u0947\u0924\u094d\u0930 \u0915\u0940 \u092c\u093e\u0924 \u0915\u0930\u0924\u0947 \u0939\u0948\u0902:<\/p>\n<p style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle\\vec{E}_q(\\vec{r}) = \\lim_{q_0 \\to 0} \\frac{\\vec{F}_{q\\to q_0}(\\vec{r})}{q_0}<\/span>\n<p>\u0938\u0940\u092e\u093e \u0915\u0947 \u092e\u093e\u0927\u094d\u092f\u092e \u0938\u0947 \u092a\u0930\u093f\u092d\u093e\u0937\u093e \u0915\u093e \u0909\u092a\u092f\u094b\u0917 \u0915\u0930\u0915\u0947, \u0939\u092e \u092f\u0939 \u0938\u0941\u0928\u093f\u0936\u094d\u091a\u093f\u0924 \u0915\u0930\u0924\u0947 \u0939\u0948\u0902 \u0915\u093f \u092a\u0930\u0940\u0915\u094d\u0937\u0923 \u0906\u0935\u0947\u0936 <span class=\"katex-eq\" data-katex-display=\"false\">q_0<\/span> \u0915\u093e \u0915\u094d\u0937\u0947\u0924\u094d\u0930 <span class=\"katex-eq\" data-katex-display=\"false\">q<\/span> \u0915\u0947 \u0915\u094d\u0937\u0947\u0924\u094d\u0930 \u0915\u0940 \u092e\u093e\u092a \u092e\u0947\u0902 \u0939\u0938\u094d\u0924\u0915\u094d\u0937\u0947\u092a \u0928 \u0915\u0930\u0947\u0964 \u0905\u092c, \u0915\u0942\u0932\u0949\u092e\u094d\u092c \u0915\u0947 \u0928\u093f\u092f\u092e \u0915\u094b \u092f\u093e\u0926 \u0915\u0930\u0924\u0947 \u0939\u0941\u090f, \u090f\u0915 \u0906\u0935\u0947\u0936\u093f\u0924 \u0915\u0923 <span class=\"katex-eq\" data-katex-display=\"false\">q<\/span> \u0915\u093e \u0935\u093f\u0926\u094d\u092f\u0941\u0924 \u0915\u094d\u0937\u0947\u0924\u094d\u0930 \u0928\u093f\u092e\u094d\u0928\u0932\u093f\u0916\u093f\u0924 \u0930\u0942\u092a \u092e\u0947\u0902 \u0939\u0948:<\/p>\n<p style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle\\vec{E}_q(\\vec{r}) = \\lim_{q_0 \\to 0} \\frac{1}{q_0} \\frac{1}{4\\pi \\epsilon_0} \\frac{qq_0}{\\|\\vec{r} -\\vec{r}^\\prime\\|^2} \\frac{\\vec{r} -\\vec{r}^\\prime}{\\|\\vec{r} -\\vec{r}^\\prime\\|} = \\frac{q}{4\\pi\\epsilon_0} \\frac{\\vec{r} -\\vec{r}^\\prime}{\\|\\vec{r} -\\vec{r}^\\prime\\|^3} <\/span>\n<p>\u0914\u0930, \u0907\u0938\u0938\u0947 \u092f\u0939 \u0928\u093f\u0937\u094d\u0915\u0930\u094d\u0937 \u0928\u093f\u0915\u0932\u0924\u093e \u0939\u0948 \u0915\u093f:<\/p>\n<p style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle \\vec{F}_{q\\to q_0}(\\vec{r}) = q_0 \\vec{E}_q(\\vec{r}) <\/span>\n<p><a name=\"2\"><\/a> <\/p>\n<h2>\u0935\u093f\u0926\u094d\u092f\u0941\u0924 \u0915\u094d\u0937\u0947\u0924\u094d\u0930 \u0914\u0930 \u0906\u0935\u0947\u0936 \u0935\u093f\u0924\u0930\u0923<\/h2>\n<p><a href=\"https:\/\/www.youtube.com\/watch?v=KWwRfJ9ZRrA&amp;t=565s\" target=\"_blank\" rel=\"noopener\"><strong>\u091a\u0942\u0902\u0915\u093f \u0935\u093f\u0926\u094d\u092f\u0941\u0924 \u0915\u094d\u0937\u0947\u0924\u094d\u0930<\/strong><\/a> \u092c\u0932 \u0915\u0947 \u0938\u0902\u0926\u0930\u094d\u092d \u092e\u0947\u0902 \u0905\u0927\u094d\u092f\u092f\u0928 \u0915\u093f\u092f\u093e \u091c\u093e\u0924\u093e \u0939\u0948, \u0914\u0930 \u092f\u0939 \u0905\u0927\u094d\u092f\u093e\u0930\u094b\u092a\u0923 \u0915\u0947 \u0938\u093f\u0926\u094d\u0927\u093e\u0902\u0924 \u0915\u093e \u092a\u093e\u0932\u0928 \u0915\u0930\u0924\u093e \u0939\u0948, \u0939\u092e \u0935\u093f\u092d\u093f\u0928\u094d\u0928 \u0906\u0935\u0947\u0936 \u0935\u093f\u0924\u0930\u0923\u094b\u0902 \u0915\u0947 \u0915\u094d\u0937\u0947\u0924\u094d\u0930 \u0915\u093e \u0905\u0927\u094d\u092f\u092f\u0928 \u0915\u0930 \u0938\u0915\u0924\u0947 \u0939\u0948\u0902\u0964<\/p>\n<h3>\u0905\u0938\u0924\u0924 \u0935\u093f\u0924\u0930\u0923<\/h3>\n<p><a href=\"https:\/\/www.youtube.com\/watch?v=KWwRfJ9ZRrA&amp;t=587s\" target=\"_blank\" rel=\"noopener\"><strong>\u092e\u093e\u0928 \u0932\u0947\u0902 \u0915\u093f \u0939\u092e\u093e\u0930\u0947 \u092a\u093e\u0938 <span class=\"katex-eq\" data-katex-display=\"false\">n<\/span> \u0905\u0938\u0924\u0924 \u0906\u0935\u0947\u0936\u094b\u0902 \u0915\u093e \u090f\u0915 \u0935\u093f\u0924\u0930\u0923 \u0939\u0948<\/strong><\/a> <span class=\"katex-eq\" data-katex-display=\"false\">q_1, q_2, \\cdots, q_n<\/span>, \u091c\u093f\u0928\u0915\u0940 \u0938\u094d\u0925\u093f\u0924\u093f\u092f\u093e\u0901 \u0939\u0948\u0902 <span class=\"katex-eq\" data-katex-display=\"false\">\\vec{r}^\\prime_1, \\vec{r}^\\prime_2, \\cdots, \\vec{r}^\\prime_n.<\/span> \u092f\u0926\u093f \u0939\u092e \u0915\u093f\u0938\u0940 \u092c\u093f\u0902\u0926\u0941 <span class=\"katex-eq\" data-katex-display=\"false\">\\vec{r}<\/span> \u092a\u0930 \u0909\u0928\u0915\u0947 \u0915\u094d\u0937\u0947\u0924\u094d\u0930 \u0915\u0940 \u0917\u0923\u0928\u093e \u0915\u0930\u0928\u093e \u091a\u093e\u0939\u0924\u0947 \u0939\u0948\u0902, \u0924\u094b \u0939\u094b\u0917\u093e:<\/p>\n<p style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle\\vec{E}_q(\\vec{r}) = \\frac{1}{4\\pi\\epsilon_0} \\sum_{i=1}^n q_i \\frac{\\vec{r} -\\vec{r}_i^\\prime}{\\|\\vec{r} -\\vec{r}_i^\\prime\\|^3} <\/span>\n<p>\u0905\u0930\u094d\u0925\u093e\u0924 \u0938\u092d\u0940 \u0935\u094d\u092f\u0915\u094d\u0924\u093f\u0917\u0924 \u0915\u094d\u0937\u0947\u0924\u094d\u0930\u094b\u0902 \u0915\u093e \u092f\u094b\u0917\u0964<\/p>\n<h3>\u0938\u0924\u0924 \u0935\u093f\u0924\u0930\u0923<\/h3>\n<p>\u0938\u0924\u0924 \u0906\u0935\u0947\u0936 \u0935\u093f\u0924\u0930\u0923 \u0924\u0940\u0928 \u092a\u094d\u0930\u0915\u093e\u0930 \u0915\u0947 \u0939\u094b\u0924\u0947 \u0939\u0948\u0902, \u092a\u094d\u0930\u0924\u094d\u092f\u0947\u0915 \u0909\u0938 \u0938\u094d\u0925\u093e\u0928\u093f\u0915 \u0935\u094d\u092f\u0935\u0938\u094d\u0925\u093e \u0915\u094b \u0935\u0930\u094d\u0923\u093f\u0924 \u0915\u0930\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f \u0906\u0935\u0936\u094d\u092f\u0915 \u092e\u093e\u092a\u0926\u0902\u0921\u094b\u0902 \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e \u0938\u0947 \u091c\u0941\u0921\u093c\u093e \u0939\u094b\u0924\u093e \u0939\u0948\u0964 \u092f\u0947 \u092a\u094d\u0930\u0915\u093e\u0930 \u0930\u0948\u0916\u093f\u0915 \u0935\u093f\u0924\u0930\u0923, \u0938\u0924\u0939\u0940 \u0935\u093f\u0924\u0930\u0923 \u0914\u0930 \u0906\u092f\u0924\u0928 \u0935\u093f\u0924\u0930\u0923 \u0939\u0948\u0902\u0964<\/p>\n<h4>\u0930\u0948\u0916\u093f\u0915 \u0935\u093f\u0924\u0930\u0923<\/h4>\n<p><a href=\"https:\/\/www.youtube.com\/watch?v=KWwRfJ9ZRrA&amp;t=688s\" target=\"_blank\" rel=\"noopener\"><strong>\u090f\u0915 \u0930\u0948\u0916\u093f\u0915 \u0906\u0935\u0947\u0936 \u0935\u093f\u0924\u0930\u0923 \u092e\u0947\u0902,<\/strong><\/a> \u0906\u0935\u0947\u0936\u093f\u0924 \u0935\u0938\u094d\u0924\u0941 \u0915\u0947 \u092a\u094d\u0930\u0924\u094d\u092f\u0947\u0915 \u0930\u0947\u0916\u093e \u0924\u0924\u094d\u0935 \u092e\u0947\u0902 \u0930\u0948\u0916\u093f\u0915 \u0906\u0935\u0947\u0936 \u0918\u0928\u0924\u094d\u0935 <span class=\"katex-eq\" data-katex-display=\"false\">\\lambda(\\vec{r}^\\prime)=dq(\\vec{r}^\\prime)\/dl<\/span> \u0939\u094b\u0924\u093e \u0939\u0948, \u091c\u093f\u0938\u0938\u0947 \u0935\u093f\u0926\u094d\u092f\u0941\u0924 \u0915\u094d\u0937\u0947\u0924\u094d\u0930 \u0915\u093e \u0938\u0942\u0915\u094d\u0937\u094d\u092e \u092d\u093e\u0917 \u0907\u0938 \u092a\u094d\u0930\u0915\u093e\u0930 \u0939\u094b\u0924\u093e \u0939\u0948:<\/p>\n<p style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">d\\vec{E}(\\vec{r}) =\\displaystyle \\frac{dq(\\vec{r}^\\prime)}{4\\pi\\epsilon_0} \\frac{\\vec{r} - \\vec{r}^\\prime}{\\|\\vec{r} - \\vec{r}^\\prime\\|^3} = \\frac{\\lambda(\\vec{r}^\\prime)}{4\\pi\\epsilon_0} \\frac{\\vec{r} - \\vec{r}^\\prime}{\\|\\vec{r} - \\vec{r}^\\prime\\|^3}dl<\/span>\n<p>\u0907\u0938 \u0905\u092d\u093f\u0935\u094d\u092f\u0915\u094d\u0924\u093f \u0915\u094b \u0938\u092e\u093e\u0915\u0932\u093f\u0924 \u0915\u0930\u0928\u0947 \u092a\u0930 \u0939\u092e\u0947\u0902 \u092e\u093f\u0932\u0924\u093e \u0939\u0948:<\/p>\n<p style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle \\vec{E}(\\vec{r}) = \\frac{1}{4\\pi\\epsilon_0} \\int_{\\mathcal{C}} \\lambda(\\vec{r}^\\prime) \\frac{\\vec{r} - \\vec{r}^\\prime}{\\|\\vec{r} - \\vec{r}^\\prime\\|^3}dl<\/span>\n<p>\u091c\u0939\u093e\u0901 <span class=\"katex-eq\" data-katex-display=\"false\">\\mathcal{C}<\/span> \u0909\u0938 \u0935\u0915\u094d\u0930 \u0915\u093e \u092a\u0948\u0930\u093e\u092e\u0940\u091f\u094d\u0930\u093f\u0915 \u0928\u093f\u0930\u0942\u092a\u0923 \u0939\u0948 \u091c\u094b \u0906\u0935\u0947\u0936\u093f\u0924 \u0935\u0938\u094d\u0924\u0941 \u0915\u0947 \u0906\u0915\u093e\u0930 \u0915\u093e \u0935\u0930\u094d\u0923\u0928 \u0915\u0930\u0924\u093e \u0939\u0948\u0964<\/p>\n<h4>\u0938\u0924\u0939\u0940 \u0935\u093f\u0924\u0930\u0923<\/h4>\n<p><a href=\"https:\/\/www.youtube.com\/watch?v=KWwRfJ9ZRrA&amp;t=899s\" target=\"_blank\" rel=\"noopener\"><strong>\u090f\u0915 \u0938\u0924\u0939\u0940 \u0906\u0935\u0947\u0936 \u0935\u093f\u0924\u0930\u0923 \u092e\u0947\u0902,<\/strong><\/a> \u0906\u0935\u0947\u0936\u093f\u0924 \u0935\u0938\u094d\u0924\u0941 \u0915\u0947 \u092a\u094d\u0930\u0924\u094d\u092f\u0947\u0915 \u0938\u0924\u0939 \u0924\u0924\u094d\u0935 \u092e\u0947\u0902 \u0938\u0924\u0939\u0940 \u0906\u0935\u0947\u0936 \u0918\u0928\u0924\u094d\u0935 <span class=\"katex-eq\" data-katex-display=\"false\">\\sigma(\\vec{r}^\\prime)=dq(\\vec{r}^\\prime)\/dS<\/span> \u0939\u094b\u0924\u093e \u0939\u0948, \u091c\u093f\u0938\u0938\u0947 \u0935\u093f\u0926\u094d\u092f\u0941\u0924 \u0915\u094d\u0937\u0947\u0924\u094d\u0930 \u0915\u093e \u0938\u0942\u0915\u094d\u0937\u094d\u092e \u092d\u093e\u0917 \u0907\u0938 \u092a\u094d\u0930\u0915\u093e\u0930 \u0939\u094b\u0924\u093e \u0939\u0948:<\/p>\n<p style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle d\\vec{E}(\\vec{r}) = \\frac{dq(\\vec{r}^\\prime)}{4\\pi\\epsilon_0} \\frac{\\vec{r} - \\vec{r}^\\prime}{\\|\\vec{r} - \\vec{r}^\\prime\\|^3} = \\frac{\\sigma(\\vec{r}^\\prime)}{4\\pi\\epsilon_0} \\frac{\\vec{r} - \\vec{r}^\\prime}{\\|\\vec{r} - \\vec{r}^\\prime\\|^3}dS<\/span>\n<p>\u0907\u0938 \u0905\u092d\u093f\u0935\u094d\u092f\u0915\u094d\u0924\u093f \u0915\u094b \u0938\u092e\u093e\u0915\u0932\u093f\u0924 \u0915\u0930\u0928\u0947 \u092a\u0930 \u0939\u092e\u0947\u0902 \u092e\u093f\u0932\u0924\u093e \u0939\u0948:<\/p>\n<p style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle \\vec{E}(\\vec{r}) = \\frac{1}{4\\pi\\epsilon_0} \\iint_{\\mathcal{A}} \\sigma(\\vec{r}^\\prime) \\frac{\\vec{r} - \\vec{r}^\\prime}{\\|\\vec{r} - \\vec{r}^\\prime\\|^3}dS<\/span>\n<p>\u091c\u0939\u093e\u0901 <span class=\"katex-eq\" data-katex-display=\"false\">\\mathcal{A}<\/span> \u0909\u0938 \u0938\u0924\u0939 \u0915\u093e \u092a\u0948\u0930\u093e\u092e\u0940\u091f\u094d\u0930\u093f\u0915 \u0928\u093f\u0930\u0942\u092a\u0923 \u0939\u0948 \u091c\u094b \u0906\u0935\u0947\u0936\u093f\u0924 \u0935\u0938\u094d\u0924\u0941 \u0915\u0947 \u0906\u0915\u093e\u0930 \u0915\u093e \u0935\u0930\u094d\u0923\u0928 \u0915\u0930\u0924\u093e \u0939\u0948\u0964<\/p>\n<h4>\u0906\u092f\u0924\u0928 \u0935\u093f\u0924\u0930\u0923<\/h4>\n<p><a href=\"https:\/\/www.youtube.com\/watch?v=KWwRfJ9ZRrA&amp;t=1054s\" target=\"_blank\" rel=\"noopener\"><strong>\u090f\u0915 \u0906\u092f\u0924\u0928 \u0906\u0935\u0947\u0936 \u0935\u093f\u0924\u0930\u0923 \u092e\u0947\u0902,<\/strong><\/a> \u0906\u0935\u0947\u0936\u093f\u0924 \u0935\u0938\u094d\u0924\u0941 \u0915\u0947 \u092a\u094d\u0930\u0924\u094d\u092f\u0947\u0915 \u0906\u092f\u0924\u0928 \u0924\u0924\u094d\u0935 \u092e\u0947\u0902 \u0906\u092f\u0924\u0928 \u0906\u0935\u0947\u0936 \u0918\u0928\u0924\u094d\u0935 <span class=\"katex-eq\" data-katex-display=\"false\">\\rho(\\vec{r}^\\prime)=dq(\\vec{r}^\\prime)\/dV<\/span> \u0939\u094b\u0924\u093e \u0939\u0948, \u091c\u093f\u0938\u0938\u0947 \u0935\u093f\u0926\u094d\u092f\u0941\u0924 \u0915\u094d\u0937\u0947\u0924\u094d\u0930 \u0915\u093e \u0938\u0942\u0915\u094d\u0937\u094d\u092e \u092d\u093e\u0917 \u0907\u0938 \u092a\u094d\u0930\u0915\u093e\u0930 \u0939\u094b\u0924\u093e \u0939\u0948:<\/p>\n<p style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle d\\vec{E}(\\vec{r}^\\prime) = \\frac{dq(\\vec{r}^\\prime)}{4\\pi\\epsilon_0} \\frac{\\vec{r} - \\vec{r}^\\prime}{\\|\\vec{r} - \\vec{r}^\\prime\\|^3} = \\frac{\\rho(\\vec{r}^\\prime)}{4\\pi\\epsilon_0} \\frac{\\vec{r} - \\vec{r}^\\prime}{\\|\\vec{r} - \\vec{r}^\\prime\\|^3}dV<\/span>\n<p>\u0907\u0938 \u0905\u092d\u093f\u0935\u094d\u092f\u0915\u094d\u0924\u093f \u0915\u094b \u0938\u092e\u093e\u0915\u0932\u093f\u0924 \u0915\u0930\u0928\u0947 \u092a\u0930 \u0939\u092e\u0947\u0902 \u092e\u093f\u0932\u0924\u093e \u0939\u0948:<\/p>\n<p style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle \\vec{E}(\\vec{r}) = \\frac{1}{4\\pi\\epsilon_0} \\iiint_{\\mathcal{V}} \\rho(\\vec{r}^\\prime) \\frac{\\vec{r} - \\vec{r}^\\prime}{\\|\\vec{r} - \\vec{r}^\\prime\\|^3}dV<\/span>\n<p>\u091c\u0939\u093e\u0901 <span class=\"katex-eq\" data-katex-display=\"false\">\\mathcal{V}<\/span> \u0909\u0938 \u0906\u092f\u0924\u0928 \u0915\u093e \u092a\u0948\u0930\u093e\u092e\u0940\u091f\u094d\u0930\u093f\u0915 \u0928\u093f\u0930\u0942\u092a\u0923 \u0939\u0948 \u091c\u094b \u0906\u0935\u0947\u0936\u093f\u0924 \u0935\u0938\u094d\u0924\u0941 \u0915\u0947 \u0906\u0915\u093e\u0930 \u0915\u093e \u0935\u0930\u094d\u0923\u0928 \u0915\u0930\u0924\u093e \u0939\u0948\u0964<\/p>\n<p><a name=\"3\"><\/a> <\/p>\n<h2>\u0905\u092d\u094d\u092f\u093e\u0938:<\/h2>\n<h3>\u0906\u0935\u0947\u0936\u093f\u0924 \u091b\u0921\u093c<\/h3>\n<p>\u090f\u0915 \u0932\u0902\u092c\u093e\u0908 <span class=\"katex-eq\" data-katex-display=\"false\">L<\/span> \u0915\u0940 \u091b\u0921\u093c \u092a\u0930 \u0935\u093f\u091a\u093e\u0930 \u0915\u0930\u0947\u0902, \u091c\u094b \u0938\u092e\u093e\u0928 \u0930\u0942\u092a \u0938\u0947 <span class=\"katex-eq\" data-katex-display=\"false\">Q<\/span> \u0906\u0935\u0947\u0936 \u0938\u0947 \u092d\u0930\u0940 \u0939\u094b \u0914\u0930 \u0907\u0938\u0947 \u0932\u0902\u092c\u0935\u0924 \u0930\u0916\u093e \u0917\u092f\u093e \u0939\u094b\u0964 \u091b\u0921\u093c \u0915\u0947 \u0915\u0947\u0902\u0926\u094d\u0930 \u0938\u0947 <span class=\"katex-eq\" data-katex-display=\"false\">x<\/span> \u0915\u094d\u0937\u0948\u0924\u093f\u091c \u0926\u0942\u0930\u0940 \u092a\u0930 \u0935\u093f\u0926\u094d\u092f\u0941\u0924 \u0915\u094d\u0937\u0947\u0924\u094d\u0930 \u0915\u093e \u0928\u093f\u0930\u094d\u0927\u093e\u0930\u0923 \u0915\u0930\u0947\u0902\u0964<\/p>\n<p><center><iframe class=\"lazyload\" width=\"560\" height=\"315\" data-src=\"https:\/\/www.youtube.com\/embed\/PEi3xjHDyxM\" title=\"YouTube \u0935\u0940\u0921\u093f\u092f\u094b \u092a\u094d\u0932\u0947\u092f\u0930\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture\" allowfullscreen><\/iframe><\/center><\/p>\n<h3>\u0906\u0935\u0947\u0936\u093f\u0924 \u0905\u0902\u0917\u0942\u0920\u0940<\/h3>\n<p>\u090f\u0915 <span class=\"katex-eq\" data-katex-display=\"false\">R<\/span> \u0924\u094d\u0930\u093f\u091c\u094d\u092f\u093e \u0915\u0940 \u0905\u0902\u0917\u0942\u0920\u0940 \u092a\u0930 \u0935\u093f\u091a\u093e\u0930 \u0915\u0930\u0947\u0902, \u091c\u094b \u0938\u092e\u093e\u0928 \u0930\u0942\u092a \u0938\u0947 <span class=\"katex-eq\" data-katex-display=\"false\">Q<\/span> \u0906\u0935\u0947\u0936 \u0938\u0947 \u092d\u0930\u0940 \u0939\u094b \u0914\u0930 xy \u0938\u092e\u0924\u0932 \u092a\u0930 \u0938\u094d\u0925\u093f\u0924 \u0939\u094b\u0964 \u0905\u0902\u0917\u0942\u0920\u0940 \u0915\u0947 \u0915\u0947\u0902\u0926\u094d\u0930 \u0938\u0947 <span class=\"katex-eq\" data-katex-display=\"false\">z<\/span> \u090a\u0902\u091a\u093e\u0908 \u092a\u0930 \u0935\u093f\u0926\u094d\u092f\u0941\u0924 \u0915\u094d\u0937\u0947\u0924\u094d\u0930 \u0915\u093e \u0928\u093f\u0930\u094d\u0927\u093e\u0930\u0923 \u0915\u0930\u0947\u0902\u0964<\/p>\n<p><center><iframe class=\"lazyload\" width=\"560\" height=\"315\" data-src=\"https:\/\/www.youtube.com\/embed\/kPVAhlzvgKA\" title=\"YouTube \u0935\u0940\u0921\u093f\u092f\u094b \u092a\u094d\u0932\u0947\u092f\u0930\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture\" allowfullscreen><\/iframe><\/center><\/p>\n<h3>\u0905\u0928\u0902\u0924 \u0906\u0935\u0947\u0936\u093f\u0924 \u0924\u0932<\/h3>\n<p>\u090f\u0915 \u0905\u0928\u0902\u0924 \u0906\u0935\u0947\u0936\u093f\u0924 \u0924\u0932 \u092a\u0930 \u0935\u093f\u091a\u093e\u0930 \u0915\u0930\u0947\u0902, \u091c\u094b \u0938\u0924\u0939 \u0906\u0935\u0947\u0936 \u0918\u0928\u0924\u094d\u0935 <span class=\"katex-eq\" data-katex-display=\"false\">\\sigma<\/span> \u0938\u0947 \u092d\u0930\u093e \u0939\u094b\u0964 \u0907\u0938 \u0924\u0932 \u0938\u0947 <span class=\"katex-eq\" data-katex-display=\"false\">L<\/span> \u0926\u0942\u0930\u0940 \u092a\u0930 \u0935\u093f\u0926\u094d\u092f\u0941\u0924 \u0915\u094d\u0937\u0947\u0924\u094d\u0930 \u0915\u093e \u0928\u093f\u0930\u094d\u0927\u093e\u0930\u0923 \u0915\u0930\u0947\u0902\u0964<\/p>\n<p><center><iframe class=\"lazyload\" width=\"560\" height=\"315\" data-src=\"https:\/\/www.youtube.com\/embed\/IQeDWxVT7eM\" title=\"YouTube \u0935\u0940\u0921\u093f\u092f\u094b \u092a\u094d\u0932\u0947\u092f\u0930\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture\" allowfullscreen><\/iframe><\/center><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u0935\u093f\u0926\u094d\u092f\u0941\u0924 \u0915\u094d\u0937\u0947\u0924\u094d\u0930 \u0915\u0940 \u0905\u0935\u0927\u093e\u0930\u0923\u093e 19\u0935\u0940\u0902 \u0936\u0924\u093e\u092c\u094d\u0926\u0940 \u092e\u0947\u0902, \u092e\u093e\u0907\u0915\u0932 \u092b\u0948\u0930\u093e\u0921\u0947, \u091c\u094b \u092c\u093f\u091c\u0932\u0940 \u0915\u0947 \u0915\u094d\u0937\u0947\u0924\u094d\u0930 \u092e\u0947\u0902 \u0938\u092c\u0938\u0947 \u092e\u0939\u093e\u0928 \u092a\u094d\u0930\u092f\u094b\u0917\u0915\u0930\u094d\u0924\u093e\u0913\u0902 \u092e\u0947\u0902 \u0938\u0947 \u090f\u0915 \u0925\u0947, \u0915\u093e\u092e \u0915\u0930\u0928\u0947 \u0915\u093e \u090f\u0915 \u0905\u0928\u0942\u0920\u093e \u0924\u0930\u0940\u0915\u093e \u0905\u092a\u0928\u093e\u0924\u0947 \u0925\u0947\u0964 \u0935\u0939 \u0905\u092a\u0928\u0947 \u092a\u094d\u0930\u092f\u094b\u0917\u0936\u093e\u0932\u093e \u0915\u094b \u0924\u093e\u0930\u094b\u0902, \u0906\u0935\u0947\u0936\u093f\u0924 \u0917\u094b\u0932\u0947 \u0914\u0930 \u092a\u094d\u0930\u0935\u093e\u0939\u0915\u0940\u092f \u0924\u0930\u0932 \u092a\u0926\u093e\u0930\u094d\u0925\u094b\u0902 \u0938\u0947 \u092d\u0930\u0947 \u091b\u094b\u091f\u0947 \u092c\u0930\u094d\u0924\u0928\u094b\u0902 \u0938\u0947 \u092d\u0930 \u0926\u0947\u0924\u0947 \u0925\u0947\u0964 \u090f\u0915 \u092a\u094d\u0930\u0938\u093f\u0926\u094d\u0927 \u0915\u0939\u093e\u0928\u0940 \u092c\u0924\u093e\u0924\u0940 \u0939\u0948 \u0915\u093f \u0935\u093f\u0926\u094d\u092f\u0941\u0924 [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":30980,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"iawp_total_views":2,"footnotes":""},"categories":[643,718],"tags":[],"class_list":["post-30990","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-643","category-718"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.4 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>\u0935\u093f\u0926\u094d\u092f\u0941\u0924 \u0915\u094d\u0937\u0947\u0924\u094d\u0930 \u0915\u0940 \u0905\u0935\u0927\u093e\u0930\u0923\u093e - 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