{"id":2632,"date":"2022-03-24T11:30:36","date_gmt":"2022-03-24T11:30:36","guid":{"rendered":"https:\/\/stage-wp.10minuteschool.com\/?p=2632"},"modified":"2022-03-24T05:58:18","modified_gmt":"2022-03-24T05:58:18","slug":"surface-charge-density","status":"publish","type":"post","link":"https:\/\/10minuteschool.com\/content\/surface-charge-density\/","title":{"rendered":"\u0986\u09a7\u09be\u09a8 \u0998\u09a8\u09a4\u09cd\u09ac \u09ac\u09be \u0986\u09a7\u09be\u09a8\u09c7\u09b0 \u09a4\u09b2\u09ae\u09be\u09a4\u09cd\u09b0\u09bf\u0995 \u0998\u09a8\u09a4\u09cd\u09ac (Charge density or surface charge density)"},"content":{"rendered":"

\u09b8\u0982\u099c\u09cd\u099e\u09be (Defination)<\/b><\/h2>\n

\u09aa\u09b0\u09bf\u09ac\u09be\u09b9\u09c0\u09b0 \u09aa\u09c3\u09b7\u09cd\u09a0\u09c7\u09b0 \u0995\u09cb\u09a8\u09c7\u09be \u09ac\u09bf\u09a8\u09cd\u09a6\u09c1\u09b0 \u099a\u09be\u09b0\u09a6\u09bf\u0995\u09c7 \u09aa\u09cd\u09b0\u09a4\u09bf \u098f\u0995\u0995 \u0995\u09cd\u09b7\u09c7\u09a4\u09cd\u09b0\u09ab\u09b2\u09c7\u09b0 \u0989\u09aa\u09b0\u09bf\u09b8\u09cd\u09a5\u09bf\u09a4 \u099a\u09be\u09b0\u09cd\u099c\u09c7\u09b0 \u09ac\u09be \u0986\u09a7\u09be\u09a8\u09c7\u09b0 \u09aa\u09b0\u09bf\u09ae\u09be\u09a3\u0995\u09c7 \u0993\u0987 \u09ac\u09bf\u09a8\u09cd\u09a6\u09c1\u09b0 \u0986\u09a7\u09be\u09a8 \u0998\u09a8\u09a4\u09cd\u09ac \u09ac\u09b2\u09c7\u0964<\/strong> \u098f\u0995\u09c7 \u09a4\u09b2\u09ae\u09be\u09a4\u09cd\u09b0\u09bf\u0995 \u0998\u09a8\u09a4\u09cd\u09ac\u0993 \u09ac\u09b2\u09c7\u0964 <\/span>\u0995\u09cb\u09a8\u09cb \u09a4\u09b2\u09c7\u09b0 \u0995\u09cd\u09b7\u09c7\u09a4\u09cd\u09b0\u09ab\u09b2 <\/span>A<\/span><\/span> \u098f\u09ac\u0982 \u0993\u0987 \u09a4\u09b2\u09c7 \u099a\u09be\u09b0\u09cd\u099c\u09c7\u09b0 \u09ae\u09cb\u099f \u09aa\u09b0\u09bf\u09ae\u09be\u09a3 <\/span>Q<\/span><\/span> \u09b9\u09b2\u09c7 \u0986\u09a7\u09be\u09a8 \u0998\u09a8\u09a4\u09cd\u09ac, \\sigma=\\frac{Q}{A}<\/span><\/span>\u0964<\/span><\/p>\n

\u098f\u0995\u0995 : \u0986\u09a7\u09be\u09a8 \u0998\u09a8\u09a4\u09cd\u09ac\u09c7\u09b0 \u098f\u0995\u0995 \u0995\u09c1\u09b2\u09ae\u09cd\u09ac\/<\/span>\u09ae\u09bf\u099f\u09be<\/span>\u09b0^{2}\\left(\\mathrm{Cm}^{-2}\\right)<\/span><\/span>\u0964<\/span><\/p>\n

\u09ac\u09bf\u09a8\u09cd\u09a6\u09c1 \u0986\u09a7\u09be\u09a8\u09c7\u09b0 \u099c\u09a8\u09cd\u09af \u09a4\u09a1\u09bc\u09bf\u09ce \u0995\u09cd\u09b7\u09c7\u09a4\u09cd\u09b0\u09c7\u09b0 \u0995\u09cb\u09a8\u09cb \u09ac\u09bf\u09a8\u09cd\u09a6\u09c1\u09a4\u09c7 \u09a4\u09a1\u09bc\u09bf\u09ce \u09aa\u09cd\u09b0\u09be\u09ac\u09b2\u09cd\u09af\u09c7\u09b0 \u09b0\u09be\u09b6\u09bf\u09ae\u09be\u09b2\u09be (Expression for the electric field intensity at a point in an electric field due to a point charge)<\/strong><\/h2>\n

\u09ae\u09a8\u09c7 \u0995\u09b0\u09bf \u0995\u09cb\u09a8\u09cb \u09ae\u09be\u09a7\u09cd\u09af\u09ae\u09c7 \u098f\u0995\u099f\u09bf \u09a7\u09a8\u09be\u09a4\u09cd\u09ae\u0995 \u0986\u09a7\u09be\u09a8 <\/span>+q<\/span><\/span> \u09b0\u09af\u09bc\u09c7\u099b\u09c7\u0964 \u0993\u0987 \u0986\u09a7\u09be\u09a8 \u09b9\u09a4\u09c7 <\/span>r<\/span><\/span> \u09a6\u09c2\u09b0\u09a4\u09cd\u09ac\u09c7 \u0985\u09ac\u09b8\u09cd\u09a5\u09bf\u09a4 <\/span>P<\/span><\/span> \u09ac\u09bf\u09a8\u09cd\u09a6\u09c1\u09a4\u09c7 \u09a4\u09a1\u09bc\u09bf\u09ce \u09aa\u09cd\u09b0\u09be\u09ac\u09b2\u09cd\u09af \u09a8\u09bf\u09b0\u09cd\u09a3\u09af\u09bc \u0995\u09b0\u09a4\u09c7 \u09b9\u09ac\u09c7\u0964<\/span><\/p>\n

Image [\u099a\u09bf\u09a4\u09cd\u09b0 : \u09e8.\u09ed]<\/strong><\/p>\n

\u09a7\u09b0\u09be \u09af\u09be\u0995 <\/span>P<\/span><\/span> \u09ac\u09bf\u09a8\u09cd\u09a6\u09c1\u09a4\u09c7 \u098f\u0995\u099f\u09bf \u09aa\u09b0\u0996 \u099a\u09be\u09b0\u09cd\u099c q_{0}<\/span><\/span> \u09b8\u09cd\u09a5\u09be\u09aa\u09a8 \u0995\u09b0\u09be \u09b9\u09af\u09bc\u09c7\u099b\u09c7 [\u099a\u09bf\u09a4\u09cd\u09b0 \u09e8.\u09ed]\u0964 \u098f\u0996\u09a8, q_{0}<\/span><\/span>\u00a0\u09aa\u09b0\u0996 \u099a\u09be\u09b0\u09cd\u099c\u09c7\u09b0 \u0993\u09aa\u09b0 \u0995\u09cd\u09b0\u09bf\u09af\u09bc\u09be\u09b6\u09c0\u09b2 \u09ac\u09b2,\u00a0<\/span><\/p>\n

\\vec{F}=\\frac{1}{4 \\pi \\epsilon_{o} K} \\frac{q q_{0}}{r^{2}} \\hat{n} \\ldots<\/span>\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0(2.12)<\/span><\/p>\n

\u098f\u0996\u09be\u09a8\u09c7 <\/span>k<\/span><\/span> \u09b9\u09b2\u09cb \u0993\u0987 \u09ae\u09be\u09a7\u09cd\u09af\u09ae\u09c7\u09b0 \u09aa\u09b0\u09be\u09ac\u09c8\u09a6\u09cd\u09af\u09c1\u09a4\u09bf\u0995 \u09a7\u09cd\u09b0\u09c1\u09ac\u0995 \u098f\u09ac\u0982 <\/span>n<\/span><\/span> \u09b9\u09b2\u09cb <\/span>\\vec{F}<\/span><\/span>\u00a0<\/span>\u09ac\u09b0\u09be\u09ac\u09b0 \u098f\u0995\u0995 \u09ad\u09c7\u0995\u09cd\u099f\u09b0\u0964 \u098f\u0996\u09a8, \u09a4\u09a1\u09bc\u09bf\u09ce \u09aa\u09cd\u09b0\u09be\u09ac\u09b2\u09cd\u09af\u09c7\u09b0 \u09b8\u0982\u099c\u09cd\u099e\u09be \u09b9\u09a4\u09c7 \u0986\u09ae\u09b0\u09be \u099c\u09be\u09a8\u09bf, \u09a4\u09a1\u09bc\u09bf\u09ce \u09aa\u09cd\u09b0\u09be\u09ac\u09b2\u09cd\u09af \u09b9\u099a\u09cd\u099b\u09c7 \u098f\u0995\u0995 \u09a7\u09a8\u09be\u09a4\u09cd\u09ae\u0995 \u099a\u09be\u09b0\u09cd\u099c\u09c7\u09b0 \u0989\u09aa\u09b0 \u0995\u09cd\u09b0\u09bf\u09af\u09bc\u09be\u09b6\u09c0\u09b2 \u09ac\u09b2\u0964<\/span><\/p>\n

\u0985\u09b0\u09cd\u09a5\u09be\u09ce, \\vec{E}=\\frac{\\vec{F}}{q_{0}}<\/span><\/span>\u00a0 \u00a0 \u00a0 \u00a0(2.13)\u00a0\u00a0<\/span><\/p>\n

\u09b8\u09ae\u09c0\u0995\u09b0\u09a3 (2.12) \u09ac\u09cd\u09af\u09ac\u09b9\u09be\u09b0 \u0995\u09b0\u09c7 \u0986\u09ae\u09b0\u09be \u09aa\u09be\u0987,<\/span><\/p>\n

\\vec{E}=\\frac{1}{4 \\pi \\epsilon_{o} K} \\frac{q q_{o}}{r^{2}} \\hat{n} \\frac{1}{q_{o}}<\/span>\u00a0<\/span><\/p>\n

\u00a0 \u00a0=\\frac{1}{4 \\pi \\epsilon_{o} K} \\frac{q}{r^{2}} \\hat{n}<\/span><\/span>\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u2026\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u2026 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 (2.14)<\/span><\/p>\n

\u00a0\u00a0\u09a4\u09dc\u09bf\u09ce \u09aa\u09cd\u09b0\u09be\u09ac\u09b2\u09cd\u09af\u09c7\u09b0 \u09ae\u09be\u09a8 \u09b9\u09ac\u09c7, <\/span>E=\\frac{1}{4 \\pi \\epsilon_{o} K} \\frac{q}{r^{2}} \\quad \\ldots \\quad \\ldots \\quad \\ldots \\quad<\/span> <\/span>(2.15)<\/span><\/p>\n

\u09ac\u09be\u09df\u09c1 \u09ac\u09be \u09b6\u09c2\u09a8\u09cd\u09af \u09ae\u09be\u09a7\u09cd\u09af\u09ae\u09c7 <\/span>k=1<\/span><\/span> \u0964\u09b8\u09c1\u09a4\u09b0\u09be\u0982 \u09b6\u09c2\u09a8\u09cd\u09af \u09ac\u09be \u09ac\u09be\u09df\u09c1 \u09ae\u09be\u09a7\u09cd\u09af\u09ae\u09c7 <\/span>+q<\/span><\/span> \u09a7\u09a8\u09be\u09a4\u09cd\u09ae\u0995 \u099a\u09be\u09b0\u09cd\u099c \u09b8\u09cd\u09a5\u09be\u09aa\u09a8 \u0995\u09b0\u09b2\u09c7, <\/span>r<\/span><\/span> \u09a6\u09c2\u09b0\u09a4\u09cd\u09ac\u09c7 \u09a4\u09dc\u09bf\u09ce \u09aa\u09cd\u09b0\u09be\u09ac\u09b2\u09cd\u09af \u09b9\u09ac\u09c7,<\/span><\/p>\n

\\vec{E}=\\frac{1}{4 \\pi \\epsilon_{o}} \\frac{q}{r^{2}} \\hat{n} \\quad \\ldots \\quad \\ldots \\quad \\ldots<\/span> (2.16)<\/span><\/p>\n

\u09a4\u09dc\u09bf\u09ce \u09aa\u09cd\u09b0\u09be\u09ac\u09b2\u09cd\u09af\u09c7\u09b0 \u09ae\u09be\u09a8 \u09b9\u09ac\u09c7, \\mathrm{E}=\\frac{1}{4 \\pi \\epsilon_{o}} \\frac{q}{r^{2}} \\quad \\ldots \\quad \\ldots \\quad<\/span> <\/span>(2.17)<\/span><\/p>\n

\u09ac\u09bf.\u09a6\u09cd\u09b0.<\/b> \u09aa\u09b0\u0996 \u099a\u09be\u09b0\u09cd\u099c\u09c7\u09b0 \u0986\u09b6\u09c7\u09aa\u09be\u09b6\u09c7 \u098f\u0995 \u09ac\u09be \u098f\u0995\u09be\u09a7\u09bf\u0995 \u099a\u09be\u09b0\u09cd\u099c\u0987 \u09b9\u09b2\u09cb \u09a4\u09a1\u09bc\u09bf\u09ce \u0995\u09cd\u09b7\u09c7\u09a4\u09cd\u09b0\u09c7\u09b0 \u0989\u09ce\u09b8\u0964 \u09ae\u09a8\u09c7 \u09b0\u09be\u0996\u09be \u09a6\u09b0\u0995\u09be\u09b0 \u09af\u09c7 \u09b8\u09ae\u09c0\u0995\u09b0\u09a3 (2.14) -\u098f \u09aa\u09b0\u0996 \u099a\u09be\u09b0\u09cd\u099c\u09c7\u09b0 \u0986\u09b6\u09c7\u09aa\u09be\u09b6\u09c7\u09b0 \u099a\u09be\u09b0\u09cd\u099c\u09c7\u09b0 \u099c\u09a8\u09cd\u09af \u09b8\u09c3\u09b7\u09cd\u099f \u09a4\u09a1\u09bc\u09bf\u09ce \u0995\u09cd\u09b7\u09c7\u09a4\u09cd\u09b0 \u09ac\u09c1\u099d\u09be\u09af\u09bc, \u09aa\u09b0\u0996 \u099a\u09be\u09b0\u09cd\u099c\u09c7\u09b0 \u099c\u09a8\u09cd\u09af \u09a8\u09af\u09bc\u0964 \u09aa\u09b0\u0996 \u099a\u09be\u09b0\u09cd\u099c \u098f\u09a4 \u0995\u09cd\u09b7\u09c1\u09a6\u09cd\u09b0 \u09af\u09c7 \u098f\u09b0 \u0989\u09aa\u09b8\u09cd\u09a5\u09bf\u09a4\u09bf \u0993\u0987 \u09a4\u09a1\u09bc\u09bf\u09ce \u0995\u09cd\u09b7\u09c7\u09a4\u09cd\u09b0\u0995\u09c7 \u09aa\u09cd\u09b0\u09ad\u09be\u09ac\u09bf\u09a4 \u09ac\u09be \u09ac\u09bf\u0995\u09c3\u09a4 \u0995\u09b0\u09c7 \u09a8\u09be\u0964<\/span><\/p>\n

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