{"id":2835,"date":"2022-03-24T17:07:46","date_gmt":"2022-03-24T17:07:46","guid":{"rendered":"https:\/\/stage-wp.10minuteschool.com\/?p=2835"},"modified":"2023-06-22T16:44:15","modified_gmt":"2023-06-22T10:44:15","slug":"joules-law-for-the-generation-of-heat","status":"publish","type":"post","link":"https:\/\/10minuteschool.com\/content\/joules-law-for-the-generation-of-heat\/","title":{"rendered":"\u099c\u09c1\u09b2\u09c7\u09b0 \u09a4\u09be\u09aa\u09c0\u09af\u09bc \u0995\u09cd\u09b0\u09bf\u09af\u09bc\u09be\u09b0 \u09b8\u09c2\u09a4\u09cd\u09b0 (Joule’s law for the generation of heat)"},"content":{"rendered":"

1841 \u0996\u09cd\u09b0\u09bf\u09b8\u09cd\u099f\u09be\u09ac\u09cd\u09a6\u09c7 \u09ac\u09bf\u0996\u09cd\u09af\u09be\u09a4 \u0987\u0982\u09b0\u09c7\u099c \u09ac\u09bf\u099c\u09cd\u099e\u09be\u09a8\u09c0 \u099c\u09c7. \u09aa\u09bf. \u099c\u09c1\u09b2 (J. P. Joule)<\/strong> \u09aa\u09b0\u09bf\u09ac\u09be\u09b9\u09c0\u09b0 \u09ad\u09c7\u09a4\u09b0 \u09a6\u09bf\u09af\u09bc\u09c7 \u09ac\u09bf\u09a6\u09cd\u09af\u09c1\u09ce \u09aa\u09cd\u09b0\u09ac\u09be\u09b9 \u0993 \u098f\u09b0 \u09ab\u09b2\u09c7 \u0989\u09ce\u09aa\u09a8\u09cd\u09a8 \u09a4\u09be\u09aa\u09c7\u09b0 \u09aa\u09b0\u09c0\u0995\u09cd\u09b7\u09be\u09b2\u09ac\u09cd\u09a7 \u09ab\u09b2\u09be\u09ab\u09b2 \u09b9\u09a4\u09c7 \u09a4\u09bf\u09a8\u099f\u09bf \u09b8\u09c2\u09a4\u09cd\u09b0<\/strong> \u09ac\u09bf\u09ac\u09c3\u09a4 \u0995\u09b0\u09c7\u09a8\u0964 \u099c\u09c1\u09b2\u09c7\u09b0 \u09a8\u09be\u09ae\u09be\u09a8\u09c1\u09b8\u09be\u09b0\u09c7 \u098f\u09a6\u09c7\u09b0\u0995\u09c7 \u09a4\u09be\u09aa \u0989\u09ce\u09aa\u09be\u09a6\u09a8\u09c7\u09b0 \u0995\u09cd\u09b7\u09c7\u09a4\u09cd\u09b0\u09c7 \u099c\u09c1\u09b2\u09c7\u09b0 \u09b8\u09c2\u09a4\u09cd\u09b0 (Joule’s law for the generation of heat)<\/strong> \u09ac\u09b2\u09be \u09b9\u09af\u09bc\u0964<\/span><\/p>\n

\u09b8\u09c2\u09a4\u09cd\u09b0\u0997\u09c1\u09b2\u09cb \u09a8\u09bf\u09ae\u09cd\u09a8\u09c7 \u09ac\u09bf\u09ac\u09c3\u09a4 \u09b9\u09b2\u09cb :\u00a0<\/span><\/p>\n

 <\/p>\n

\u09e7. \u09ac\u09bf\u09a6\u09cd\u09af\u09c1\u09ce \u09aa\u09cd\u09b0\u09ac\u09be\u09b9\u09ae\u09be\u09a4\u09cd\u09b0\u09be\u09b0 \u09b8\u09c2\u09a4\u09cd\u09b0 (\u09aa\u09cd\u09b0\u09a5\u09ae \u09b8\u09c2\u09a4\u09cd\u09b0) (<\/b>Formula of current flow (First Law))<\/b>:<\/b><\/h2>\n

\u09ac\u09bf\u09a6\u09cd\u09af\u09c1\u09ce\u09ac\u09be\u09b9\u09c0 \u09aa\u09b0\u09bf\u09ac\u09be\u09b9\u09c0\u09b0 \u09b0\u09cb\u09a7 <\/span>R<\/span> \u0993 \u09ac\u09bf\u09a6\u09cd\u09af\u09c1\u09ce \u09aa\u09cd\u09b0\u09ac\u09be\u09b9\u0995\u09be\u09b2 <\/span>t<\/span> \u0985\u09aa\u09b0\u09bf\u09ac\u09b0\u09cd\u09a4\u09bf\u09a4 \u09a5\u09be\u0995\u09b2\u09c7 \u09aa\u09b0\u09bf\u09ac\u09be\u09b9\u09c0\u09a4\u09c7 \u09ac\u09bf\u09a6\u09cd\u09af\u09c1\u09ce \u09aa\u09cd\u09b0\u09ac\u09be\u09b9\u09c7\u09b0 \u09a6\u09b0\u09c1\u09a8 \u0989\u09a6\u09cd\u09ad\u09c2\u09a4 \u09a4\u09be\u09aa \u09ac\u09bf\u09a6\u09cd\u09af\u09c1\u09ce \u09aa\u09cd\u09b0\u09ac\u09be\u09b9\u09ae\u09be\u09a4\u09cd\u09b0\u09be\u09b0 \u09ac\u09b0\u09cd\u0997\u09c7\u09b0 \u09b8\u09ae\u09be\u09a8\u09c1\u09aa\u09be\u09a4\u09bf\u0995<\/strong>\u0964\u00a0<\/span><\/p>\n

\u0985\u09b0\u09cd\u09a5\u09be\u09ce \\mathrm{H} \\propto i^{2}<\/span><\/span>\u00a0<\/span>\u09af\u09a6\u09bf <\/span>\\mathrm{R}<\/span><\/span> \u098f\u09ac\u0982 <\/span>\\mathrm{t}<\/span><\/span> \u09b8\u09cd\u09a5\u09bf\u09b0 \u09a5\u09be\u0995\u09c7 \u0964<\/span><\/p>\n

\u09aa\u09cd\u09b0\u09a5\u09ae \u09b8\u09c2\u09a4\u09cd\u09b0\u099f\u09bf\u09b0 (First Law) \u0985\u09b0\u09cd\u09a5\u2014\u09aa\u09b0\u09bf\u09ac\u09be\u09b9\u09c0\u09a4\u09c7 \u09aa\u09cd\u09b0\u09ac\u09be\u09b9\u09ae\u09be\u09a4\u09cd\u09b0\u09be \u09a6\u09cd\u09ac\u09bf\u0997\u09c1\u09a3 \u0995\u09b0\u09b2\u09c7 \u0989\u09a6\u09cd\u09ad\u09c2\u09a4 \u09a4\u09be\u09aa \u09aa\u09cd\u09b0\u09be\u09a5\u09ae\u09bf\u0995 \u09a4\u09be\u09aa\u09c7\u09b0 \u099a\u09be\u09b0\u0997\u09c1\u09a3 \u09b9\u09ac\u09c7\u0964 \u09aa\u09cd\u09b0\u09ac\u09be\u09b9\u09ae\u09be\u09a4\u09cd\u09b0\u09be \u0985\u09b0\u09cd\u09a7\u09c7\u0995 \u0995\u09b0\u09b2\u09c7 \u0989\u09a6\u09cd\u09ad\u09c2\u09a4 \u09a4\u09be\u09aa \u09aa\u09cd\u09b0\u09be\u09a5\u09ae\u09bf\u0995 \u09a4\u09be\u09aa\u09c7\u09b0 \u098f\u0995-\u099a\u09a4\u09c1\u09b0\u09cd\u09a5\u09be\u0982\u09b6 \u09b9\u09ac\u09c7\u0964<\/span><\/p>\n

\u0995\u09cb\u09a8\u09cb \u09aa\u09b0\u09bf\u09ac\u09be\u09b9\u09c0\u09b0 \u09ad\u09c7\u09a4\u09b0 \u09a6\u09bf\u09af\u09bc\u09c7 \u098f\u0995\u0987 \u09b8\u09ae\u09af\u09bc\u09c7 i_{1}, i_{2}, i_{3},<\/span><\/span> …… \u09ac\u09bf\u09a6\u09cd\u09af\u09c1\u09ce \u099a\u09be\u09b2\u09a8\u09be \u0995\u09b0\u09b2\u09c7 \u09aa\u09b0\u09bf\u09ac\u09be\u09b9\u09c0\u09a4\u09c7 \u09af\u09a6\u09bf \u0989\u09ce\u09aa\u09a8\u09cd\u09a8 \u09a4\u09be\u09aa \u09af\u09a5\u09be\u0995\u09cd\u09b0\u09ae\u09c7 \\mathrm{H}_{1}, \\mathrm{H}_{2}, \\mathrm{H}_{3},<\/span> <\/span>…… \u09b9\u09af\u09bc, \u09a4\u09ac\u09c7 \u098f \u09b8\u09c2\u09a4\u09cd\u09b0 \u0985\u09a8\u09c1\u09b8\u09be\u09b0\u09c7<\/span><\/p>\n

\\frac{\\mathrm{H}_{1}}{{i_{1}^{2}}}=\\frac{\\mathrm{H}_{2}}{{i_{2}}^{2}}=\\frac{\\mathrm{H}_{3}}{i_{3}{ }^{2}}=<\/span> \u09a7\u09cd\u09b0\u09c1\u09ac\u0995<\/strong><\/p>\n

 <\/p>\n

\u09e8. \u09b0\u09cb\u09a7\u09c7\u09b0 \u09b8\u09c2\u09a4\u09cd\u09b0 (\u09a6\u09cd\u09ac\u09bf\u09a4\u09c0\u09af\u09bc \u09b8\u09c2\u09a4\u09cd\u09b0) <\/b>(Resistance formula (Second Law)):<\/b><\/h2>\n

\u09ac\u09bf\u09a6\u09cd\u09af\u09c1\u09ce \u09aa\u09cd\u09b0\u09ac\u09be\u09b9\u09ae\u09be\u09a4\u09cd\u09b0\u09be \u098f\u09ac\u0982 \u09ac\u09bf\u09a6\u09cd\u09af\u09c1\u09ce \u09aa\u09cd\u09b0\u09ac\u09be\u09b9\u0995\u09be\u09b2 \u0985\u09aa\u09b0\u09bf\u09ac\u09b0\u09cd\u09a4\u09bf\u09a4 \u09a5\u09be\u0995\u09b2\u09c7 \u09aa\u09b0\u09bf\u09ac\u09be\u09b9\u09c0\u09a4\u09c7 \u09ac\u09bf\u09a6\u09cd\u09af\u09c1\u09ce \u09aa\u09cd\u09b0\u09ac\u09be\u09b9\u09c7\u09b0 \u09a6\u09b0\u09c1\u09a8 \u0989\u09a6\u09cd\u09ad\u09c2\u09a4 \u09a4\u09be\u09aa \u09aa\u09b0\u09bf\u09ac\u09be\u09b9\u09c0\u09b0 \u09b0\u09cb\u09a7\u09c7\u09b0 \u09b8\u09ae\u09be\u09a8\u09c1\u09aa\u09be\u09a4\u09bf\u0995<\/strong>\u0964<\/span><\/p>\n

\u0985\u09b0\u09cd\u09a5\u09be\u09ce H \\propto R<\/span><\/span> \u09af\u09a6\u09bf i<\/span> \u098f\u09ac\u0982 t<\/span> \u09b8\u09cd\u09a5\u09bf\u09b0 \u09a5\u09be\u0995\u09c7\u0964<\/span><\/p>\n

\u09a6\u09cd\u09ac\u09bf\u09a4\u09c0\u09af\u09bc \u09b8\u09c2\u09a4\u09cd\u09b0\u099f\u09bf\u09b0 (Second Law) \u0985\u09b0\u09cd\u09a5\u2014\u09aa\u09b0\u09bf\u09ac\u09be\u09b9\u09c0\u09b0 \u09b0\u09cb\u09a7 \u09a6\u09cd\u09ac\u09bf\u0997\u09c1\u09a3 \u09ac\u09be \u0985\u09b0\u09cd\u09a7\u09c7\u0995 \u09b9\u09b2\u09c7 \u0989\u09a6\u09cd\u09ad\u09c2\u09a4 \u09a4\u09be\u09aa \u09af\u09a5\u09be\u0995\u09cd\u09b0\u09ae\u09c7 \u09aa\u09cd\u09b0\u09be\u09a5\u09ae\u09bf\u0995 \u09a4\u09be\u09aa\u09c7\u09b0 \u09a6\u09cd\u09ac\u09bf\u0997\u09c1\u09a3 \u09ac\u09be \u0985\u09b0\u09cd\u09a7\u09c7\u0995 \u09b9\u09ac\u09c7\u0964<\/span><\/p>\n

\u0995\u09be\u099c\u09c7\u0987 \u09ac\u09bf\u09a6\u09cd\u09af\u09c1\u09ce \u09aa\u09cd\u09b0\u09ac\u09be\u09b9\u09c7\u09b0 \u099c\u09a8\u09cd\u09af \u09b6\u09cd\u09b0\u09c7\u09a3\u09bf\u09a4\u09c7 \u09af\u09c1\u0995\u09cd\u09a4 \\mathrm{R}_{1}, \\mathrm{R}_{2}, \\mathrm{R}_{3},<\/span><\/span> …… \u09b0\u09cb\u09a7\u09c7 \\mathrm{t}<\/span> \u09b8\u09ae\u09af\u09bc\u09c7 \u0989\u09a6\u09cd\u09ad\u09c2\u09a4 \u09a4\u09be\u09aa \u09af\u09a5\u09be\u0995\u09cd\u09b0\u09ae\u09c7 \\mathrm{H}_{1}, \\mathrm{H}_{2}, \\mathrm{H}_{3},<\/span> <\/span>…… \u09b9\u09b2\u09c7, <\/span>\\frac{\\mathrm{H}_{1}}{\\mathrm{R}_{1}}=\\frac{\\mathrm{H}_{2}}{\\mathrm{R}_{2}}=\\frac{\\mathrm{H}_{3}}{\\mathrm{R}_{3}}=<\/span> \u09a7\u09cd\u09b0\u09c1\u09ac\u0995<\/strong><\/p>\n

 <\/p>\n

\u09e9. \u09b8\u09ae\u09af\u09bc\u09c7\u09b0 \u09b8\u09c2\u09a4\u09cd\u09b0 (\u09a4\u09c3\u09a4\u09c0\u09af\u09bc \u09b8\u09c2\u09a4\u09cd\u09b0) <\/b>(Time formula (Third Law)):<\/b><\/h2>\n

\u09ac\u09bf\u09a6\u09cd\u09af\u09c1\u09ce\u09ac\u09be\u09b9\u09c0 \u09aa\u09b0\u09bf\u09ac\u09be\u09b9\u09c0\u09b0 \u09b0\u09cb\u09a7 \u098f\u09ac\u0982 \u09ac\u09bf\u09a6\u09cd\u09af\u09c1\u09ce \u09aa\u09cd\u09b0\u09ac\u09be\u09b9\u09ae\u09be\u09a4\u09cd\u09b0\u09be \u0985\u09aa\u09b0\u09bf\u09ac\u09b0\u09cd\u09a4\u09bf\u09a4 \u09a5\u09be\u0995\u09b2\u09c7 \u09aa\u09b0\u09bf\u09ac\u09be\u09b9\u09c0\u09a4\u09c7 \u09ac\u09bf\u09a6\u09cd\u09af\u09c1\u09ce \u09aa\u09cd\u09b0\u09ac\u09be\u09b9\u09c7\u09b0 \u09a6\u09b0\u09c1\u09a8 \u0989\u09a6\u09cd\u09ad\u09c2\u09a4 \u09a4\u09be\u09aa \u09ac\u09bf\u09a6\u09cd\u09af\u09c1\u09ce \u09aa\u09cd\u09b0\u09ac\u09be\u09b9\u0995\u09be\u09b2\u09c7\u09b0 \u09b8\u09ae\u09be\u09a8\u09c1\u09aa\u09be\u09a4\u09bf\u0995<\/strong>\u0964<\/span><\/p>\n

\u0985\u09b0\u09cd\u09a5\u09be\u09ce \\mathrm{H} \\propto \\mathrm{t}<\/span><\/span> \u09af\u09a6\u09bf \\mathrm{i}<\/span> \u098f\u09ac\u0982 \\mathrm{R}<\/span> \u09b8\u09cd\u09a5\u09bf\u09b0 \u09a5\u09be\u0995\u09c7\u0964<\/span><\/p>\n

\u09a4\u09c3\u09a4\u09c0\u09af\u09bc \u09b8\u09c2\u09a4\u09cd\u09b0\u099f\u09bf\u09b0 (Third Law) \u0985\u09b0\u09cd\u09a5\u2014\u09ac\u09bf\u09a6\u09cd\u09af\u09c1\u09ce \u09aa\u09cd\u09b0\u09ac\u09be\u09b9\u0995\u09be\u09b2 \u09a6\u09cd\u09ac\u09bf\u0997\u09c1\u09a3 \u09ac\u09be \u099a\u09be\u09b0\u0997\u09c1\u09a3 \u09ac\u09c3\u09a6\u09cd\u09a7\u09bf \u0995\u09b0\u09b2\u09c7 \u0989\u09a6\u09cd\u09ad\u09c2\u09a4 \u09a4\u09be\u09aa\u09c7\u09b0 \u09aa\u09b0\u09bf\u09ae\u09be\u09a3 \u09ac\u09c3\u09a6\u09cd\u09a7\u09bf \u09aa\u09c7\u09af\u09bc\u09c7 \u09af\u09a5\u09be\u0995\u09cd\u09b0\u09ae\u09c7 \u09a4\u09be\u09aa\u09c7\u09b0 \u09a6\u09cd\u09ac\u09bf\u0997\u09c1\u09a3 \u09ac\u09be \u099a\u09be\u09b0\u0997\u09c1\u09a3 \u09b9\u09ac\u09c7\u0964<\/span><\/p>\n

\u0995\u09be\u099c\u09c7\u0987 \u098f\u0995\u0987 \u09ac\u09bf\u09a6\u09cd\u09af\u09c1\u09ce \u09aa\u09cd\u09b0\u09ac\u09be\u09b9\u09c7 \u098f\u0995\u099f\u09bf \u09b0\u09cb\u09a7\u09c7 \\mathrm{t}_{1}, \\mathrm{t}_{2}, \\mathrm{t}_{3},<\/span><\/span> …… \u09b8\u09c7\u0995\u09c7\u09a3\u09cd\u09a1\u09c7 \u09af\u09a5\u09be\u0995\u09cd\u09b0\u09ae\u09c7 \\mathrm{H}_{1}, \\mathrm{H}_{2}, \\mathrm{H}_{3},<\/span> <\/span>…… \u09aa\u09b0\u09bf\u09ae\u09be\u09a3 \u09a4\u09be\u09aa \u0989\u09ce\u09aa\u09a8\u09cd\u09a8 \u09b9\u09b2\u09c7, <\/span>\\frac{\\mathrm{H}_{1}}{\\mathrm{t}_{1}}=\\frac{\\mathrm{H}_{2}}{\\mathrm{t}_{2}}=\\frac{\\mathrm{H}_{3}}{\\mathrm{t}_{3}}<\/span>= \u09a7\u09cd\u09b0\u09c1\u09ac\u0995<\/strong><\/p>\n

\u09b8\u09c2\u09a4\u09cd\u09b0 \u09a4\u09bf\u09a8\u099f\u09bf \u098f\u0995\u09a4\u09cd\u09b0\u09bf\u09a4 \u0995\u09b0\u09b2\u09c7 \u0986\u09ae\u09b0\u09be \u09aa\u09be\u0987,<\/span><\/p>\n

H \\propto i^{2} R t<\/span><\/span><\/p>\n

=\\mathrm{K} i^{2} R t=0.24=i^{2}Rt<\/span><\/span>\u00a0cal<\/span> \u2026. \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u2026.\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 … \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 (3.5)\u00a0<\/span><\/p>\n

\u098f\u0996\u09be\u09a8\u09c7 \\mathrm{K}<\/span>\u00a0\u09b9\u09b2\u09cb \u09b8\u09ae\u09be\u09a8\u09c1\u09aa\u09be\u09a4\u09bf\u0995 \u09a7\u09cd\u09b0\u09c1\u09ac\u0995<\/span>\u0964<\/span> \u09b8\u09ae\u09c0\u0995\u09b0\u09a3 (3.5)-\u098f\u09b0 \u09ac\u09bf\u09ad\u09bf\u09a8\u09cd\u09a8 \u09b0\u09be\u09b6\u09bf\u09b0 \u098f\u0995\u0995\u09c7\u09b0 \u0993\u09aa\u09b0 \\mathrm{K}<\/span>-\u098f\u09b0 \u09ae\u09be\u09a8 \u09a8\u09bf\u09b0\u09cd\u09ad\u09b0 \u0995\u09b0\u09c7, \\mathrm{H}<\/span>-\u0995\u09c7 <\/span>calorie<\/span>-\u09a4\u09c7, \\mathrm{i}<\/span>-\u0995\u09c7 <\/span>ampere<\/span>-\u098f, \\mathrm{R}<\/span>-\u0995\u09c7 <\/span>ohm<\/span>-\u098f \u098f\u09ac\u0982 \\mathrm{t}<\/span>-\u0995\u09c7 <\/span>sec<\/span>-\u098f \u09aa\u09cd\u09b0\u0995\u09be\u09b6 \u0995\u09b0\u09b2\u09c7 \\mathrm{K} =0.24<\/span><\/span>\u00a0\u0985\u09b0\u09cd\u09a5\u09be\u09ce \\mathrm{K}=\\frac{1}{\\mathrm{~J}}<\/span><\/span>\u0964<\/span>\u00a0<\/span><\/p>\n

\u098f\u0996\u09be\u09a8\u09c7<\/span> \\mathrm{J} =<\/span><\/span>\u00a0\u09a4\u09be\u09aa\u09c7\u09b0 \u09af\u09be\u09a8\u09cd\u09a4\u09cd\u09b0\u09bf\u0995 \u09b8\u09ae\u09a4\u09c1\u09b2 \u09ac\u09be \u09a4\u09c1\u09b2\u09cd\u09af\u09be\u0999\u09cd\u0995<\/span>\u0964<\/span> \u098f\u0995\u0995 \u09a4\u09be\u09aa \u0989\u09ce\u09aa\u09a8\u09cd\u09a8 \u0995\u09b0\u09a4\u09c7 \u09af\u09c7 \u09aa\u09b0\u09bf\u09ae\u09be\u09a3 \u0995\u09be\u099c \u0995\u09b0\u09a4\u09c7 \u09b9\u09af\u09bc \u09ac\u09be \u098f\u0995\u0995 \u09a4\u09be\u09aa \u09a6\u09cd\u09ac\u09be\u09b0\u09be \u09af\u09c7 \u09aa\u09b0\u09bf\u09ae\u09be\u09a3 \u0995\u09be\u099c \u0995\u09b0\u09be \u09af\u09be\u09af\u09bc, \u09a4\u09be\u0995\u09c7 \u09a4\u09be\u09aa\u09c7\u09b0 \u09af\u09be\u09a8\u09cd\u09a4\u09cd\u09b0\u09bf\u0995 \u09b8\u09ae\u09a4\u09c1\u09b2 \u09ac\u09b2\u09c7<\/span>\u0964<\/span><\/p>\n

\u09a6\u09c1\u099f\u09bf \u09ac\u09c8\u09a6\u09cd\u09af\u09c1\u09a4\u09bf\u0995 \u09b9\u09bf\u099f\u09be\u09b0\u09c7\u09b0 \u0995\u09c1\u09a3\u09cd\u09a1\u09b2\u09c0 \u098f\u0995\u0987 \u0989\u09aa\u09be\u09a6\u09be\u09a8 \u09a6\u09bf\u09af\u09bc\u09c7 \u09a4\u09c8\u09b0\u09bf\u0964 \u098f\u09a6\u09c7\u09b0\u0995\u09c7 \u09b8\u09ae\u09be\u09a8\u09cd\u09a4\u09b0\u09be\u09b2 \u09b8\u09ae\u09ac\u09be\u09af\u09bc\u09c7 \u09ae\u09c7\u0987\u09a8\u09cd\u200c\u09b8\u09c7\u09b0 \u09b8\u09be\u09a5\u09c7 \u09af\u09c1\u0995\u09cd\u09a4 \u0995\u09b0\u09be \u09b9\u09b2\u09cb\u0964 \u098f\u0995\u099f\u09bf \u0995\u09c1\u09a3\u09cd\u09a1\u09b2\u09c0\u09b0 \u09a4\u09be\u09b0\u09c7\u09b0 \u09a6\u09c8\u09b0\u09cd\u0998\u09cd\u09af \u0993 \u09ac\u09cd\u09af\u09be\u09b8 \u0985\u09aa\u09b0 \u0995\u09c1\u09a3\u09cd\u09a1\u09b2\u09c0\u09b0 \u09a4\u09be\u09b0\u09c7\u09b0 \u09a4\u09c1\u09b2\u09a8\u09be\u09af\u09bc \u09a6\u09cd\u09ac\u09bf\u0997\u09c1\u09a3\u0964 \u0995\u09cb\u09a8\u099f\u09bf\u09a4\u09c7 \u09ac\u09c7\u09b6\u09bf \u09a4\u09be\u09aa \u0989\u09ce\u09aa\u09a8\u09cd\u09a8 \u09b9\u09ac\u09c7 ?<\/span><\/p>\n

 <\/p>\n

\u09ae\u09a8\u09c7 \u0995\u09b0\u09bf A \u0993 B \u0995\u09c1\u09a3\u09cd\u09a1\u09b2\u09c0 \u09a6\u09c1\u099f\u09bf \u09ae\u09c7\u0987\u09a8\u09b8\u09c7\u09b0 \u09b8\u09be\u09a5\u09c7 \u09b8\u09ae\u09be\u09a8\u09cd\u09a4\u09b0\u09be\u09b2\u09c7 \u09af\u09c1\u0995\u09cd\u09a4\u0964 A \u0995\u09c1\u09a3\u09cd\u09a1\u09b2\u09c0\u09b0 \u09a4\u09be\u09b0\u09c7\u09b0 \u09a6\u09c8\u09b0\u09cd\u0998\u09cd\u09af \u0993 \u09ac\u09cd\u09af\u09be\u09b8 B \u0995\u09c1\u09a3\u09cd\u09a1\u09b2\u09c0\u09b0 \u09a4\u09be\u09b0\u09c7\u09b0 \u09a4\u09c1\u09b2\u09a8\u09be\u09af\u09bc \u09a6\u09cd\u09ac\u09bf\u0997\u09c1\u09a3\u0964\u00a0<\/span><\/p>\n

B \u09a4\u09be\u09b0\u09c7\u09b0 \u09b0\u09cb\u09a7, \\mathrm{R}_{B}=\\frac{\\rho l}{A}=\\frac{\\rho l}{\\pi\\left(\\frac{d}{2}\\right)^{2}}=\\frac{4 \\rho l}{\\pi d^{2}}<\/span><\/span><\/p>\n

A \u09a4\u09be\u09b0\u09c7\u09b0 \u09b0\u09cb\u09a7, \\mathrm{R}_{A}=\\frac{4 \\rho \\times 2 l}{\\pi(2 d)^{2}}=\\frac{8 \\rho l}{4 \\pi d^{2}}=\\frac{2 \\rho l}{\\pi d^{2}}<\/span><\/span><\/p>\n

 <\/p>\n

\u098f\u0996\u09a8 A \u09a4\u09be\u09b0\u09c7\u09b0 \u09a6\u09c8\u09b0\u09cd\u0998\u09cd\u09af (l) \u0993 \u09ac\u09cd\u09af\u09be\u09b8 (d) \u09a6\u09cd\u09ac\u09bf\u0997\u09c1\u09a3 \u09ac\u09b2\u09c7 \u098f\u0987 \u09b8\u09ae\u09c0\u0995\u09b0\u09a3 \u0985\u09a8\u09c1\u09af\u09be\u09af\u09bc\u09c0 A \u09a4\u09be\u09b0\u09c7\u09b0 \u09b0\u09cb\u09a7 B \u09a4\u09be\u09b0\u09c7\u09b0 \u09b0\u09cb\u09a7\u09c7\u09b0 \u0985\u09b0\u09cd\u09a7\u09c7\u0995\u0964 \u09a4\u09be\u09b0 \u09a6\u09c1\u099f\u09bf \u09b8\u09ae\u09be\u09a8\u09cd\u09a4\u09b0\u09be\u09b2 \u09b8\u09ae\u09ac\u09be\u09af\u09bc\u09c7 \u09a5\u09be\u0995\u09be\u09af\u09bc, \u0995\u09ae \u09b0\u09cb\u09a7\u09c7\u09b0 \u09a4\u09be\u09b0\u09c7 \u0985\u09b0\u09cd\u09a5\u09be\u09ce A \u09a4\u09be\u09b0\u09c7 \u09ac\u09c7\u09b6\u09bf \u09aa\u09cd\u09b0\u09ac\u09be\u09b9 \u099a\u09b2\u09ac\u09c7 \u098f\u09ac\u0982 \u09ac\u09c7\u09b6\u09bf \u09a4\u09be\u09aa \u0989\u09ce\u09aa\u09a8\u09cd\u09a8 \u09b9\u09ac\u09c7\u0964<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"

1841 \u0996\u09cd\u09b0\u09bf\u09b8\u09cd\u099f\u09be\u09ac\u09cd\u09a6\u09c7 \u09ac\u09bf\u0996\u09cd\u09af\u09be\u09a4 \u0987\u0982\u09b0\u09c7\u099c \u09ac\u09bf\u099c\u09cd\u099e\u09be\u09a8\u09c0 \u099c\u09c7. \u09aa\u09bf. \u099c\u09c1\u09b2 (J. P. Joule) \u09aa\u09b0\u09bf\u09ac\u09be\u09b9\u09c0\u09b0 \u09ad\u09c7\u09a4\u09b0 \u09a6\u09bf\u09af\u09bc\u09c7 \u09ac\u09bf\u09a6\u09cd\u09af\u09c1\u09ce \u09aa\u09cd\u09b0\u09ac\u09be\u09b9 \u0993 \u098f\u09b0 \u09ab\u09b2\u09c7 \u0989\u09ce\u09aa\u09a8\u09cd\u09a8 \u09a4\u09be\u09aa\u09c7\u09b0 \u09aa\u09b0\u09c0\u0995\u09cd\u09b7\u09be\u09b2\u09ac\u09cd\u09a7 \u09ab\u09b2\u09be\u09ab\u09b2 \u09b9\u09a4\u09c7 \u09a4\u09bf\u09a8\u099f\u09bf \u09b8\u09c2\u09a4\u09cd\u09b0 \u09ac\u09bf\u09ac\u09c3\u09a4 \u0995\u09b0\u09c7\u09a8\u0964 \u099c\u09c1\u09b2\u09c7\u09b0 \u09a8\u09be\u09ae\u09be\u09a8\u09c1\u09b8\u09be\u09b0\u09c7 \u098f\u09a6\u09c7\u09b0\u0995\u09c7 \u09a4\u09be\u09aa \u0989\u09ce\u09aa\u09be\u09a6\u09a8\u09c7\u09b0 \u0995\u09cd\u09b7\u09c7\u09a4\u09cd\u09b0\u09c7 \u099c\u09c1\u09b2\u09c7\u09b0 \u09b8\u09c2\u09a4\u09cd\u09b0 (Joule’s law for the<\/p>\n

Read More<\/a><\/p>\n","protected":false},"author":6,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":[],"categories":[4247,3029,50,51],"tags":[2045,2046,2047,2048,2049],"_links":{"self":[{"href":"https:\/\/10minuteschool.com\/content\/wp-json\/wp\/v2\/posts\/2835"}],"collection":[{"href":"https:\/\/10minuteschool.com\/content\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/10minuteschool.com\/content\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/10minuteschool.com\/content\/wp-json\/wp\/v2\/users\/6"}],"replies":[{"embeddable":true,"href":"https:\/\/10minuteschool.com\/content\/wp-json\/wp\/v2\/comments?post=2835"}],"version-history":[{"count":7,"href":"https:\/\/10minuteschool.com\/content\/wp-json\/wp\/v2\/posts\/2835\/revisions"}],"predecessor-version":[{"id":6178,"href":"https:\/\/10minuteschool.com\/content\/wp-json\/wp\/v2\/posts\/2835\/revisions\/6178"}],"wp:attachment":[{"href":"https:\/\/10minuteschool.com\/content\/wp-json\/wp\/v2\/media?parent=2835"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/10minuteschool.com\/content\/wp-json\/wp\/v2\/categories?post=2835"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/10minuteschool.com\/content\/wp-json\/wp\/v2\/tags?post=2835"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}