{"id":300748,"date":"2024-08-17T11:24:44","date_gmt":"2024-08-17T11:24:44","guid":{"rendered":"https:\/\/www.electricity-magnetism.org\/?p=300748"},"modified":"2024-09-15T22:37:08","modified_gmt":"2024-09-15T22:37:08","slug":"%e0%a4%97%e0%a5%8b%e0%a4%b2%e0%a4%be%e0%a4%95%e0%a4%be%e0%a4%b0-%e0%a4%b8%e0%a4%82%e0%a4%a7%e0%a4%be%e0%a4%b0%e0%a4%bf%e0%a4%a4%e0%a5%8d%e0%a4%b0-%e0%a4%95%e0%a5%80-%e0%a4%a7%e0%a4%be%e0%a4%b0","status":"publish","type":"post","link":"https:\/\/www.electricity-magnetism.org\/hi\/%e0%a4%97%e0%a5%8b%e0%a4%b2%e0%a4%be%e0%a4%95%e0%a4%be%e0%a4%b0-%e0%a4%b8%e0%a4%82%e0%a4%a7%e0%a4%be%e0%a4%b0%e0%a4%bf%e0%a4%a4%e0%a5%8d%e0%a4%b0-%e0%a4%95%e0%a5%80-%e0%a4%a7%e0%a4%be%e0%a4%b0\/","title":{"rendered":"\u0917\u094b\u0932\u093e\u0915\u093e\u0930 \u0938\u0902\u0927\u093e\u0930\u093f\u0924\u094d\u0930 \u0915\u0940 \u0927\u093e\u0930\u093f\u0924\u093e \u0915\u094d\u092f\u093e \u0939\u094b\u0924\u0940 \u0939\u0948?"},"content":{"rendered":"

\u0917\u094b\u0932\u093e\u0915\u093e\u0930 \u0938\u0902\u0927\u093e\u0930\u093f\u0924\u094d\u0930 \u0915\u0940 \u0927\u093e\u0930\u093f\u0924\u093e: \u0917\u094b\u0932 \u0906\u0915\u093e\u0930 \u0915\u0947 \u0938\u0902\u0927\u093e\u0930\u093f\u0924\u094d\u0930 \u0915\u0940 \u0927\u093e\u0930\u093f\u0924\u093e \u0915\u093e \u0928\u093f\u0930\u094d\u0927\u093e\u0930\u0923 \u0915\u0948\u0938\u0947 \u0939\u094b\u0924\u093e \u0939\u0948, \u0907\u0938\u0915\u0947 \u0938\u093f\u0926\u094d\u0927\u093e\u0902\u0924 \u0914\u0930 \u0917\u0923\u0928\u093e \u0935\u093f\u0927\u093f\u092f\u093e\u0901 \u0939\u093f\u0902\u0926\u0940 \u092e\u0947\u0902 \u0938\u092e\u091d\u093f\u090f\u0964<\/p>\n

\u0917\u094b\u0932\u093e\u0915\u093e\u0930 \u0938\u0902\u0927\u093e\u0930\u093f\u0924\u094d\u0930 \u0915\u0940 \u0927\u093e\u0930\u093f\u0924\u093e \u0915\u094d\u092f\u093e \u0939\u094b\u0924\u0940 \u0939\u0948?<\/h2>\n

\u0938\u0902\u0927\u093e\u0930\u093f\u0924\u094d\u0930 (Capacitor) \u090f\u0915 \u0910\u0938\u093e \u092f\u0941\u0915\u094d\u0924\u093f (device) \u0939\u0948 \u091c\u094b \u0935\u093f\u0926\u094d\u092f\u0941\u0924 \u0906\u0935\u0947\u0936 (electric charge) \u0915\u094b \u0938\u0902\u0917\u094d\u0930\u0939\u093f\u0924 \u0915\u0930\u0924\u093e \u0939\u0948\u0964 \u0938\u0902\u0927\u093e\u0930\u093f\u0924\u094d\u0930\u094b\u0902 \u0915\u0947 \u0915\u0908 \u092a\u094d\u0930\u0915\u093e\u0930 \u0939\u094b\u0924\u0947 \u0939\u0948\u0902, \u0909\u0928\u092e\u0947\u0902 \u0938\u0947 \u090f\u0915 \u092a\u094d\u0930\u092e\u0941\u0916 \u092a\u094d\u0930\u0915\u093e\u0930 \u0939\u0948 \u0917\u094b\u0932\u093e\u0915\u093e\u0930 \u0938\u0902\u0927\u093e\u0930\u093f\u0924\u094d\u0930 (Spherical Capacitor)\u0964 \u0917\u094b\u0932\u093e\u0915\u093e\u0930 \u0938\u0902\u0927\u093e\u0930\u093f\u0924\u094d\u0930 \u092e\u0947\u0902 \u0927\u093e\u0924\u0941 \u0915\u0940 \u0926\u094b \u0938\u0902\u0915\u0947\u0902\u0926\u094d\u0930\u093f\u0924 \u0917\u094b\u0932\u0915 (concentric spheres) \u0936\u093e\u092e\u093f\u0932 \u0939\u094b\u0924\u0940 \u0939\u0948\u0902, \u091c\u093f\u0928\u0915\u0947 \u092c\u0940\u091a \u092e\u0947\u0902 \u090f\u0915 \u0915\u094d\u0937\u0940\u0923 \u092e\u093e\u0927\u094d\u092f\u092e (dielectric medium) \u0939\u094b\u0924\u093e \u0939\u0948\u0964<\/p>\n

\u0917\u094b\u0932\u093e\u0915\u093e\u0930 \u0938\u0902\u0927\u093e\u0930\u093f\u0924\u094d\u0930 \u0915\u0940 \u0938\u0902\u0930\u091a\u0928\u093e<\/h2>\n

\u0917\u094b\u0932\u093e\u0915\u093e\u0930 \u0938\u0902\u0927\u093e\u0930\u093f\u0924\u094d\u0930 \u0926\u094b \u0917\u094b\u0932\u093e\u0915\u093e\u0930 \u092a\u094d\u0932\u0947\u091f\u094b\u0902 \u0938\u0947 \u092e\u093f\u0932\u0915\u0930 \u092c\u0928\u0924\u093e \u0939\u0948: \u090f\u0915 \u0906\u0902\u0924\u0930\u093f\u0915 \u0917\u094b\u0932\u0915 \u0914\u0930 \u090f\u0915 \u092c\u093e\u0939\u0930\u0940 \u0917\u094b\u0932\u0915\u0964 \u0907\u0928\u0915\u093e \u0935\u093f\u0938\u094d\u0924\u0943\u0924 \u0935\u093f\u0935\u0930\u0923 \u0907\u0938 \u092a\u094d\u0930\u0915\u093e\u0930 \u0939\u0948:<\/p>\n

<\/p>\n

  • \u0906\u0902\u0924\u0930\u093f\u0915 \u0917\u094b\u0932\u0915 (Inner Sphere): \u0924\u094d\u0930\u093f\u091c\u094d\u092f\u093e R1<\/sub><\/i><\/li>\n
  • \u092c\u093e\u0939\u0930\u0940 \u0917\u094b\u0932\u0915 (Outer Sphere): \u0924\u094d\u0930\u093f\u091c\u094d\u092f\u093e R2<\/sub><\/i> (R2<\/sub><\/i> > R1<\/sub><\/i>)<\/li>\n

    <\/u1><\/p>\n

    \u0927\u093e\u0930\u093f\u0924\u093e \u0915\u093e \u0938\u0942\u0924\u094d\u0930<\/h2>\n

    \u0917\u094b\u0932\u093e\u0915\u093e\u0930 \u0938\u0902\u0927\u093e\u0930\u093f\u0924\u094d\u0930 \u0915\u0940 \u0915\u0941\u0932 \u0927\u093e\u0930\u093f\u0924\u093e \u0928\u093f\u092e\u094d\u0928\u0932\u093f\u0916\u093f\u0924 \u0938\u0942\u0924\u094d\u0930 \u0938\u0947 \u091c\u094d\u091e\u093e\u0924 \u0915\u0940 \u091c\u093e \u0938\u0915\u0924\u0940 \u0939\u0948:<\/p>\n

    \\( C = 4 \\pi \\epsilon_0 \\frac{R_1 R_2}{R_2 – R_1} \\)<\/p>\n

    \u092f\u0939\u093e\u0901:<\/p>\n

    <\/p>\n

  • C<\/i>: \u0927\u093e\u0930\u093f\u0924\u093e (Capacitance)<\/li>\n
  • R1<\/sub><\/i>: \u0906\u0902\u0924\u0930\u093f\u0915 \u0917\u094b\u0932\u0915 \u0915\u0940 \u0924\u094d\u0930\u093f\u091c\u094d\u092f\u093e (Radius of inner sphere)<\/li>\n
  • R2<\/sub><\/i>: \u092c\u093e\u0939\u0930\u0940 \u0917\u094b\u0932\u0915 \u0915\u0940 \u0924\u094d\u0930\u093f\u091c\u094d\u092f\u093e (Radius of outer sphere)<\/li>\n
  • \\epsilon_0<\/i>: \u092e\u0941\u0915\u094d\u0924 \u0938\u094d\u0925\u093e\u0928 \u0915\u0940 \u0935\u093f\u0926\u094d\u092f\u0941\u0924-\u0905\u092a\u0935\u0930\u094d\u0924\u0915\u0924\u093e (Permittivity of free space)<\/li>\n

    <\/u1><\/p>\n

    \u0917\u0923\u0928\u093e \u0915\u093e \u0909\u0926\u093e\u0939\u0930\u0923<\/h2>\n

    \u0905\u0917\u0930 \u0906\u0902\u0924\u0930\u093f\u0915 \u0917\u094b\u0932\u0915 \u0915\u0940 \u0924\u094d\u0930\u093f\u091c\u094d\u092f\u093e 2 cm \u0914\u0930 \u092c\u093e\u0939\u0930\u0940 \u0917\u094b\u0932\u0915 \u0915\u0940 \u0924\u094d\u0930\u093f\u091c\u094d\u092f\u093e 5 cm \u0939\u0948, \u0924\u094b \u0917\u094b\u0932\u093e\u0915\u093e\u0930 \u0938\u0902\u0927\u093e\u0930\u093f\u0924\u094d\u0930 \u0915\u0940 \u0927\u093e\u0930\u093f\u0924\u093e \u0915\u093e \u092e\u093e\u0928 \u0915\u0948\u0938\u0947 \u0928\u093f\u0915\u093e\u0932\u0947\u0902:<\/p>\n

    \u0927\u093e\u0930\u093f\u0924\u093e \u0915\u093e \u0938\u0942\u0924\u094d\u0930:<\/p>\n

    \\( C = 4 \\pi \\epsilon_0 \\frac{R_1 R_2}{R_2 – R_1} \\)<\/p>\n

    \u091c\u0939\u093e\u0901 \\( \\epsilon_0 = 8.854 \\times 10^{-12} \\, F\/m \\) (\u092b\u0947\u0930\u093e\u0921 \u092a\u094d\u0930\u0924\u093f \u092e\u0940\u091f\u0930)<\/p>\n

    \u0915\u0926\u092e \u0905\u0928\u0941\u0938\u093e\u0930 \u0917\u0923\u0928\u093e:<\/p>\n

    1. \u0938\u093e\u092a\u0947\u0915\u094d\u0937 \u0924\u094d\u0930\u093f\u091c\u094d\u092f\u093e \u0915\u093e \u092a\u094d\u0930\u092f\u094b\u0917 \u0915\u0930\u0947\u0902:<\/p>\n

    \\( R_1 = 0.02 \\, m \\)<\/p>\n

    \\( R_2 = 0.05 \\, m \\)<\/p>\n

    2. \u0905\u0902\u0924\u0930 \u0928\u093f\u0915\u093e\u0932\u0947\u0902:<\/p>\n

    \\( R_2 – R_1 = 0.05 – 0.02 = 0.03 \\, m \\)<\/p>\n

    3. \u0927\u093e\u0930\u093f\u0924\u093e \u0915\u093e \u092e\u093e\u0928 \u0928\u093f\u0915\u093e\u0932\u0947\u0902:<\/p>\n

    \\( C = 4 \\pi \\times 8.854 \\times 10^{-12} \\times \\frac{0.02 \\times 0.05}{0.03} \\)<\/p>\n

    4. \u0917\u0923\u0928\u093e \u0915\u0930\u0947\u0902:<\/p>\n

    \\( C \\approx 4 \\times 3.1416 \\times 8.854 \\times 10^{-12} \\times 0.0333 \\)<\/p>\n

    \u0905\u0902\u0924\u0924\u0903, \u0927\u093e\u0930\u093f\u0924\u093e \\( C \\approx 3.708 \\times 10^{-12} \\, F \\) \u0939\u094b\u0917\u0940\u0964<\/p>\n

    \u0928\u093f\u0937\u094d\u0915\u0930\u094d\u0937<\/h2>\n

    \u0917\u094b\u0932\u093e\u0915\u093e\u0930 \u0938\u0902\u0927\u093e\u0930\u093f\u0924\u094d\u0930 \u0915\u0940 \u0927\u093e\u0930\u093f\u0924\u093e \u0915\u094b \u0938\u0930\u0932 \u0938\u092e\u0940\u0915\u0930\u0923 \u0926\u094d\u0935\u093e\u0930\u093e \u0928\u093f\u0915\u093e\u0932\u093e \u091c\u093e \u0938\u0915\u0924\u093e \u0939\u0948 \u091c\u093f\u0938\u092e\u0947\u0902 \u0917\u094b\u0932\u0915\u094b\u0902 \u0915\u0940 \u0924\u094d\u0930\u093f\u091c\u094d\u092f\u093e \u0914\u0930 \u092e\u093e\u0927\u094d\u092f\u092e \u0915\u0940 \u0935\u093f\u0926\u094d\u092f\u0941\u0924-\u0905\u092a\u0935\u0930\u094d\u0924\u0915\u0924\u093e \u0936\u093e\u092e\u093f\u0932 \u0939\u094b\u0924\u0940 \u0939\u0948\u0964 \u092f\u0939 \u0927\u093e\u0930\u093f\u0924\u093e \u0935\u093f\u0926\u094d\u092f\u0941\u0924 \u0914\u0930 \u0907\u0932\u0947\u0915\u094d\u091f\u094d\u0930\u0949\u0928\u093f\u0915\u094d\u0938 \u0915\u0947 \u0935\u093f\u092d\u093f\u0928\u094d\u0928 \u0905\u0928\u0941\u092a\u094d\u0930\u092f\u094b\u0917\u094b\u0902 \u092e\u0947\u0902 \u092c\u0939\u0941\u0924 \u092e\u0939\u0924\u094d\u0935\u092a\u0942\u0930\u094d\u0923 \u0939\u094b\u0924\u0940 \u0939\u0948, \u091c\u0948\u0938\u0947 \u0915\u093f \u090f\u0928\u0930\u094d\u091c\u0940 \u0938\u094d\u091f\u094b\u0930\u0947\u091c, \u091f\u094d\u0930\u093e\u0902\u0938\u094d\u092e\u093f\u0936\u0928 \u0914\u0930 \u092a\u093e\u0935\u0930 \u0938\u092a\u094d\u0932\u093e\u0908 \u0938\u093f\u0938\u094d\u091f\u092e \u092e\u0947\u0902\u0964<\/p>\n

    Summary<\/h2>\n

    \"\u0917\u094b\u0932\u093e\u0915\u093e\u0930<\/p>\n","protected":false},"excerpt":{"rendered":"

    \u0917\u094b\u0932\u093e\u0915\u093e\u0930 \u0938\u0902\u0927\u093e\u0930\u093f\u0924\u094d\u0930 \u0915\u0940 \u0927\u093e\u0930\u093f\u0924\u093e: \u0917\u094b\u0932 \u0906\u0915\u093e\u0930 \u0915\u0947 \u0938\u0902\u0927\u093e\u0930\u093f\u0924\u094d\u0930 \u0915\u0940 \u0927\u093e\u0930\u093f\u0924\u093e \u0915\u093e \u0928\u093f\u0930\u094d\u0927\u093e\u0930\u0923 \u0915\u0948\u0938\u0947 \u0939\u094b\u0924\u093e \u0939\u0948, \u0907\u0938\u0915\u0947 \u0938\u093f\u0926\u094d\u0927\u093e\u0902\u0924 \u0914\u0930 \u0917\u0923\u0928\u093e \u0935\u093f\u0927\u093f\u092f\u093e\u0901 \u0939\u093f\u0902\u0926\u0940 \u092e\u0947\u0902 \u0938\u092e\u091d\u093f\u090f\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-300748","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":"\n\u0917\u094b\u0932\u093e\u0915\u093e\u0930 \u0938\u0902\u0927\u093e\u0930\u093f\u0924\u094d\u0930 \u0915\u0940 \u0927\u093e\u0930\u093f\u0924\u093e \u0915\u094d\u092f\u093e \u0939\u094b\u0924\u0940 \u0939\u0948?<\/title>\n<meta name=\"description\" content=\"\u0917\u094b\u0932\u093e\u0915\u093e\u0930 \u0938\u0902\u0927\u093e\u0930\u093f\u0924\u094d\u0930 \u0915\u0940 \u0927\u093e\u0930\u093f\u0924\u093e: \u0917\u094b\u0932 \u0906\u0915\u093e\u0930 \u0915\u0947 \u0938\u0902\u0927\u093e\u0930\u093f\u0924\u094d\u0930 \u0915\u0940 \u0927\u093e\u0930\u093f\u0924\u093e \u0915\u093e \u0928\u093f\u0930\u094d\u0927\u093e\u0930\u0923 \u0915\u0948\u0938\u0947 \u0939\u094b\u0924\u093e \u0939\u0948, \u0907\u0938\u0915\u0947 \u0938\u093f\u0926\u094d\u0927\u093e\u0902\u0924 \u0914\u0930 \u0917\u0923\u0928\u093e \u0935\u093f\u0927\u093f\u092f\u093e\u0901 \u0939\u093f\u0902\u0926\u0940 \u092e\u0947\u0902 \u0938\u092e\u091d\u093f\u090f\u0964\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/www.electricity-magnetism.org\/hi\/%e0%a4%97%e0%a5%8b%e0%a4%b2%e0%a4%be%e0%a4%95%e0%a4%be%e0%a4%b0-%e0%a4%b8%e0%a4%82%e0%a4%a7%e0%a4%be%e0%a4%b0%e0%a4%bf%e0%a4%a4%e0%a5%8d%e0%a4%b0-%e0%a4%95%e0%a5%80-%e0%a4%a7%e0%a4%be%e0%a4%b0\/\" \/>\n<meta property=\"og:locale\" content=\"hi_IN\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta 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