{"id":306271,"date":"2024-08-17T12:00:39","date_gmt":"2024-08-17T12:00:39","guid":{"rendered":"https:\/\/www.electricity-magnetism.org\/?p=306271"},"modified":"2024-09-14T03:54:33","modified_gmt":"2024-09-14T03:54:33","slug":"%e0%a4%aa%e0%a5%8d%e0%a4%b0%e0%a4%a4%e0%a4%bf%e0%a4%b0%e0%a5%8b%e0%a4%a7%e0%a5%8b%e0%a4%82-%e0%a4%95%e0%a5%8b-%e0%a4%b8%e0%a4%ae%e0%a4%be%e0%a4%a8%e0%a4%be%e0%a4%82%e0%a4%a4%e0%a4%b0-%e0%a4%ae","status":"publish","type":"post","link":"https:\/\/www.electricity-magnetism.org\/hi\/%e0%a4%aa%e0%a5%8d%e0%a4%b0%e0%a4%a4%e0%a4%bf%e0%a4%b0%e0%a5%8b%e0%a4%a7%e0%a5%8b%e0%a4%82-%e0%a4%95%e0%a5%8b-%e0%a4%b8%e0%a4%ae%e0%a4%be%e0%a4%a8%e0%a4%be%e0%a4%82%e0%a4%a4%e0%a4%b0-%e0%a4%ae\/","title":{"rendered":"\u092a\u094d\u0930\u0924\u093f\u0930\u094b\u0927\u094b\u0902 \u0915\u094b \u0938\u092e\u093e\u0928\u093e\u0902\u0924\u0930 \u092e\u0947\u0902 \u0915\u0948\u0938\u0947 \u091c\u094b\u0921\u093c\u0947\u0902?"},"content":{"rendered":"<p class=\"sidekick\">\u092a\u094d\u0930\u0924\u093f\u0930\u094b\u0927\u094b\u0902 \u0915\u094b \u0938\u092e\u093e\u0928\u093e\u0902\u0924\u0930 \u092e\u0947\u0902 \u091c\u094b\u0921\u093c\u0928\u0947 \u0915\u093e \u0924\u0930\u0940\u0915\u093e: \u0938\u0930\u0932 \u091a\u0930\u0923\u094b\u0902 \u092e\u0947\u0902 \u0938\u0940\u0916\u0947\u0902, \u0935\u093f\u0926\u094d\u092f\u0941\u0924 \u092a\u0930\u093f\u092a\u0925 \u092e\u0947\u0902 \u092a\u094d\u0930\u0924\u093f\u0930\u094b\u0927 \u0915\u094b \u0915\u092e \u0915\u0930\u0928\u0947 \u0914\u0930 \u0935\u093f\u0926\u094d\u092f\u0941\u0924 \u092a\u094d\u0930\u0935\u093e\u0939 \u0915\u094b \u092c\u0922\u093c\u093e\u0928\u0947 \u0915\u0947 \u0932\u093e\u092d \u0938\u092e\u091d\u0947\u0902\u0964<\/p>\n<h2>\u092a\u094d\u0930\u0924\u093f\u0930\u094b\u0927\u094b\u0902 \u0915\u094b \u0938\u092e\u093e\u0928\u093e\u0902\u0924\u0930 \u092e\u0947\u0902 \u0915\u0948\u0938\u0947 \u091c\u094b\u0921\u093c\u0947\u0902?<\/h2>\n<p>\u091c\u092c \u0939\u092e \u092a\u094d\u0930\u0924\u093f\u0930\u094b\u0927\u094b\u0902 (resistors) \u0915\u094b \u092c\u093f\u091c\u0932\u0940 \u0915\u0947 \u092a\u0930\u093f\u092a\u0925 (circuit) \u092e\u0947\u0902 \u0938\u092e\u093e\u0928\u093e\u0902\u0924\u0930 (parallel) \u092e\u0947\u0902 \u091c\u094b\u0921\u093c\u0924\u0947 \u0939\u0948\u0902, \u0924\u094b \u0938\u092e\u0917\u094d\u0930 \u092a\u094d\u0930\u0924\u093f\u0930\u094b\u0927 (total resistance) \u0915\u092e \u0939\u094b \u091c\u093e\u0924\u093e \u0939\u0948\u0964 \u092f\u0939 \u0935\u093f\u0927\u093f \u0924\u092c \u0909\u092a\u092f\u094b\u0917\u0940 \u0939\u094b\u0924\u0940 \u0939\u0948 \u091c\u092c \u0939\u092e\u0947\u0902 \u0905\u0927\u093f\u0915 \u0935\u093f\u0926\u094d\u092f\u0941\u0924 \u092a\u094d\u0930\u0935\u093e\u0939 (current) \u0915\u0940 \u0906\u0935\u0936\u094d\u092f\u0915\u0924\u093e \u0939\u094b\u0924\u0940 \u0939\u0948\u0964<\/p>\n<p>\u0938\u092e\u093e\u0928\u093e\u0902\u0924\u0930 \u092e\u0947\u0902 \u091c\u0941\u0921\u093c\u0947 \u092a\u094d\u0930\u0924\u093f\u0930\u094b\u0927\u0915 \u092a\u0930 \u0915\u0941\u0932 \u092a\u094d\u0930\u0924\u093f\u0930\u094b\u0927 \u0916\u094b\u091c\u0928\u0947 \u0915\u093e \u0924\u0930\u0940\u0915\u093e \u0925\u094b\u0921\u093c\u093e \u0905\u0932\u0917 \u0939\u094b\u0924\u093e \u0939\u0948\u0964 \u0906\u0907\u090f \u0926\u0947\u0916\u0947\u0902 \u0915\u093f \u0907\u0938\u0947 \u0915\u0948\u0938\u0947 \u0915\u093f\u092f\u093e \u091c\u093e\u0924\u093e \u0939\u0948\u0964<\/p>\n<h2>\u092a\u094d\u0930\u0924\u093f\u0930\u094b\u0927\u094b\u0902 \u0915\u094b \u0938\u092e\u093e\u0928\u093e\u0902\u0924\u0930 \u092e\u0947\u0902 \u091c\u094b\u0921\u093c\u0928\u0947 \u0915\u093e \u0938\u093f\u0926\u094d\u0927\u093e\u0902\u0924<\/h2>\n<p>\u0938\u092e\u093e\u0928\u093e\u0902\u0924\u0930 \u092a\u0930\u093f\u092a\u0925 \u092e\u0947\u0902 \u092a\u094d\u0930\u0924\u094d\u092f\u0947\u0915 \u092a\u094d\u0930\u0924\u093f\u0930\u094b\u0927 (R<sub>1<\/sub>, R<sub>2<\/sub>, R<sub>3<\/sub>, &#8230; , R<sub>n<\/sub>) \u0915\u0947 \u0932\u093f\u090f \u0935\u093f\u0926\u094d\u092f\u0941\u0924 \u0935\u093f\u092d\u0935 (voltage) \u0938\u092e\u093e\u0928 \u0939\u094b\u0924\u093e \u0939\u0948\u0964 \u092a\u0930\u0902\u0924\u0941, \u0935\u093f\u0926\u094d\u092f\u0941\u0924 \u0927\u093e\u0930\u093e (current) \u0935\u093f\u092d\u093e\u091c\u093f\u0924 \u0939\u094b \u091c\u093e\u0924\u0940 \u0939\u0948 \u0914\u0930 \u092a\u094d\u0930\u0924\u094d\u092f\u0947\u0915 \u092a\u094d\u0930\u0924\u093f\u0930\u094b\u0927\u0915 \u092e\u0947\u0902 \u0905\u0932\u0917-\u0905\u0932\u0917 \u0939\u094b \u0938\u0915\u0924\u0940 \u0939\u0948\u0964<\/p>\n<p>\u0915\u0941\u0932 \u092a\u094d\u0930\u0924\u093f\u0930\u094b\u0927 \u0916\u094b\u091c\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f \u0928\u093f\u092e\u094d\u0928\u0932\u093f\u0916\u093f\u0924 \u0938\u0942\u0924\u094d\u0930 \u0915\u093e \u0909\u092a\u092f\u094b\u0917 \u0939\u094b\u0924\u093e \u0939\u0948:<\/p>\n<p>\n\\[<br \/>\n\\frac{1}{R_{\\text{eq}}} = \\frac{1}{R_1} + \\frac{1}{R_2} + \\frac{1}{R_3} + \\cdots + \\frac{1}{R_n}<br \/>\n\\]\n<\/p>\n<p>\u092f\u0939\u093e\u0901, R<sub>eq<\/sub> \u0915\u0941\u0932 \u092a\u094d\u0930\u0924\u093f\u0930\u094b\u0927 \u0939\u0948\u0964<\/p>\n<h2>\u0909\u0926\u093e\u0939\u0930\u0923<\/h2>\n<p>\u092e\u093e\u0928 \u0932\u0940\u091c\u093f\u090f \u0939\u092e\u093e\u0930\u0947 \u092a\u093e\u0938 \u0924\u0940\u0928 \u092a\u094d\u0930\u0924\u093f\u0930\u094b\u0927\u0915 \u0939\u0948\u0902: R<sub>1<\/sub> = 4 \u03a9, R<sub>2<\/sub> = 6 \u03a9, \u0914\u0930 R<sub>3<\/sub> = 12 \u03a9\u0964 \u0907\u0928\u094d\u0939\u0947\u0902 \u0938\u092e\u093e\u0928\u093e\u0902\u0924\u0930 \u092e\u0947\u0902 \u091c\u094b\u0921\u093c\u0928\u0947 \u092a\u0930 \u0915\u0941\u0932 \u092a\u094d\u0930\u0924\u093f\u0930\u094b\u0927 \u0915\u0948\u0938\u0947 \u0928\u093f\u0915\u093e\u0932\u0947\u0902\u0917\u0947?<\/p>\n<ol>\n<li>\n    \u0938\u092c\u0938\u0947 \u092a\u0939\u0932\u0947, \u0938\u092d\u0940 \u092a\u094d\u0930\u0924\u093f\u0930\u094b\u0927\u0915\u094b\u0902 \u0915\u093e \u0935\u094d\u092f\u0941\u0924\u094d\u0915\u094d\u0930\u092e (reciprocal) \u0932\u0947\u0902\u0917\u0947:<\/p>\n<ul>\n<li>\\(\\frac{1}{R_1} = \\frac{1}{4} = 0.25\\)<\/li>\n<li>\\(\\frac{1}{R_2} = \\frac{1}{6} \\approx 0.1667\\)<\/li>\n<li>\\(\\frac{1}{R_3} = \\frac{1}{12} \\approx 0.0833\\)<\/li>\n<\/ul>\n<\/li>\n<li>\u0905\u092c \u0938\u092d\u0940 \u0935\u094d\u092f\u0941\u0924\u094d\u0915\u094d\u0930\u092e \u0915\u094b \u091c\u094b\u0921\u093c\u0947\u0902\u0917\u0947:\n<p>\\(\\frac{1}{R_{\\text{eq}}} = 0.25 + 0.1667 + 0.0833 \\approx 0.5\\)<\/p>\n<\/li>\n<li>\u0905\u0928\u094d\u0924 \u092e\u0947\u0902, \u0915\u0941\u0932 \u092a\u094d\u0930\u0924\u093f\u0930\u094b\u0927 \u0915\u094b \u0916\u094b\u091c\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f \u0935\u094d\u092f\u0941\u0924\u094d\u0915\u094d\u0930\u092e \u0915\u094b \u0909\u0932\u094d\u091f\u093e \u0915\u0930\u0947\u0902\u0917\u0947:\n<p>R<sub>eq<\/sub> = \\(\\frac{1}{0.5} = 2\\) \u03a9<\/p>\n<\/li>\n<\/ol>\n<h2>\u0938\u092e\u093e\u0928\u093e\u0902\u0924\u0930 \u092a\u0930\u093f\u092a\u0925 \u0915\u0947 \u0932\u093e\u092d<\/h2>\n<ul>\n<li>\u092a\u094d\u0930\u0924\u093f\u0930\u094b\u0927\u0915\u094b\u0902 \u0915\u094b \u0938\u092e\u093e\u0928\u093e\u0902\u0924\u0930 \u092e\u0947\u0902 \u091c\u094b\u0921\u093c\u0928\u0947 \u0938\u0947 \u0915\u0941\u0932 \u092a\u094d\u0930\u0924\u093f\u0930\u094b\u0927 \u0915\u092e \u0939\u094b\u0924\u093e \u0939\u0948\u0964<\/li>\n<li>\u092f\u0939 \u0935\u093f\u0927\u093f \u0905\u0927\u093f\u0915 \u092a\u094d\u0930\u0935\u093e\u0939 \u0915\u0940 \u091c\u0930\u0942\u0930\u0924 \u0935\u093e\u0932\u0947 \u092a\u0930\u093f\u092a\u0925\u094b\u0902 \u0915\u0947 \u0932\u093f\u090f \u0909\u092a\u092f\u0941\u0915\u094d\u0924 \u0939\u0948\u0964<\/li>\n<li>\u0939\u0930 \u092a\u094d\u0930\u0924\u093f\u0930\u094b\u0927\u0915 \u092a\u0930 \u0935\u094b\u0932\u094d\u091f\u0947\u091c \u0938\u092e\u093e\u0928 \u0939\u094b\u0924\u093e \u0939\u0948, \u091c\u093f\u0938\u0938\u0947 \u0909\u092a\u0915\u0930\u0923 \u0905\u0927\u093f\u0915 \u0938\u094d\u0925\u093f\u0930\u0924\u093e \u0938\u0947 \u0915\u093e\u0930\u094d\u092f \u0915\u0930 \u092a\u093e\u0924\u0947 \u0939\u0948\u0902\u0964<\/li>\n<\/ul>\n<p>\u092a\u094d\u0930\u0924\u093f\u0930\u094b\u0927\u0915\u094b\u0902 \u0915\u094b \u0938\u092e\u093e\u0928\u093e\u0902\u0924\u0930 \u092e\u0947\u0902 \u091c\u094b\u0921\u093c\u0928\u093e \u090f\u0915 \u092e\u0939\u0924\u094d\u0935\u092a\u0942\u0930\u094d\u0923 \u0924\u0915\u0928\u0940\u0915 \u0939\u0948 \u091c\u093f\u0938\u0915\u093e \u0909\u092a\u092f\u094b\u0917 \u0935\u093f\u0926\u094d\u092f\u0941\u0924 \u0907\u0902\u091c\u0940\u0928\u093f\u092f\u0930\u093f\u0902\u0917 \u0914\u0930 \u0935\u093f\u092d\u093f\u0928\u094d\u0928 \u0907\u0932\u0947\u0915\u094d\u091f\u094d\u0930\u0949\u0928\u093f\u0915 \u0909\u092a\u0915\u0930\u0923\u094b\u0902 \u092e\u0947\u0902 \u0915\u093f\u092f\u093e \u091c\u093e\u0924\u093e \u0939\u0948\u0964 \u0907\u0938\u0947 \u0938\u092e\u091d\u0915\u0930 \u0939\u092e \u0905\u0927\u093f\u0915 \u092a\u094d\u0930\u092d\u093e\u0935\u0940 \u0914\u0930 \u0938\u0941\u0930\u0915\u094d\u0937\u093f\u0924 \u092a\u0930\u093f\u092a\u0925 \u0921\u093f\u091c\u093e\u0907\u0928 \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-\u0930\u0924-\u0930-\u0927_\u0915_\u0938\u092e-\u0928-\u0924\u0930_\u092e_\u0915-\u0938_\u091c-\u0921.png\" alt=\"\u092a\u094d\u0930\u0924\u093f\u0930\u094b\u0927\u094b\u0902 \u0915\u094b \u0938\u092e\u093e\u0928\u093e\u0902\u0924\u0930 \u092e\u0947\u0902 \u0915\u0948\u0938\u0947 \u091c\u094b\u0921\u093c\u0947\u0902?\" style=\"display: block; margin-left: auto; margin-right: auto;\"\/><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u092a\u094d\u0930\u0924\u093f\u0930\u094b\u0927\u094b\u0902 \u0915\u094b \u0938\u092e\u093e\u0928\u093e\u0902\u0924\u0930 \u092e\u0947\u0902 \u091c\u094b\u0921\u093c\u0928\u0947 \u0915\u093e \u0924\u0930\u0940\u0915\u093e: \u0938\u0930\u0932 \u091a\u0930\u0923\u094b\u0902 \u092e\u0947\u0902 \u0938\u0940\u0916\u0947\u0902, \u0935\u093f\u0926\u094d\u092f\u0941\u0924 \u092a\u0930\u093f\u092a\u0925 \u092e\u0947\u0902 \u092a\u094d\u0930\u0924\u093f\u0930\u094b\u0927 \u0915\u094b \u0915\u092e \u0915\u0930\u0928\u0947 \u0914\u0930 \u0935\u093f\u0926\u094d\u092f\u0941\u0924 \u092a\u094d\u0930\u0935\u093e\u0939 \u0915\u094b \u092c\u0922\u093c\u093e\u0928\u0947 \u0915\u0947 \u0932\u093e\u092d \u0938\u092e\u091d\u0947\u0902\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-306271","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\u094d\u0930\u0924\u093f\u0930\u094b\u0927\u094b\u0902 \u0915\u094b \u0938\u092e\u093e\u0928\u093e\u0902\u0924\u0930 \u092e\u0947\u0902 \u0915\u0948\u0938\u0947 \u091c\u094b\u0921\u093c\u0947\u0902?<\/title>\n<meta name=\"description\" content=\"\u092a\u094d\u0930\u0924\u093f\u0930\u094b\u0927\u094b\u0902 \u0915\u094b \u0938\u092e\u093e\u0928\u093e\u0902\u0924\u0930 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