{"id":298272,"date":"2024-08-17T11:08:42","date_gmt":"2024-08-17T11:08:42","guid":{"rendered":"https:\/\/www.electricity-magnetism.org\/?p=298272"},"modified":"2024-09-07T15:53:12","modified_gmt":"2024-09-07T15:53:12","slug":"%e0%a4%86%e0%a4%b0%e0%a4%b8%e0%a5%80-%e0%a4%b8%e0%a4%b0%e0%a5%8d%e0%a4%95%e0%a4%bf%e0%a4%9f-%e0%a4%ae%e0%a5%87%e0%a4%82-%e0%a4%95%e0%a5%88%e0%a4%aa%e0%a5%87%e0%a4%b8%e0%a4%bf%e0%a4%9f%e0%a4%b0","status":"publish","type":"post","link":"https:\/\/www.electricity-magnetism.org\/hi\/%e0%a4%86%e0%a4%b0%e0%a4%b8%e0%a5%80-%e0%a4%b8%e0%a4%b0%e0%a5%8d%e0%a4%95%e0%a4%bf%e0%a4%9f-%e0%a4%ae%e0%a5%87%e0%a4%82-%e0%a4%95%e0%a5%88%e0%a4%aa%e0%a5%87%e0%a4%b8%e0%a4%bf%e0%a4%9f%e0%a4%b0\/","title":{"rendered":"\u0906\u0930\u0938\u0940 \u0938\u0930\u094d\u0915\u093f\u091f \u092e\u0947\u0902 \u0915\u0948\u092a\u0947\u0938\u093f\u091f\u0930 \u0915\u0947 \u091a\u093e\u0930\u094d\u091c\u093f\u0902\u0917 \u0914\u0930 \u0921\u093f\u0938\u094d\u091a\u093e\u0930\u094d\u091c\u093f\u0902\u0917 \u0915\u093e \u0935\u093f\u0936\u094d\u0932\u0947\u0937\u0923 \u0915\u0948\u0938\u0947 \u0915\u0930\u0947\u0902?"},"content":{"rendered":"

\u0906\u0930\u0938\u0940 \u0938\u0930\u094d\u0915\u093f\u091f \u092e\u0947\u0902 \u0915\u0948\u092a\u0947\u0938\u093f\u091f\u0930 \u0915\u0947 \u091a\u093e\u0930\u094d\u091c\u093f\u0902\u0917 \u0914\u0930 \u0921\u093f\u0938\u094d\u091a\u093e\u0930\u094d\u091c\u093f\u0902\u0917 \u0915\u093e \u0935\u093f\u0936\u094d\u0932\u0947\u0937\u0923: \u0906\u0930\u0938\u0940 \u0938\u0930\u094d\u0915\u093f\u091f \u0915\u0947 \u0915\u093e\u0930\u094d\u092f \u0938\u093f\u0926\u094d\u0927\u093e\u0902\u0924, \u091a\u093e\u0930\u094d\u091c\u093f\u0902\u0917 \u0938\u092e\u092f, \u0914\u0930 \u0921\u093f\u0938\u094d\u091a\u093e\u0930\u094d\u091c\u093f\u0902\u0917 \u092a\u094d\u0930\u0915\u094d\u0930\u093f\u092f\u093e \u0915\u0940 \u0938\u092e\u091d\u0964<\/p>\n

\u0906\u0930\u0938\u0940 \u0938\u0930\u094d\u0915\u093f\u091f \u092e\u0947\u0902 \u0915\u0948\u092a\u0947\u0938\u093f\u091f\u0930 \u0915\u0947 \u091a\u093e\u0930\u094d\u091c\u093f\u0902\u0917 \u0914\u0930 \u0921\u093f\u0938\u094d\u091a\u093e\u0930\u094d\u091c\u093f\u0902\u0917 \u0915\u093e \u0935\u093f\u0936\u094d\u0932\u0947\u0937\u0923 \u0915\u0948\u0938\u0947 \u0915\u0930\u0947\u0902?<\/h2>\n

\u0906\u0930\u0938\u0940 \u0938\u0930\u094d\u0915\u093f\u091f (RC Circuit), \u091c\u093f\u0938\u092e\u0947\u0902 \u090f\u0915 \u0915\u0948\u092a\u0947\u0938\u093f\u091f\u0930 (Capacitor) \u0914\u0930 \u090f\u0915 \u0930\u0947\u0938\u093f\u0938\u094d\u091f\u0930 (Resistor) \u0938\u0940\u0930\u0940\u091c\u093c \u092e\u0947\u0902 \u091c\u0941\u0921\u093c\u0947 \u0939\u094b\u0924\u0947 \u0939\u0948\u0902, \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 \u0907\u0932\u0947\u0915\u094d\u091f\u094d\u0930\u0949\u0928\u093f\u0915\u094d\u0938 \u092e\u0947\u0902 \u092a\u094d\u0930\u092e\u0941\u0916\u0924\u093e \u0938\u0947 \u0939\u094b\u0924\u093e \u0939\u0948\u0964 \u092f\u0939 \u0938\u0930\u094d\u0915\u093f\u091f \u0938\u092e\u092f-\u0928\u093f\u0930\u094d\u092d\u0930 \u0935\u094d\u092f\u0935\u0939\u093e\u0930 \u0926\u093f\u0916\u093e\u0924\u093e \u0939\u0948 \u091c\u0939\u093e\u0902 \u0915\u0948\u092a\u0947\u0938\u093f\u091f\u0930 \u091a\u093e\u0930\u094d\u091c \u0914\u0930 \u0921\u093f\u0938\u094d\u091a\u093e\u0930\u094d\u091c \u0939\u094b\u0924\u093e \u0939\u0948\u0964<\/p>\n

\u0915\u0948\u092a\u0947\u0938\u093f\u091f\u0930 \u0915\u093e \u091a\u093e\u0930\u094d\u091c\u093f\u0902\u0917<\/h2>\n

\u091c\u092c \u0939\u092e \u090f\u0915 \u0915\u0948\u092a\u0947\u0938\u093f\u091f\u0930 \u0915\u094b \u090f\u0915 \u0935\u093f\u0938\u094d\u0938\u093f\u0938\u094d\u091f\u094b\u0930 \u0914\u0930 \u090f\u0915 \u0921\u0940\u0938\u0940 \u0938\u094d\u0930\u094b\u0924 (DC Source) \u0915\u0947 \u0938\u093e\u0925 \u0915\u0928\u0947\u0915\u094d\u091f \u0915\u0930\u0924\u0947 \u0939\u0948\u0902, \u0924\u094b \u0915\u0948\u092a\u0947\u0938\u093f\u091f\u0930 \u091a\u093e\u0930\u094d\u091c \u0939\u094b\u0928\u0947 \u0932\u0917\u0924\u093e \u0939\u0948\u0964 \u091a\u093e\u0930\u094d\u091c\u093f\u0902\u0917 \u092a\u094d\u0930\u0915\u094d\u0930\u093f\u092f\u093e \u0915\u094b \u0938\u092e\u091d\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f \u0939\u092e\u0947\u0902 Kirchhoff \u0915\u093e \u0935\u094b\u0932\u094d\u091f\u0947\u091c \u0932\u0949 (Kirchhoff’s Voltage Law) \u0909\u092a\u092f\u094b\u0917 \u092e\u0947\u0902 \u0932\u0947\u0928\u093e \u092a\u0921\u093c\u0924\u093e \u0939\u0948\u0964 \u092f\u0939 \u0915\u093e\u0928\u0942\u0928 \u0915\u0939\u0924\u093e \u0939\u0948 \u0915\u093f \u0915\u093f\u0938\u0940 \u092d\u0940 \u092c\u0902\u0926 \u0918\u0947\u0930\u093e \u092e\u0947\u0902, \u0935\u094b\u0932\u094d\u091f\u0947\u091c \u0915\u093e \u092f\u094b\u0917 \u0936\u0942\u0928\u094d\u092f \u0939\u094b\u0928\u093e \u091a\u093e\u0939\u093f\u090f:<\/p>\n

Vsource<\/sub> = VR<\/sub> + VC<\/sub><\/p>\n

\u0924\u094b,<\/p>\n

V = IR + \\(\\frac{Q}{C}\\)<\/p>\n

\u091c\u0939\u093e\u0902,<\/p>\n

<\/p>\n

  • V = \u0938\u094d\u0930\u094b\u0924 \u0935\u094b\u0932\u094d\u091f\u0947\u091c<\/li>\n
  • I = \u0927\u093e\u0930\u093e (Current)<\/li>\n
  • R = \u0930\u0947\u0938\u093f\u0938\u094d\u091f\u0930<\/li>\n
  • Q = \u0915\u0948\u092a\u0947\u0938\u093f\u091f\u0930 \u092a\u0930 \u091a\u093e\u0930\u094d\u091c<\/li>\n
  • C = \u0915\u0948\u092a\u0947\u0938\u093f\u091f\u0930 \u0915\u093e \u0915\u094d\u0937\u092e\u0924\u093e (Capacitance)<\/li>\n

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

    \u091a\u093e\u0930\u094d\u091c\u093f\u0902\u0917 \u092a\u094d\u0930\u0915\u094d\u0930\u093f\u092f\u093e \u092e\u0947\u0902 \u0935\u094b\u0932\u094d\u091f\u0947\u091c \u0938\u092e\u092f \u0915\u0947 \u0938\u093e\u0925 \u092c\u0926\u0932\u0924\u093e \u0939\u0948 \u0914\u0930 \u092f\u0939 \u0928\u093f\u092e\u094d\u0928\u0932\u093f\u0916\u093f\u0924 \u0938\u092e\u0940\u0915\u0930\u0923 \u0926\u094d\u0935\u093e\u0930\u093e \u0926\u0930\u094d\u0936\u093e\u092f\u093e \u091c\u093e\u0924\u093e \u0939\u0948:<\/p>\n

    Q(t) = C * V * (1 – e-t\/RC<\/sup>)<\/p>\n

    \u091c\u0939\u093e\u0902,<\/p>\n

    <\/p>\n

  • Q(t) = \u0938\u092e\u092f t \u092a\u0930 \u0915\u0948\u092a\u0947\u0938\u093f\u091f\u0930 \u092a\u0930 \u091a\u093e\u0930\u094d\u091c<\/li>\n
  • e = \u0917\u0923\u093f\u0924\u0940\u092f \u0938\u094d\u0925\u093f\u0930 e (\u0932\u0917\u092d\u0917 2.718)<\/li>\n
  • t = \u0938\u092e\u092f<\/li>\n

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

    \u0915\u0948\u092a\u0947\u0938\u093f\u091f\u0930 \u0915\u093e \u0921\u093f\u0938\u094d\u091a\u093e\u0930\u094d\u091c\u093f\u0902\u0917<\/h2>\n

    \u091c\u092c \u0915\u0948\u092a\u0947\u0938\u093f\u091f\u0930 \u0915\u094b \u0915\u093f\u0938\u0940 \u0930\u0947\u0938\u093f\u0938\u094d\u091f\u0930 \u0915\u0947 \u092e\u093e\u0927\u094d\u092f\u092e \u0938\u0947 \u0921\u093f\u0938\u094d\u091a\u093e\u0930\u094d\u091c \u0915\u0930\u0924\u0947 \u0939\u0948\u0902, \u0924\u094b \u092a\u094d\u0930\u0915\u094d\u0930\u093f\u092f\u093e \u0935\u093f\u092a\u0930\u0940\u0924 \u0939\u094b\u0924\u0940 \u0939\u0948\u0964 \u0907\u0938 \u092e\u093e\u092e\u0932\u0947 \u092e\u0947\u0902, Kirchhoff \u0915\u093e \u0935\u094b\u0932\u094d\u091f\u0947\u091c \u0932\u0949 \u092f\u0939 \u0939\u094b\u0917\u093e:<\/p>\n

    VR<\/sub> + VC<\/sub> = 0<\/p>\n

    \u0924\u094b,<\/p>\n

    IR + \\(\\frac{Q}{C}\\) = 0<\/p>\n

    \u0938\u092e\u092f t \u092a\u0930 \u0921\u093f\u0938\u094d\u091a\u093e\u0930\u094d\u091c\u093f\u0902\u0917 \u0935\u094b\u0932\u094d\u091f\u0947\u091c \u0914\u0930 \u091a\u093e\u0930\u094d\u091c \u0907\u0938 \u092a\u094d\u0930\u0915\u093e\u0930 \u0939\u094b\u0902\u0917\u0947:<\/p>\n

    Q(t) = Q0<\/sub> * e-t\/RC<\/sup> <\/p>\n

    \u091c\u0939\u093e\u0902,<\/p>\n

    <\/p>\n

  • Q0<\/sub> = \u092a\u094d\u0930\u093e\u0930\u0902\u092d\u093f\u0915 \u091a\u093e\u0930\u094d\u091c<\/li>\n
  • Q(t) = \u0938\u092e\u092f t \u092a\u0930 \u0915\u0948\u092a\u0947\u0938\u093f\u091f\u0930 \u092a\u0930 \u091a\u093e\u0930\u094d\u091c<\/li>\n

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

    \u0938\u092e\u092f \u0938\u094d\u0925\u093f\u0930\u093e\u0902\u0915 (Time Constant)<\/h2>\n

    \u0906\u0930\u0938\u0940 \u0938\u0930\u094d\u0915\u093f\u091f \u092e\u0947\u0902 \u090f\u0915 \u092e\u0939\u0924\u094d\u0935\u092a\u0942\u0930\u094d\u0923 \u0905\u0935\u0927\u093e\u0930\u0923\u093e \u0939\u0948 \u0938\u092e\u092f \u0938\u094d\u0925\u093f\u0930\u093e\u0902\u0915 (Time Constant), \u091c\u093f\u0938\u0947 \\( \\tau \\) (\u091f\u093e\u0913) \u0926\u094d\u0935\u093e\u0930\u093e \u0926\u0930\u094d\u0936\u093e\u092f\u093e \u091c\u093e\u0924\u093e \u0939\u0948:<\/p>\n

    \\( \\tau = R * C \\)<\/p>\n

    \u092f\u0939 \u0938\u092e\u092f \u0938\u094d\u0925\u093f\u0930\u093e\u0902\u0915 \u092f\u0939 \u0928\u093f\u0930\u094d\u0927\u093e\u0930\u093f\u0924 \u0915\u0930\u0924\u093e \u0939\u0948 \u0915\u093f \u0938\u0930\u094d\u0915\u093f\u091f \u0915\u093f\u0924\u0928\u0940 \u0924\u0947\u091c\u0940 \u0938\u0947 \u092a\u094d\u0930\u0924\u093f\u0915\u094d\u0930\u093f\u092f\u093e \u0915\u0930\u0947\u0917\u093e\u0964 \u092f\u0939 \u092e\u0939\u0924\u094d\u0935\u092a\u0942\u0930\u094d\u0923 \u0939\u0948 \u0915\u093f \u0938\u092e\u092f t = \\( \\tau \\) \u0915\u0947 \u092c\u093e\u0926, \u0915\u0948\u092a\u0947\u0938\u093f\u091f\u0930 \u0905\u092a\u0928\u093e \u0932\u0917\u092d\u0917 63% \u091a\u093e\u0930\u094d\u091c \u0915\u0930 \u091a\u0941\u0915\u093e \u0939\u094b\u0924\u093e \u0939\u0948 \u092f\u093e \u0921\u093f\u0938\u094d\u091a\u093e\u0930\u094d\u091c\u093f\u0902\u0917 \u092e\u0947\u0902, \u0936\u0941\u0930\u0942\u0906\u0924\u0940 \u091a\u093e\u0930\u094d\u091c \u0915\u093e 37% \u0936\u0947\u0937 \u0939\u094b\u0924\u093e \u0939\u0948\u0964<\/p>\n

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

    \u0906\u0930\u0938\u0940 \u0938\u0930\u094d\u0915\u093f\u091f \u092e\u0947\u0902 \u0915\u0948\u092a\u0947\u0938\u093f\u091f\u0930 \u0915\u0940 \u091a\u093e\u0930\u094d\u091c\u093f\u0902\u0917 \u0914\u0930 \u0921\u093f\u0938\u094d\u091a\u093e\u0930\u094d\u091c\u093f\u0902\u0917 \u092a\u094d\u0930\u0915\u094d\u0930\u093f\u092f\u093e\u0913\u0902 \u0915\u094b \u0938\u092e\u091d\u0928\u093e \u0935\u093f\u0926\u094d\u092f\u0941\u0924 \u092a\u0930\u093f\u092a\u0925\u094b\u0902 \u0915\u0947 \u0935\u093f\u0936\u094d\u0932\u0947\u0937\u0923 \u092e\u0947\u0902 \u092e\u0939\u0924\u094d\u0935\u092a\u0942\u0930\u094d\u0923 \u0939\u0948\u0964 \u0938\u092e\u092f \u0915\u0947 \u0938\u093e\u0925 \u0935\u094b\u0932\u094d\u091f\u0947\u091c \u0914\u0930 \u091a\u093e\u0930\u094d\u091c \u0915\u093e \u092a\u0930\u093f\u0935\u0930\u094d\u0924\u0928 \u0905\u0927\u094d\u092f\u092f\u0928 \u0915\u0930\u0928\u0947 \u0938\u0947, \u0939\u092e \u0938\u0930\u094d\u0915\u093f\u091f \u0915\u0947 \u0935\u094d\u092f\u0935\u0939\u093e\u0930 \u0915\u0940 \u092c\u0947\u0939\u0924\u0930 \u0938\u092e\u091d \u092a\u094d\u0930\u093e\u092a\u094d\u0924 \u0915\u0930 \u0938\u0915\u0924\u0947 \u0939\u0948\u0902 \u0914\u0930 \u0907\u0938\u0915\u093e \u0909\u092a\u092f\u094b\u0917 \u0935\u093f\u092d\u093f\u0928\u094d\u0928 \u0907\u0932\u0947\u0915\u094d\u091f\u094d\u0930\u0949\u0928\u093f\u0915 \u0905\u0928\u0941\u092a\u094d\u0930\u092f\u094b\u0917\u094b\u0902 \u092e\u0947\u0902 \u0915\u0930 \u0938\u0915\u0924\u0947 \u0939\u0948\u0902\u0964<\/p>\n

    Summary<\/h2>\n

    \"\u0906\u0930\u0938\u0940<\/p>\n","protected":false},"excerpt":{"rendered":"

    \u0906\u0930\u0938\u0940 \u0938\u0930\u094d\u0915\u093f\u091f \u092e\u0947\u0902 \u0915\u0948\u092a\u0947\u0938\u093f\u091f\u0930 \u0915\u0947 \u091a\u093e\u0930\u094d\u091c\u093f\u0902\u0917 \u0914\u0930 \u0921\u093f\u0938\u094d\u091a\u093e\u0930\u094d\u091c\u093f\u0902\u0917 \u0915\u093e \u0935\u093f\u0936\u094d\u0932\u0947\u0937\u0923: \u0906\u0930\u0938\u0940 \u0938\u0930\u094d\u0915\u093f\u091f \u0915\u0947 \u0915\u093e\u0930\u094d\u092f \u0938\u093f\u0926\u094d\u0927\u093e\u0902\u0924, \u091a\u093e\u0930\u094d\u091c\u093f\u0902\u0917 \u0938\u092e\u092f, \u0914\u0930 \u0921\u093f\u0938\u094d\u091a\u093e\u0930\u094d\u091c\u093f\u0902\u0917 \u092a\u094d\u0930\u0915\u094d\u0930\u093f\u092f\u093e \u0915\u0940 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