{"id":1124,"date":"2025-09-24T20:14:44","date_gmt":"2025-09-24T16:44:44","guid":{"rendered":"https:\/\/ilk.ir\/sahifa\/?p=1124"},"modified":"2025-10-03T20:01:49","modified_gmt":"2025-10-03T16:31:49","slug":"%d9%85%d9%82%d8%a7%d9%88%d9%85%d8%aa-%d8%af%d8%a7%d8%ae%d9%84%db%8c-%d9%85%d9%86%d8%a8%d8%b9-%d9%88%d9%84%d8%aa%d8%a7%da%98","status":"publish","type":"post","link":"https:\/\/ilk.ir\/sahifa\/world\/%d8%a7%d9%84%da%a9%d8%aa%d8%b1%d9%88%d9%86%db%8c%da%a9\/%d9%85%d9%82%d8%a7%d9%88%d9%85%d8%aa-%d8%af%d8%a7%d8%ae%d9%84%db%8c-%d9%85%d9%86%d8%a8%d8%b9-%d9%88%d9%84%d8%aa%d8%a7%da%98\/","title":{"rendered":"\u0645\u062d\u0627\u0633\u0628\u0647 \u0645\u0642\u0627\u0648\u0645\u062a \u062f\u0627\u062e\u0644\u06cc (r) \u06cc\u06a9 \u0645\u0646\u0628\u0639 \u0648\u0644\u062a\u0627\u0698 \u0645\u0633\u062a\u0642\u06cc\u0645"},"content":{"rendered":"\n<h1 class=\"wp-block-heading\">\u0645\u062d\u0627\u0633\u0628\u0647 \u0645\u0642\u0627\u0648\u0645\u062a \u062f\u0627\u062e\u0644\u06cc \u0645\u0646\u0628\u0639 (\u0628\u0647 \u0632\u0628\u0627\u0646 \u0633\u0627\u062f\u0647)<\/h1>\n\n\n\n<p>\u0627\u06af\u0631 \u0645\u0646\u0628\u0639 \u0648\u0644\u062a\u0627\u0698\u0650 \u0634\u0645\u0627 \u062a\u062d\u062a \u0628\u0627\u0631 \u0627\u0641\u062a \u0648\u0644\u062a\u0627\u0698 \u0646\u0634\u0627\u0646 \u0645\u06cc\u200c\u062f\u0647\u062f\u060c \u0645\u06cc\u200c\u062a\u0648\u0627\u0646 \u0645\u0642\u0627\u0648\u0645\u062a \u062f\u0627\u062e\u0644\u06cc (r) \u0622\u0646 \u0631\u0627 \u0628\u0627 \u0631\u0648\u0634\u200c\u0647\u0627\u06cc \u0633\u0627\u062f\u0647\u200c\u0627\u06cc \u0645\u062d\u0627\u0633\u0628\u0647 \u06a9\u0631\u062f. \u0627\u0635\u0648\u0644 \u06a9\u0644\u06cc \u0648 \u0641\u0631\u0645\u0648\u0644\u200c\u0647\u0627 \u062f\u0631 \u0627\u062f\u0627\u0645\u0647 \u0647\u0633\u062a\u0646\u062f.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">\u0627\u06cc\u062f\u0647\u200c\u06cc \u067e\u0627\u06cc\u0647 (\u0645\u062f\u0644 \u062a\u0650\u0648\u0646\u0650\u0646)<\/h2>\n\n\n\n<p>\u0645\u0646\u0628\u0639 \u0648\u0627\u0642\u0639\u06cc \u0631\u0627 \u0645\u06cc\u200c\u062a\u0648\u0627\u0646 \u0628\u0647 \u06cc\u06a9 \u0648\u0644\u062a\u0627\u0698 \u0627\u06cc\u062f\u0647\u200c\u0622\u0644 VocV_{oc} (\u0648\u0644\u062a\u0627\u0698 \u0628\u062f\u0648\u0646 \u0628\u0627\u0631 = open-circuit) \u0648 \u06cc\u06a9 \u0645\u0642\u0627\u0648\u0645\u062a \u062f\u0627\u062e\u0644\u06cc rr \u0633\u0631\u06cc \u0645\u062f\u0644\u200c\u0633\u0627\u0632\u06cc \u06a9\u0631\u062f. \u0648\u0642\u062a\u06cc \u0628\u0627\u0631 RLR_L \u0648\u0635\u0644 \u0645\u06cc\u200c\u06a9\u0646\u06cc\u062f:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u062c\u0631\u06cc\u0627\u0646 $$ I=VloadRLI=\\dfrac{V_{load}}{R_L}  $$<\/li>\n\n\n\n<li>\u0648\u0644\u062a\u0627\u0698 \u0631\u0648\u06cc \u062a\u0631\u0645\u06cc\u0646\u0627\u0644\u200c\u0647\u0627 $$ Vload=Voc\u2212I\u22c5rV_{load}=V_{oc}-I\\cdot r $$<\/li>\n<\/ul>\n\n\n\n<p>\u067e\u0633 \u0633\u0627\u062f\u0647\u200c\u062a\u0631\u06cc\u0646 \u0641\u0631\u0645\u0648\u0644: $$ r=Voc\u2212VloadI\\boxed{r=\\dfrac{V_{oc}-V_{load}}{I}} $$<\/p>\n\n\n\n<p>\u06a9\u0647 $$ II $$ \u0647\u0645\u0627\u0646 \u062c\u0631\u06cc\u0627\u0646 \u0639\u0628\u0648\u0631\u06cc \u0627\u0632 \u0628\u0627\u0631 \u0627\u0633\u062a.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading\">\u06af\u0627\u0645\u200c\u0628\u0647\u200c\u06af\u0627\u0645 \u0627\u0646\u062f\u0627\u0632\u0647\u200c\u06af\u06cc\u0631\u06cc \u0633\u0627\u062f\u0647<\/h2>\n\n\n\n<ol class=\"wp-block-list\">\n<li>\u0628\u062f\u0648\u0646 \u0647\u06cc\u0686 \u0628\u0627\u0631\u06cc\u060c \u0648\u0644\u062a\u200c\u0645\u062a\u0631 \u0631\u0627 \u0628\u0647 \u062a\u0631\u0645\u06cc\u0646\u0627\u0644\u200c\u0647\u0627 \u0648\u0635\u0644 \u06a9\u0646\u06cc\u062f \u0648 VocV_{oc} \u0631\u0627 \u0628\u062e\u0648\u0627\u0646\u06cc\u062f.<\/li>\n\n\n\n<li>\u06cc\u06a9 \u0628\u0627\u0631 \u0645\u0639\u0644\u0648\u0645 RLR_L \u0628\u0647 \u0645\u0646\u0628\u0639 \u0648\u0635\u0644 \u06a9\u0646\u06cc\u062f (\u0645\u0642\u0627\u0648\u0645\u062a\u200c\u0627\u06cc\u0645\u0646 \u0648 \u0645\u0646\u0627\u0633\u0628)\u060c \u0648\u0644\u062a\u0627\u0698 \u062a\u0631\u0645\u06cc\u0646\u0627\u0644\u200c\u0647\u0627\u06cc \u062a\u062d\u062a \u0628\u0627\u0631 VloadV_{load} \u0631\u0627 \u0628\u062e\u0648\u0627\u0646\u06cc\u062f.<\/li>\n\n\n\n<li>\u0645\u062d\u0627\u0633\u0628\u0647 \u062c\u0631\u06cc\u0627\u0646 $$ I=Vload\/RLI = V_{load}\/R_L. $$<\/li>\n\n\n\n<li>\u062d\u0627\u0644\u0627 $$ r=(Voc\u2212Vload)\/Ir=(V_{oc}-V_{load})\/I. $$<\/li>\n<\/ol>\n\n\n\n<h3 class=\"wp-block-heading\">\u0645\u062b\u0627\u0644 \u0639\u062f\u062f\u06cc<\/h3>\n\n\n\n<p>\u0641\u0631\u0636 \u06a9\u0646:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>$$ Voc=12.6&nbsp;VV_{oc}=12.6\\ \\text{V}  $$<\/li>\n\n\n\n<li>$$ RL=10&nbsp;\u03a9R_L=10\\ \\Omega $$<\/li>\n\n\n\n<li>\u0632\u06cc\u0631 \u0628\u0627\u0631 \u0648\u0644\u062a\u0627\u0698 $$ Vload=11.2&nbsp;VV_{load}=11.2\\ \\text{V} $$<\/li>\n\n\n\n<li>$$ V_{load} = V_{oc} &#8211; I \\cdot r $$<\/li>\n<\/ul>\n\n\n\n<p>\u0622\u0646\u06af\u0627\u0647 $$ I=11.2\/10=1.12\u00a0AI=11.2\/10 = 1.12\\ \\text{A} $$ \u0648 $$r=(12.6\u221211.2)\/1.12=1.25\u00a0\u03a9.r=(12.6-11.2)\/1.12 = 1.25\\ \\Omega. $$<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading\">\u0627\u06af\u0631 \u0646\u062a\u0648\u0627\u0646\u06cc\u062f $$ VocV_{oc} $$ \u0631\u0627 \u062f\u0642\u06cc\u0642 \u0627\u0646\u062f\u0627\u0632\u0647 \u0628\u06af\u06cc\u0631\u06cc\u062f (\u06cc\u0627 \u062f\u0642\u062a \u0628\u0627\u0644\u0627\u062a\u0631 \u0645\u06cc\u062e\u0648\u0627\u0647\u06cc\u062f)<\/h2>\n\n\n\n<p>\u0645\u06cc\u200c\u062a\u0648\u0627\u0646\u06cc\u062f \u062f\u0648 \u0628\u0627\u0631 \u0645\u062e\u062a\u0644\u0641 $$ R1R_1 $$ \u0648 $$ R2R_2 $$ \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u06a9\u0646\u06cc\u062f \u0648 \u0648\u0644\u062a\u0627\u0698\u0647\u0627\u06cc $$ V1V_1 $$ \u0648 $$ V2V_2 $$ \u0631\u0627 \u0632\u06cc\u0631 \u0647\u0631 \u0628\u0627\u0631 \u0627\u0646\u062f\u0627\u0632\u0647 \u0628\u0632\u0646\u06cc\u062f. \u0633\u067e\u0633: $$ I1=V1R1,I2=V2R2I_1=\\frac{V_1}{R_1},\\quad I_2=\\frac{V_2}{R_2} $$<\/p>\n\n\n\n<p>\u0648 $$ r=V1\u2212V2I2\u2212I1\\boxed{r=\\dfrac{V_1-V_2}{I_2-I_1}} $$<\/p>\n\n\n\n<p>\u06cc\u0627 \u0628\u0647 \u0635\u0648\u0631\u062a \u0645\u0633\u062a\u0642\u06cc\u0645 \u0628\u0627 $$ RR-$$ \u0647\u0627: $$ r=V1\u2212V2V2R2\u2212V1R1.r=\\dfrac{V_1-V_2}{\\dfrac{V_2}{R_2}-\\dfrac{V_1}{R_1}}. $$<\/p>\n\n\n\n<p> \u0627\u06cc\u0646 \u0631\u0648\u0634 \u0648\u0642\u062a\u06cc \u0648\u0644\u062a\u200c\u0645\u062a\u0631\/\u0622\u0645\u067e\u0631\u0645\u062a\u0631 \u0634\u0645\u0627 \u0627\u062b\u0631 \u062e\u0648\u062f \u0631\u0627 (\u0628\u0627\u0631 \u0627\u0646\u062f\u0627\u0632\u0647\u200c\u06af\u06cc\u0631\u06cc) \u0648\u0627\u0631\u062f \u0645\u06cc\u200c\u06a9\u0646\u062f \u06cc\u0627 $$ VocV_{oc} $$ \u0633\u0631\u06cc\u0639 \u062a\u063a\u06cc\u06cc\u0631 \u0645\u06cc\u200c\u06a9\u0646\u062f\u060c \u0645\u0641\u06cc\u062f \u0627\u0633\u062a.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading\">\u0631\u0648\u0634 \u062f\u06cc\u06af\u0631: \u062c\u0631\u06cc\u0627\u0646 \u0627\u062a\u0635\u0627\u0644 \u06a9\u0648\u062a\u0627\u0647 (\u0627\u062d\u062a\u06cc\u0627\u0637!)<\/h2>\n\n\n\n<p>\u0627\u06af\u0631 \u0628\u062a\u0648\u0627\u0646\u06cc\u062f \u062c\u0631\u06cc\u0627\u0646 \u0627\u062a\u0635\u0627\u0644 \u06a9\u0648\u062a\u0627\u0647 $$ IscI_{sc} $$ \u0631\u0627 (\u0645\u0648\u0642\u062a\u0627 \u0648 \u0627\u06cc\u0645\u0646) \u0627\u0646\u062f\u0627\u0632\u0647 \u0628\u06af\u06cc\u0631\u06cc\u062f\u060c \u0622\u0646\u06af\u0627\u0647:<\/p>\n\n\n\n<p>$$ r=VocIscr=\\dfrac{V_{oc}}{I_{sc}} $$<\/p>\n\n\n\n<p>\u0627\u0645\u0627 \u0647\u0634\u062f\u0627\u0631: \u0627\u062a\u0635\u0627\u0644 \u06a9\u0648\u062a\u0627\u0647 \u0645\u06cc\u200c\u062a\u0648\u0627\u0646\u062f \u062c\u0631\u06cc\u0627\u0646 \u062e\u06cc\u0644\u06cc \u0628\u0632\u0631\u06af\u06cc \u0628\u062f\u0647\u062f \u0648 \u0628\u0627\u062a\u0631\u06cc\/\u0645\u0646\u0628\u0639 \u0622\u0633\u06cc\u0628 \u0628\u0628\u06cc\u0646\u062f \u06cc\u0627 \u062e\u0637\u0631 \u0622\u062a\u0634\/\u06af\u0631\u0645\u0627 \u0627\u06cc\u062c\u0627\u062f \u06a9\u0646\u062f. \u0627\u06cc\u0646 \u0631\u0648\u0634 \u0631\u0627 \u0641\u0642\u0637 \u0628\u0627 \u062a\u062c\u0647\u06cc\u0632\u0627\u062a \u0645\u0646\u0627\u0633\u0628 \u0648 \u0627\u062d\u062a\u06cc\u0627\u0637 \u0627\u0646\u062c\u0627\u0645 \u062f\u0647\u06cc\u062f.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"890\" height=\"466\" src=\"https:\/\/ilk.ir\/sahifa\/wp-content\/uploads\/internal_resistance.webp\" alt=\"\" class=\"wp-image-1133\" title=\"\" srcset=\"https:\/\/ilk.ir\/sahifa\/wp-content\/uploads\/internal_resistance.webp 890w, https:\/\/ilk.ir\/sahifa\/wp-content\/uploads\/internal_resistance-300x157.webp 300w, https:\/\/ilk.ir\/sahifa\/wp-content\/uploads\/internal_resistance-768x402.webp 768w\" sizes=\"auto, (max-width: 890px) 100vw, 890px\" \/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\">\u0646\u06a9\u0627\u062a \u0639\u0645\u0644\u06cc \u0648 \u062f\u0642\u062a<\/h2>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u0622\u0645\u067e\u0631\u0645\u062a\u0631 \u0631\u0627 \u0628\u0647 \u0635\u0648\u0631\u062a \u0633\u0631\u06cc \u0648 \u0648\u0644\u062a\u200c\u0645\u062a\u0631 \u0628\u0627 \u0648\u0631\u0648\u062f\u06cc \u0628\u0627\u0644\u0627 (\u0628\u0631\u0627\u06cc \u0648\u0644\u062a\u0627\u0698\u0647\u0627) \u0628\u0647 \u0635\u0648\u0631\u062a \u0645\u0648\u0627\u0632\u06cc \u0648\u0635\u0644 \u06a9\u0646\u06cc\u062f \u062a\u0627 \u062e\u0637\u0627\u06cc \u0627\u0646\u062f\u0627\u0632\u0647\u200c\u06af\u06cc\u0631\u06cc \u06a9\u0645 \u0634\u0648\u062f.<\/li>\n\n\n\n<li>\u0627\u06af\u0631 \u0622\u0645\u067e\u0631\u0645\u062a\u0631 \u062f\u0627\u0631\u0627\u06cc \u0628\u0627\u0631 \u062f\u0627\u062e\u0644\u06cc \u0628\u0632\u0631\u06af \u0627\u0633\u062a\u060c \u0627\u0646\u062f\u0627\u0632\u0647\u200c\u06af\u06cc\u0631\u06cc \u0628\u0627 \u06cc\u06a9 \u0645\u0642\u0627\u0648\u0645\u062a \u0628\u0627\u0631 \u062f\u0642\u06cc\u0642 \u0648 \u0645\u062d\u0627\u0633\u0628\u0647 \u062c\u0631\u06cc\u0627\u0646 \u0627\u0632 \u0648\u0644\u062a\u0627\u0698 \u0631\u0648\u06cc \u0627\u06cc\u0646 \u0645\u0642\u0627\u0648\u0645\u062a \u0645\u0639\u0645\u0648\u0644\u0627\u064b \u0628\u0647\u062a\u0631 \u0627\u0633\u062a.<\/li>\n\n\n\n<li>\u0645\u0642\u0627\u0648\u0645\u062a \u062f\u0627\u062e\u0644\u06cc \u0628\u0627\u062a\u0631\u06cc\u200c\u0647\u0627 \u0648\u0627\u0628\u0633\u062a\u0647 \u0628\u0647 \u0648\u0636\u0639\u06cc\u062a \u0634\u0627\u0631\u0698\u060c \u062f\u0645\u0627 \u0648 \u0633\u0646 \u0627\u0633\u062a \u2014 \u0645\u0642\u062f\u0627\u0631 \u0631\u0627 \u062f\u0631 \u0634\u0631\u0627\u06cc\u0637 \u06a9\u0627\u0631\u06cc \u0648\u0627\u0642\u0639\u06cc \u0627\u0646\u062f\u0627\u0632\u0647 \u0628\u06af\u06cc\u0631\u06cc\u062f.<\/li>\n\n\n\n<li>\u0628\u0631\u0627\u06cc \u062f\u0627\u062f\u0647\u200c\u0647\u0627\u06cc \u062f\u0642\u06cc\u0642\u200c\u062a\u0631\u060c \u0686\u0646\u062f \u0646\u0642\u0637\u0647 (\u0628\u0627\u0631\u0647\u0627\u06cc \u0645\u062e\u062a\u0644\u0641) \u062a\u0633\u062a \u06a9\u0646\u06cc\u062f \u0648 VV \u0628\u0631 \u062d\u0633\u0628 II \u0631\u0627 \u0631\u0633\u0645 \u06a9\u0646\u06cc\u062f\u061b \u0634\u06cc\u0628 \u062e\u0637 \u0628\u0631\u0627\u0628\u0631 \u2212r-r \u0627\u0633\u062a \u0648 \u0639\u0631\u0636 \u0627\u0632 \u0645\u0628\u062f\u0623 \u0628\u0631\u0627\u0628\u0631 $$ VocV_{oc}. $$<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<ul class=\"wp-block-list\"><\/ul>\n","protected":false},"excerpt":{"rendered":"<p>\u0645\u062d\u0627\u0633\u0628\u0647 \u0645\u0642\u0627\u0648\u0645\u062a \u062f\u0627\u062e\u0644\u06cc \u0645\u0646\u0628\u0639 (\u0628\u0647 \u0632\u0628\u0627\u0646 \u0633\u0627\u062f\u0647) \u0627\u06af\u0631 \u0645\u0646\u0628\u0639 \u0648\u0644\u062a\u0627\u0698\u0650 \u0634\u0645\u0627 \u062a\u062d\u062a \u0628\u0627\u0631 \u0627\u0641\u062a \u0648\u0644\u062a\u0627\u0698 \u0646\u0634\u0627\u0646 \u0645\u06cc\u200c\u062f\u0647\u062f\u060c \u0645\u06cc\u200c\u062a\u0648\u0627\u0646 \u0645\u0642\u0627\u0648\u0645\u062a \u062f\u0627\u062e\u0644\u06cc (r) \u0622\u0646 \u0631\u0627 \u0628\u0627 \u0631\u0648\u0634\u200c\u0647\u0627\u06cc \u0633\u0627\u062f\u0647\u200c\u0627\u06cc \u0645\u062d\u0627\u0633\u0628\u0647 \u06a9\u0631\u062f. \u0627\u0635\u0648\u0644 \u06a9\u0644\u06cc \u0648 \u0641\u0631\u0645\u0648\u0644\u200c\u0647\u0627 \u062f\u0631 \u0627\u062f\u0627\u0645\u0647 \u0647\u0633\u062a\u0646\u062f. \u0627\u06cc\u062f\u0647\u200c\u06cc \u067e\u0627\u06cc\u0647 (\u0645\u062f\u0644 \u062a\u0650\u0648\u0646\u0650\u0646) \u0645\u0646\u0628\u0639 \u0648\u0627\u0642\u0639\u06cc \u0631\u0627 \u0645\u06cc\u200c\u062a\u0648\u0627\u0646 \u0628\u0647 \u06cc\u06a9 \u0648\u0644\u062a\u0627\u0698 \u0627\u06cc\u062f\u0647\u200c\u0622\u0644 VocV_{oc} (\u0648\u0644\u062a\u0627\u0698 \u0628\u062f\u0648\u0646 \u0628\u0627\u0631 = open-circuit) \u0648 \u06cc\u06a9 &hellip;<\/p>\n","protected":false},"author":1,"featured_media":1132,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[13],"tags":[130,131,132],"class_list":["post-1124","post","type-post","status-publish","format-standard","has-post-thumbnail","","category-13","tag-130","tag-131","tag-132"],"_links":{"self":[{"href":"https:\/\/ilk.ir\/sahifa\/wp-json\/wp\/v2\/posts\/1124","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/ilk.ir\/sahifa\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/ilk.ir\/sahifa\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/ilk.ir\/sahifa\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/ilk.ir\/sahifa\/wp-json\/wp\/v2\/comments?post=1124"}],"version-history":[{"count":9,"href":"https:\/\/ilk.ir\/sahifa\/wp-json\/wp\/v2\/posts\/1124\/revisions"}],"predecessor-version":[{"id":1142,"href":"https:\/\/ilk.ir\/sahifa\/wp-json\/wp\/v2\/posts\/1124\/revisions\/1142"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/ilk.ir\/sahifa\/wp-json\/wp\/v2\/media\/1132"}],"wp:attachment":[{"href":"https:\/\/ilk.ir\/sahifa\/wp-json\/wp\/v2\/media?parent=1124"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/ilk.ir\/sahifa\/wp-json\/wp\/v2\/categories?post=1124"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/ilk.ir\/sahifa\/wp-json\/wp\/v2\/tags?post=1124"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}