{"id":1152,"date":"2025-10-01T17:03:45","date_gmt":"2025-10-01T13:33:45","guid":{"rendered":"https:\/\/ilk.ir\/sahifa\/?p=1152"},"modified":"2025-10-03T20:00:48","modified_gmt":"2025-10-03T16:30:48","slug":"%d9%be%d8%aa%d8%a7%d9%86%d8%b3%db%8c%d9%88%d9%85%d8%aa%d8%b1-%d8%ae%d8%b7%db%8c-%d9%84%da%af%d8%a7%d8%b1%db%8c%d8%aa%d9%85%db%8c","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%be%d8%aa%d8%a7%d9%86%d8%b3%db%8c%d9%88%d9%85%d8%aa%d8%b1-%d8%ae%d8%b7%db%8c-%d9%84%da%af%d8%a7%d8%b1%db%8c%d8%aa%d9%85%db%8c\/","title":{"rendered":"\u067e\u062a\u0627\u0646\u0633\u06cc\u0648\u0645\u062a\u0631 \u06cc\u06a9 \u0645\u0642\u0627\u0648\u0645\u062a \u0645\u062a\u063a\u06cc\u0631 \u062e\u0637\u06cc\/\u0644\u06af\u0627\u0631\u06cc\u062a\u0645\u06cc \u0633\u0647\u200c\u067e\u0627\u06cc\u0647 \u0627\u0633\u062a"},"content":{"rendered":"\n<h3 class=\"wp-block-heading\">\ud83c\udf9a\ufe0f \u067e\u062a\u0627\u0646\u0633\u06cc\u0648\u0645\u062a\u0631 \u0686\u06cc\u0633\u062a\u061f<\/h3>\n\n\n\n<p>\u067e\u062a\u0627\u0646\u0633\u06cc\u0648\u0645\u062a\u0631 \u06cc\u06a9 \u0645\u0642\u0627\u0648\u0645\u062a \u0645\u062a\u063a\u06cc\u0631 \u062e\u0637\u06cc\/\u0644\u06af\u0627\u0631\u06cc\u062a\u0645\u06cc \u0633\u0647\u200c\u067e\u0627\u06cc\u0647 \u0627\u0633\u062a.<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u062f\u0648 \u067e\u0627\u06cc\u0647 \u0628\u06cc\u0631\u0648\u0646\u06cc \u0628\u0647 \u062f\u0648 \u0633\u0631 \u0645\u0642\u0627\u0648\u0645\u062a \u062b\u0627\u0628\u062a \u0648\u0635\u0644\u200c\u0627\u0646\u062f.<\/li>\n\n\n\n<li>\u067e\u0627\u06cc\u0647 \u0648\u0633\u0637 (\u0648\u0627\u06cc\u067e\u0631 &#8211; Wiper) \u0631\u0648\u06cc \u0645\u0633\u06cc\u0631 \u0645\u0642\u0627\u0648\u0645\u062a \u062d\u0631\u06a9\u062a \u0645\u06cc\u200c\u06a9\u0646\u062f \u0648 \u0648\u0644\u062a\u0627\u0698 \/ \u062f\u0627\u0645\u0646\u0647 \u0648\u0631\u0648\u062f\u06cc \u06cc\u0627 \u0645\u0642\u062f\u0627\u0631 \u0645\u0642\u0627\u0648\u0645\u062a \u0645\u062a\u063a\u06cc\u0631 \u0631\u0627 \u0628\u0647 \u0645\u0627 \u0645\u06cc\u200c\u062f\u0647\u062f.<\/li>\n<\/ul>\n\n\n\n<p>\u0628\u0647 \u0632\u0628\u0627\u0646 \u0633\u0627\u062f\u0647: \u0628\u0627 \u0686\u0631\u062e\u0627\u0646\u062f\u0646 \u0634\u0627\u0641\u062a \u06cc\u0627 \u0644\u063a\u0632\u0627\u0646\u062f\u0646 \u062f\u0633\u062a\u0647\u060c \u0645\u0642\u062f\u0627\u0631 \u0645\u0642\u0627\u0648\u0645\u062a \u0628\u06cc\u0646 \u067e\u0627\u06cc\u0647\u200c\u0647\u0627 \u062a\u063a\u06cc\u06cc\u0631 \u0645\u06cc\u200c\u06a9\u0646\u062f \u0645\u062b\u0644 \u06cc\u06a9 \u062a\u0642\u0633\u06cc\u0645 \u0645\u0642\u0627\u0648\u0645\u062a\u06cc \u0645\u062a\u063a\u06cc\u06cc\u0631.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">\ud83d\udcc8 \u062a\u0641\u0627\u0648\u062a \u067e\u062a\u0627\u0646\u0633\u06cc\u0648\u0645\u062a\u0631 \u062e\u0637\u06cc \u0648 \u067e\u062a\u0627\u0646\u0633\u06cc\u0648\u0645\u062a\u0631 \u0644\u06af\u0627\u0631\u06cc\u062a\u0645\u06cc<\/h3>\n\n\n\n<p>\u067e\u062a\u0627\u0646\u0633\u06cc\u0648\u0645\u062a\u0631\u0647\u0627 \u0645\u0639\u0645\u0648\u0644\u0627\u064b \u062f\u0631 \u062f\u0648 \u0646\u0648\u0639 \u067e\u0631\u06a9\u0627\u0631\u0628\u0631\u062f \u0633\u0627\u062e\u062a\u0647 \u0645\u06cc\u200c\u0634\u0648\u0646\u062f:<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>\u062e\u0637\u06cc (Linear)<\/strong> \u2192 \u062a\u063a\u06cc\u06cc\u0631 \u0645\u0642\u0627\u0648\u0645\u062a \u0645\u062a\u0646\u0627\u0633\u0628 \u0628\u0627 \u062d\u0631\u06a9\u062a \u0634\u0627\u0641\u062a \u0627\u0633\u062a.\n<ul class=\"wp-block-list\">\n<li>\u0645\u062b\u0644\u0627\u064b \u0627\u06af\u0631 \u0648\u0644\u0648\u0645 \u0631\u0627 \u062a\u0627 \u0646\u0635\u0641 \u0628\u0686\u0631\u062e\u0627\u0646\u06cc\u060c \u0645\u0642\u0627\u0648\u0645\u062a \u0647\u0645 \u062a\u0642\u0631\u06cc\u0628\u0627\u064b \u0646\u0635\u0641 \u0645\u06cc\u200c\u0634\u0648\u062f.<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>\u0644\u06af\u0627\u0631\u06cc\u062a\u0645\u06cc (Logarithmic)<\/strong> \u2192 \u062a\u063a\u06cc\u06cc\u0631 \u0645\u0642\u0627\u0648\u0645\u062a \u0645\u0637\u0627\u0628\u0642 \u06cc\u06a9 \u062a\u0627\u0628\u0639 \u0644\u06af\u0627\u0631\u06cc\u062a\u0645\u06cc \u0627\u0633\u062a.\n<ul class=\"wp-block-list\">\n<li>\u06cc\u0639\u0646\u06cc \u062f\u0631 \u0627\u0628\u062a\u062f\u0627\u06cc \u062d\u0631\u06a9\u062a \u0634\u0627\u0641\u062a\u060c \u062a\u063a\u06cc\u06cc\u0631\u0627\u062a \u0645\u0642\u0627\u0648\u0645\u062a \u062e\u06cc\u0644\u06cc \u06a9\u0646\u062f \u0627\u0633\u062a \u0648\u0644\u06cc \u0647\u0631\u0686\u0647 \u0628\u06cc\u0634\u062a\u0631 \u0628\u0686\u0631\u062e\u0627\u0646\u06cc\u060c \u062a\u063a\u06cc\u06cc\u0631\u0627\u062a \u0633\u0631\u06cc\u0639\u200c\u062a\u0631 \u0648 \u0628\u0632\u0631\u06af\u200c\u062a\u0631 \u0686\u0648\u0646 \u062a\u063a\u06cc\u06cc\u0631\u0627\u062a \u0628\u0635\u0648\u0631\u062a \u0646\u0645\u0627\u06cc\u06cc \u0627\u0633\u062a.<\/li>\n<\/ul>\n<\/li>\n<\/ol>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">\ud83d\udd0a \u0686\u0631\u0627 \u067e\u062a\u0627\u0646\u0633\u06cc\u0648\u0645\u062a\u0631 \u0644\u06af\u0627\u0631\u06cc\u062a\u0645\u06cc\u061f<\/h3>\n\n\n\n<p>\u0627\u0646\u0633\u0627\u0646 <strong>\u0634\u062f\u062a \u0635\u062f\u0627<\/strong> \u0631\u0627 \u062e\u0637\u06cc \u0646\u0645\u06cc\u200c\u0634\u0646\u0648\u062f \u0628\u0644\u06a9\u0647 \u0644\u06af\u0627\u0631\u06cc\u062a\u0645\u06cc \u062f\u0631\u06a9 \u0645\u06cc\u200c\u06a9\u0646\u062f (\u0628\u0627 \u0645\u0642\u06cc\u0627\u0633 \u062f\u0633\u06cc\u200c\u0628\u0644).<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u0627\u06af\u0631 \u0627\u0632 \u067e\u062a\u0627\u0646\u0633\u06cc\u0648\u0645\u062a\u0631 \u062e\u0637\u06cc \u0628\u0631\u0627\u06cc \u06a9\u0646\u062a\u0631\u0644 \u0635\u062f\u0627 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0634\u0648\u062f\u060c \u062f\u0631 \u0627\u0628\u062a\u062f\u0627 \u062a\u063a\u06cc\u06cc\u0631 \u062e\u06cc\u0644\u06cc \u0646\u0627\u0686\u06cc\u0632 \u0648 \u062f\u0631 \u0627\u0646\u062a\u0647\u0627 \u062a\u063a\u06cc\u06cc\u0631 \u062e\u06cc\u0644\u06cc \u0646\u0627\u06af\u0647\u0627\u0646\u06cc \u062e\u0648\u0627\u0647\u062f \u0628\u0648\u062f.<\/li>\n\n\n\n<li>\u0628\u0647 \u0647\u0645\u06cc\u0646 \u062f\u0644\u06cc\u0644 \u062f\u0631 \u0645\u062f\u0627\u0631\u0647\u0627\u06cc \u0635\u0648\u062a\u06cc (\u0648\u0644\u0648\u0645 \u0627\u0633\u067e\u06cc\u06a9\u0631\u060c \u0645\u06cc\u06a9\u0633\u0631\u060c \u0622\u0645\u067e\u0644\u06cc\u200c\u0641\u0627\u06cc\u0631) \u0628\u06cc\u0634\u062a\u0631 \u0627\u0632 \u067e\u062a\u0627\u0646\u0633\u06cc\u0648\u0645\u062a\u0631 <strong>\u0644\u06af\u0627\u0631\u06cc\u062a\u0645\u06cc<\/strong> \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0645\u06cc\u200c\u0634\u0648\u062f \u062a\u0627 \u062a\u063a\u06cc\u06cc\u0631 \u0635\u062f\u0627 \u0628\u0631\u0627\u06cc \u06af\u0648\u0634 \u0627\u0646\u0633\u0627\u0646 <strong>\u0637\u0628\u06cc\u0639\u06cc \u0648 \u06cc\u06a9\u0646\u0648\u0627\u062e\u062a<\/strong> \u062d\u0633 \u0634\u0648\u062f.<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">\ud83d\udccc \u0639\u0644\u0627\u0645\u062a\u200c\u06af\u0630\u0627\u0631\u06cc \u0631\u0648\u06cc \u067e\u062a\u0627\u0646\u0633\u06cc\u0648\u0645\u062a\u0631\u0647\u0627<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>A<\/strong> \u2192 \u0645\u0639\u0645\u0648\u0644\u0627\u064b \u06cc\u0639\u0646\u06cc \u0644\u06af\u0627\u0631\u06cc\u062a\u0645\u06cc (Audio Taper).<\/li>\n\n\n\n<li><strong>B<\/strong> \u2192 \u062e\u0637\u06cc (Linear Taper).<br>(\u0627\u0644\u0628\u062a\u0647 \u062f\u0631 \u0628\u0639\u0636\u06cc \u0627\u0633\u062a\u0627\u0646\u062f\u0627\u0631\u062f\u0647\u0627 \u0628\u0631\u0639\u06a9\u0633 \u0647\u0645 \u0646\u0648\u0634\u062a\u0647 \u0645\u06cc\u200c\u0634\u0648\u062f\u060c \u067e\u0633 \u0628\u0627\u06cc\u062f \u0628\u0647 \u062f\u06cc\u062a\u0627\u0634\u06cc\u062a \u062a\u0648\u062c\u0647 \u06a9\u0631\u062f.)<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">\ud83d\udd27 \u06a9\u0627\u0631\u0628\u0631\u062f\u0647\u0627<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u06a9\u0646\u062a\u0631\u0644 \u062d\u062c\u0645 \u0635\u062f\u0627 (Volume) \u062f\u0631 \u062f\u0633\u062a\u06af\u0627\u0647\u200c\u0647\u0627\u06cc \u0635\u0648\u062a\u06cc \ud83c\udfb6<\/li>\n\n\n\n<li>\u062a\u0646\u0638\u06cc\u0645 \u062a\u0648\u0646 \u06cc\u0627 \u0628\u0627\u0644\u0627\u0646\u0633 \u062f\u0631 \u0645\u06cc\u06a9\u0633\u0631\u0647\u0627<\/li>\n\n\n\n<li>\u0645\u062f\u0627\u0631\u0647\u0627\u06cc\u06cc \u06a9\u0647 \u0646\u06cc\u0627\u0632 \u0628\u0647 \u062a\u063a\u06cc\u06cc\u0631\u0627\u062a \u063a\u06cc\u0631\u062e\u0637\u06cc \u0645\u0642\u0627\u0648\u0645\u062a \u062f\u0627\u0631\u0646\u062f<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<p>\u06cc\u06a9 \u0646\u0645\u0648\u062f\u0627\u0631 \u0645\u0642\u0627\u06cc\u0633\u0647\u200c\u0627\u06cc \u06a9\u0647 \u062a\u0641\u0627\u0648\u062a <strong>\u062e\u0637\u06cc<\/strong> \u0648 <strong>\u0644\u06af\u0627\u0631\u06cc\u062a\u0645\u06cc<\/strong> \u0631\u0648 \u0628\u0647 \u0635\u0648\u0631\u062a \u06af\u0631\u0627\u0641\u06cc\u06a9\u06cc \u0646\u0634\u0648\u0646 \u0645\u06cc\u062f\u0647<\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"516\" src=\"https:\/\/ilk.ir\/sahifa\/wp-content\/uploads\/Linear-and-Logarithmic-1024x516.webp\" alt=\"\u0646\u0645\u0648\u062f\u0627\u0631 \u067e\u062a\u0627\u0646\u0633\u06cc\u0648\u0645\u062a\u0631 \u062e\u0637\u06cc \u0648 \u0644\u06af\u0627\u0631\u06cc\u062a\u0645\u06cc\" class=\"wp-image-1154\" title=\"\" srcset=\"https:\/\/ilk.ir\/sahifa\/wp-content\/uploads\/Linear-and-Logarithmic-1024x516.webp 1024w, https:\/\/ilk.ir\/sahifa\/wp-content\/uploads\/Linear-and-Logarithmic-300x151.webp 300w, https:\/\/ilk.ir\/sahifa\/wp-content\/uploads\/Linear-and-Logarithmic-768x387.webp 768w, https:\/\/ilk.ir\/sahifa\/wp-content\/uploads\/Linear-and-Logarithmic-1536x774.webp 1536w, https:\/\/ilk.ir\/sahifa\/wp-content\/uploads\/Linear-and-Logarithmic.webp 1920w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n\n\n\n<p>\u0628\u0627 \u06a9\u062f \u067e\u0627\u06cc\u062a\u0648\u0646 \u0632\u06cc\u0631 \u0647\u0645 \u0645\u06cc\u062a\u0648\u0646\u06cc \u0634\u06a9\u0644 \u06af\u0631\u0627\u0641 \u067e\u062a\u0627\u0646\u0633\u06cc\u0648\u0645\u062a\u0631 \u0644\u06af\u0627\u0631\u06cc\u062a\u0645\u06cc \u0631\u0627 \u0631\u0633\u0645 \u06a9\u0646\u06cc \u0648 \u0645\u0648\u0627\u0631\u062f \u0628\u06cc\u0634\u062a\u0631\u06cc \u06cc\u0627\u062f \u0628\u06af\u06cc\u0631\u06cc&#8230;<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>import numpy as np\nimport matplotlib.pyplot as plt\n\ndef log_pot(x, R_total=500e3, Vin=5.0, k=4.0):\n    \"\"\"\n    \u0634\u0628\u06cc\u0647\u200c\u0633\u0627\u0632\u06cc \u0648\u0644\u0648\u0645 \u0644\u06af\u0627\u0631\u06cc\u062a\u0645\u06cc (\u0646\u0645\u0627\u06cc\u06cc)\n    ------------------------------\n    x: \u0645\u0648\u0642\u0639\u06cc\u062a \u0648\u0644\u0648\u0645 (0 \u062a\u0627 1)\n    R_total: \u0645\u0642\u0627\u0648\u0645\u062a \u06a9\u0644 (\u03a9)\n    Vin: \u0648\u0644\u062a\u0627\u0698 \u0648\u0631\u0648\u062f\u06cc (\u0648\u0644\u062a)\n    k: \u0636\u0631\u06cc\u0628 \u062a\u0646\u062f\u06cc \u0646\u0645\u0627\u06cc\u06cc (\u0628\u0632\u0631\u06af\u062a\u0631 \u2192 \u062a\u063a\u06cc\u06cc\u0631 \u0633\u0631\u06cc\u0639\u200c\u062a\u0631 \u062f\u0631 \u0627\u0646\u062a\u0647\u0627)\n    \"\"\"\n    # \u0627\u0637\u0645\u06cc\u0646\u0627\u0646 \u0627\u0632 \u0628\u0627\u0632\u0647 \u0635\u062d\u06cc\u062d\n    x = np.clip(x, 0, 1)\n\n    # \u062a\u0627\u0628\u0639 \u0646\u0645\u0627\u06cc\u06cc \u0646\u0631\u0645\u0627\u0644\u200c\u0634\u062f\u0647\n    f = (np.exp(k * x) - 1) \/ (np.exp(k) - 1)\n\n    # \u0645\u0642\u0627\u0648\u0645\u062a\u200c\u0647\u0627\n    R_bottom = R_total * f\n    R_top = R_total * (1 - f)\n\n    # \u0648\u0644\u062a\u0627\u0698 \u062e\u0631\u0648\u062c\u06cc\n    Vout = Vin * f\n\n    return R_top, R_bottom, Vout\n\n# ---- \u062a\u0633\u062a \u0648 \u0686\u0627\u067e \u0646\u0645\u0648\u0646\u0647\u200c\u0647\u0627 ----\npositions = &#91;0, 0.25, 0.5, 0.75, 1.0]\nprint(\"\u0646\u0645\u0648\u0646\u0647 \u0645\u0642\u0627\u062f\u06cc\u0631 \u0628\u0631\u0627\u06cc \u0648\u0644\u0648\u0645 \u0644\u06af\u0627\u0631\u06cc\u062a\u0645\u06cc 500k\u03a9 (Vin=5V, k=4):\")\nfor p in positions:\n    R_top, R_bottom, Vout = log_pot(p)\n    print(f\"x={p:.2f} \u2192 R_top={R_top:,.0f}\u03a9, R_bottom={R_bottom:,.0f}\u03a9, Vout={Vout:.3f} V\")\n\n# ---- \u0631\u0633\u0645 \u0646\u0645\u0648\u062f\u0627\u0631 ----\nx_vals = np.linspace(0, 1, 400)\nVout_vals = &#91;log_pot(x)&#91;2] for x in x_vals]\nVout_linear = 5 * x_vals   # \u0645\u0642\u0627\u06cc\u0633\u0647 \u0628\u0627 \u0648\u0644\u0648\u0645 \u062e\u0637\u06cc\n\nplt.figure(figsize=(9,5))\nplt.plot(x_vals*100, Vout_vals, label=\"\u0648\u0644\u0648\u0645 \u0644\u06af\u0627\u0631\u06cc\u062a\u0645\u06cc (k=4)\", linewidth=2)\nplt.plot(x_vals*100, Vout_linear, label=\"\u0648\u0644\u0648\u0645 \u062e\u0637\u06cc\", linestyle=\"--\")\nplt.xlabel(\"\u0645\u0648\u0642\u0639\u06cc\u062a \u0648\u0644\u0648\u0645 (%)\")\nplt.ylabel(\"\u0648\u0644\u062a\u0627\u0698 \u062e\u0631\u0648\u062c\u06cc (V)\")\nplt.title(\"\u0634\u0628\u06cc\u0647\u200c\u0633\u0627\u0632\u06cc \u0648\u0644\u0648\u0645 \u0644\u06af\u0627\u0631\u06cc\u062a\u0645\u06cc 500k\u03a9 (Vin=5V)\")\nplt.grid(True)\nplt.legend()\nplt.show()<\/code><\/pre>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">\u2705 \u0646\u062a\u06cc\u062c\u0647:<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u062e\u0631\u0648\u062c\u06cc \u0647\u0645 \u062f\u0631 \u062a\u0631\u0645\u06cc\u0646\u0627\u0644 \u0686\u0627\u067e \u0645\u06cc\u200c\u0634\u0648\u062f (\u0686\u0646\u062f \u0645\u0648\u0642\u0639\u06cc\u062a \u0646\u0645\u0648\u0646\u0647 \u0645\u062b\u0644 0%\u060c 25%\u060c 50%\u060c 75%\u060c 100%).<\/li>\n\n\n\n<li>\u0646\u0645\u0648\u062f\u0627\u0631 \u0646\u0634\u0627\u0646 \u0645\u06cc\u200c\u062f\u0647\u062f \u0648\u0644\u0648\u0645 \u0644\u06af\u0627\u0631\u06cc\u062a\u0645\u06cc \u0686\u0637\u0648\u0631 \u062a\u063a\u06cc\u06cc\u0631 \u0622\u0631\u0627\u0645 \u062f\u0631 \u0627\u0628\u062a\u062f\u0627 \u0648 \u0633\u0631\u06cc\u0639 \u062f\u0631 \u0627\u0646\u062a\u0647\u0627 \u062f\u0627\u0631\u062f.<\/li>\n\n\n\n<li>\u062e\u0637 \u0686\u06cc\u0646 \u0628\u0631\u0627\u06cc \u0645\u0642\u0627\u06cc\u0633\u0647 \u0648\u0644\u0648\u0645 \u062e\u0637\u06cc \u0627\u0633\u062a.<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<p>\u0627\u06af\u0631 \u0628\u062e\u0648\u0627\u0647\u06cc \u0636\u0631\u06cc\u0628 \u062a\u0646\u062f\u06cc \u0646\u0645\u0627\u06cc\u06cc \u06af\u0631\u0627\u0641 \u0644\u06af\u0627\u0631\u06cc\u062a\u0645\u06cc \u0631\u0627 \u0628\u062a\u0648\u0646\u06cc \u062a\u063a\u06cc\u06cc\u0631 \u0628\u062f\u0647\u06cc \u0628\u0627\u06cc\u062f \u0627\u0632 \u06a9\u062f \u0632\u06cc\u0631 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u06a9\u0646\u06cc<\/p>\n\n\n\n<p>\u0627\u06af\u0631 \u0631\u0648\u06cc \u0645\u062d\u06cc\u0637\u200c\u0647\u0627\u06cc\u06cc \u0645\u062b\u0644 <strong>Jupyter Notebook<\/strong> \u06cc\u0627 <strong>Google Colab<\/strong> \u0627\u062c\u0631\u0627 \u06a9\u0646\u06cc\u060c \u0628\u0627 \u0627\u0633\u0644\u0627\u06cc\u062f\u0631 \u0645\u06cc\u200c\u062a\u0648\u0646\u06cc <code>k<\/code> \u0631\u0648 \u06a9\u0645\u200c\u0648\u0632\u06cc\u0627\u062f \u06a9\u0646\u06cc.<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>import numpy as np\nimport matplotlib.pyplot as plt\nfrom ipywidgets import interact\n\ndef log_pot(x, R_total=500e3, Vin=5.0, k=4.0):\n    \"\"\"\n    \u0634\u0628\u06cc\u0647\u200c\u0633\u0627\u0632\u06cc \u0648\u0644\u0648\u0645 \u0644\u06af\u0627\u0631\u06cc\u062a\u0645\u06cc (\u0646\u0645\u0627\u06cc\u06cc)\n    \"\"\"\n    x = np.clip(x, 0, 1)\n    f = (np.exp(k * x) - 1) \/ (np.exp(k) - 1)\n    R_bottom = R_total * f\n    R_top = R_total * (1 - f)\n    Vout = Vin * f\n    return R_top, R_bottom, Vout\n\ndef plot_pot(k=3.0):\n    x_vals = np.linspace(0, 1, 400)\n    Vout_vals = &#91;log_pot(x, k=k)&#91;2] for x in x_vals]\n    Vout_linear = 5 * x_vals\n\n    plt.figure(figsize=(9,5))\n    plt.plot(x_vals*100, Vout_vals, label=f\"Logarithmic Volume (k={k:.1f})\", linewidth=2)\n    plt.plot(x_vals*100, Vout_linear, label=\"Line Volume\", linestyle=\"--\")\n    plt.xlabel(\"Volume Position (%)\")\n    plt.ylabel(\"Output Voltage (V)\")\n    plt.title(\"500k\u03a9 Logarithmic Volume Simulation (Vin=5V)\")\n    plt.grid(True)\n    plt.legend()\n    plt.show()\n\n# \u0627\u062c\u0631\u0627\u06cc \u0627\u0633\u0644\u0627\u06cc\u062f\u0631 \u062a\u0639\u0627\u0645\u0644\u06cc (k \u0628\u06cc\u0646 1 \u062a\u0627 10)\ninteract(plot_pot, k=(1.0, 10.0, 0.5))\n<\/code><\/pre>\n\n\n\n<h3 class=\"wp-block-heading\">\ud83c\udf9a\ufe0f \u062a\u0648\u0636\u06cc\u062d:<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u0628\u0627 \u0627\u0633\u0644\u0627\u06cc\u062f\u0631 \u0645\u06cc\u200c\u062a\u0648\u0646\u06cc \u0645\u0642\u062f\u0627\u0631 k \u0631\u0648 \u062a\u063a\u06cc\u06cc\u0631 \u0628\u062f\u06cc (\u0645\u062b\u0644\u0627\u064b \u0627\u0632 \u06f1 \u062a\u0627 \u06f1\u06f0).<\/li>\n\n\n\n<li>\u0647\u0631 \u0686\u0647 k \u0628\u0632\u0631\u06af\u200c\u062a\u0631 \u0628\u0627\u0634\u0647 \u2192 \u062a\u063a\u06cc\u06cc\u0631 \u0648\u0644\u062a\u0627\u0698 \u062f\u0631 \u0627\u0628\u062a\u062f\u0627\u06cc \u0648\u0644\u0648\u0645 \u06a9\u0646\u062f\u062a\u0631 \u0648 \u062f\u0631 \u0627\u0646\u062a\u0647\u0627 \u0633\u0631\u06cc\u0639\u200c\u062a\u0631 \u0645\u06cc\u200c\u0634\u0647.<\/li>\n\n\n\n<li>\u062e\u0637 \u0686\u06cc\u0646\u060c \u0631\u0641\u062a\u0627\u0631 \u062e\u0637\u06cc \u0631\u0648 \u0646\u0634\u0648\u0646 \u0645\u06cc\u200c\u062f\u0647.<\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>\ud83c\udf9a\ufe0f \u067e\u062a\u0627\u0646\u0633\u06cc\u0648\u0645\u062a\u0631 \u0686\u06cc\u0633\u062a\u061f \u067e\u062a\u0627\u0646\u0633\u06cc\u0648\u0645\u062a\u0631 \u06cc\u06a9 \u0645\u0642\u0627\u0648\u0645\u062a \u0645\u062a\u063a\u06cc\u0631 \u062e\u0637\u06cc\/\u0644\u06af\u0627\u0631\u06cc\u062a\u0645\u06cc \u0633\u0647\u200c\u067e\u0627\u06cc\u0647 \u0627\u0633\u062a. \u062f\u0648 \u067e\u0627\u06cc\u0647 \u0628\u06cc\u0631\u0648\u0646\u06cc \u0628\u0647 \u062f\u0648 \u0633\u0631 \u0645\u0642\u0627\u0648\u0645\u062a \u062b\u0627\u0628\u062a \u0648\u0635\u0644\u200c\u0627\u0646\u062f. \u067e\u0627\u06cc\u0647 \u0648\u0633\u0637 (\u0648\u0627\u06cc\u067e\u0631 &#8211; Wiper) \u0631\u0648\u06cc \u0645\u0633\u06cc\u0631 \u0645\u0642\u0627\u0648\u0645\u062a \u062d\u0631\u06a9\u062a \u0645\u06cc\u200c\u06a9\u0646\u062f \u0648 \u0648\u0644\u062a\u0627\u0698 \/ \u062f\u0627\u0645\u0646\u0647 \u0648\u0631\u0648\u062f\u06cc \u06cc\u0627 \u0645\u0642\u062f\u0627\u0631 \u0645\u0642\u0627\u0648\u0645\u062a \u0645\u062a\u063a\u06cc\u0631 \u0631\u0627 \u0628\u0647 \u0645\u0627 \u0645\u06cc\u200c\u062f\u0647\u062f. \u0628\u0647 \u0632\u0628\u0627\u0646 \u0633\u0627\u062f\u0647: \u0628\u0627 \u0686\u0631\u062e\u0627\u0646\u062f\u0646 \u0634\u0627\u0641\u062a \u06cc\u0627 \u0644\u063a\u0632\u0627\u0646\u062f\u0646 \u062f\u0633\u062a\u0647\u060c \u0645\u0642\u062f\u0627\u0631 \u0645\u0642\u0627\u0648\u0645\u062a \u0628\u06cc\u0646 \u067e\u0627\u06cc\u0647\u200c\u0647\u0627 &hellip;<\/p>\n","protected":false},"author":1,"featured_media":1154,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[13],"tags":[159,169,162,160,161],"class_list":["post-1152","post","type-post","status-publish","format-standard","has-post-thumbnail","","category-13","tag-159","tag-169","tag-162","tag-160","tag-161"],"_links":{"self":[{"href":"https:\/\/ilk.ir\/sahifa\/wp-json\/wp\/v2\/posts\/1152","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=1152"}],"version-history":[{"count":7,"href":"https:\/\/ilk.ir\/sahifa\/wp-json\/wp\/v2\/posts\/1152\/revisions"}],"predecessor-version":[{"id":1164,"href":"https:\/\/ilk.ir\/sahifa\/wp-json\/wp\/v2\/posts\/1152\/revisions\/1164"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/ilk.ir\/sahifa\/wp-json\/wp\/v2\/media\/1154"}],"wp:attachment":[{"href":"https:\/\/ilk.ir\/sahifa\/wp-json\/wp\/v2\/media?parent=1152"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/ilk.ir\/sahifa\/wp-json\/wp\/v2\/categories?post=1152"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/ilk.ir\/sahifa\/wp-json\/wp\/v2\/tags?post=1152"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}