{"product_id":"skin-depth-plate-020-physics-poster","title":"Skin Depth – Plate 020 Physics Poster","description":"\u003cp\u003ePlate 20 speaks for itself: \u003cem\u003e“At high frequency, current lives on the surface.”\u003c\/em\u003e\u003c\/p\u003e\u003ch3\u003eThe Physics\u003c\/h3\u003e\u003cp\u003eAn alternating current induces eddy currents that push it toward the conductor's surface. It falls off with depth over a skin depth that shrinks as frequency rises.\u003c\/p\u003e\u003cp\u003e\u003cstrong\u003eδ = √(2ρ \/ (ω μ))\u003c\/strong\u003e\u003c\/p\u003e\u003cul\u003e\n\u003cli\u003eδ: skin depth, m\u003c\/li\u003e\n\u003cli\u003eρ: resistivity (Cu: 1.68×10⁻⁸ Ω m), Ω m\u003c\/li\u003e\n\u003cli\u003eω: angular frequency 2πf, rad s⁻¹\u003c\/li\u003e\n\u003cli\u003eμ: permeability (Cu ≈ μ₀), H m⁻¹\u003c\/li\u003e\n\u003c\/ul\u003e\u003cp\u003eAC current crowds into the outer skin. Copper at 60 Hz: δ ≈ 8.4 mm; at 1 MHz: 65 µm.\u003c\/p\u003e\u003ch3\u003eSources\u003c\/h3\u003e\u003cul\u003e\n\u003cli\u003eCRC Handbook of Chemistry and Physics: Cu resistivity at 20 °C.\u003c\/li\u003e\n\u003cli\u003eJ. D. Jackson, Classical Electrodynamics, 3rd ed., §8.1.\u003c\/li\u003e\n\u003c\/ul\u003e\u003ch3\u003eOn the poster\u003c\/h3\u003e\u003cp\u003ePlate 020, “Skin Depth”: the pixel-art plate with its slogan “At high frequency, current lives on the surface.”, the key equation and the facts panel shown above. Pixelated Physics. Physics. Personified.\u003c\/p\u003e","brand":"Printify","offers":[{"title":"9'' x 12\" (Vertical) \/ Matte","offer_id":50961801150567,"sku":"59099135119874925879","price":19.99,"currency_code":"USD","in_stock":true},{"title":"9'' x 12\" (Vertical) \/ Fine Art","offer_id":50961801183335,"sku":"28103970662066791017","price":29.99,"currency_code":"USD","in_stock":true},{"title":"9'' x 12\" (Vertical) \/ Semi Glossy","offer_id":50961801216103,"sku":"34001751823685293204","price":19.99,"currency_code":"USD","in_stock":true},{"title":"18″ x 24″ (Vertical) \/ Fine Art","offer_id":50961801248871,"sku":"33884492363190892149","price":44.99,"currency_code":"USD","in_stock":true},{"title":"18″ x 24″ (Vertical) \/ Semi Glossy","offer_id":50961801281639,"sku":"32755228547362855554","price":29.99,"currency_code":"USD","in_stock":true},{"title":"18″ x 24″ (Vertical) \/ Matte","offer_id":50961801314407,"sku":"19982147428736818593","price":29.99,"currency_code":"USD","in_stock":true},{"title":"36'' x 48\" (Vertical) \/ Matte","offer_id":50961801347175,"sku":"32119736459130555725","price":69.99,"currency_code":"USD","in_stock":true},{"title":"36'' x 48\" (Vertical) \/ Fine Art","offer_id":50961801379943,"sku":"23030673208311643486","price":119.99,"currency_code":"USD","in_stock":true},{"title":"36'' x 48\" (Vertical) \/ Semi Glossy","offer_id":50961801412711,"sku":"55935342446782029253","price":69.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0596\/8746\/9159\/files\/7992249451112024044_2048.jpg?v=1793731224","url":"https:\/\/pixelatedphysics.com\/fr\/products\/skin-depth-plate-020-physics-poster","provider":"Pixelated Physics","version":"1.0","type":"link"}