{"id":126,"date":"2025-07-18T03:31:28","date_gmt":"2025-07-18T03:31:28","guid":{"rendered":"https:\/\/giapsgk.com\/chuyen-de\/?p=126"},"modified":"2025-07-18T06:56:07","modified_gmt":"2025-07-18T06:56:07","slug":"cac-cong-thuc-vat-ly-11","status":"publish","type":"post","link":"https:\/\/giapsgk.com\/chuyen-de\/cac-cong-thuc-vat-ly-11\/","title":{"rendered":"C\u00e1c c\u00f4ng th\u1ee9c V\u1eadt l\u00fd 11 (s\u00e1ch m\u1edbi) \u2013 \u00d4n t\u1eadp hi\u1ec7u qu\u1ea3 HK1 &#038; HK2"},"content":{"rendered":"<p>Kh\u00e1m ph\u00e1 c\u00e1c c\u00f4ng th\u1ee9c V\u1eadt l\u00fd 11 quan tr\u1ecdng theo t\u1eebng ch\u01b0\u01a1ng: Dao \u0111\u1ed9ng \u0111i\u1ec1u h\u00f2a, s\u00f3ng c\u01a1 \u2013 s\u00f3ng \u00e2m \u2013 giao thoa, \u0111i\u1ec7n tr\u01b0\u1eddng \u2013 t\u1ee5 \u0111i\u1ec7n, d\u00f2ng \u0111i\u1ec7n \u2013 m\u1ea1ch \u0111i\u1ec7n,&#8230; T\u00e0i li\u1ec7u t\u1ed5ng h\u1ee3p c\u00f4ng th\u1ee9c \u0111\u1ea7y \u0111\u1ee7, d\u1ec5 hi\u1ec3u, h\u1ed7 tr\u1ee3 \u00f4n thi h\u1ecdc k\u1ef3 v\u00e0 thi h\u1ecdc sinh gi\u1ecfi hi\u1ec7u qu\u1ea3.<\/p>\n<h2><strong>Ch\u1ee7 \u0111\u1ec1 1: DAO \u0110\u1ed8NG \u0110I\u1ec0U H\u00d2A<\/strong><\/h2>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-133 size-full\" src=\"https:\/\/giapsgk.com\/chuyen-de\/wp-content\/uploads\/giapsgk-cac-cong-thuc-vat-ly-11-1.png\" alt=\"C\u00e1c c\u00f4ng th\u1ee9c V\u1eadt l\u00fd 11 ch\u01b0\u01a1ng Dao \u0111\u1ed9ng\" width=\"1088\" height=\"909\" \/><\/p>\n<p><strong>1. Ph\u01b0\u01a1ng tr\u00ecnh dao \u0111\u1ed9ng \u0111i\u1ec1u h\u00f2a<\/strong><\/p>\n<ul>\n<li>$x(t) = A\\cos(\\omega t + \\varphi)$<\/li>\n<li>$v(t) = -A\\omega \\sin(\\omega t + \\varphi)$<\/li>\n<li>$a(t) = -A\\omega^2 \\cos(\\omega t + \\varphi) = -\\omega^2 x$<\/li>\n<\/ul>\n<p><strong>2. C\u00e1c \u0111\u1ea1i l\u01b0\u1ee3ng \u0111\u1eb7c tr\u01b0ng<\/strong><\/p>\n<ul>\n<li>T\u1ea7n s\u1ed1 g\u00f3c: $\\omega = 2\\pi f = \\sqrt{\\frac{k}{m}}$<\/li>\n<li>Chu k\u1ef3: $T = \\frac{1}{f}$<\/li>\n<li>Bi\u00ean \u0111\u1ed9: $A$, Pha ban \u0111\u1ea7u: $\\varphi$<\/li>\n<\/ul>\n<p><strong>3. N\u0103ng l\u01b0\u1ee3ng trong dao \u0111\u1ed9ng<\/strong><\/p>\n<ul>\n<li>C\u01a1 n\u0103ng: $W = \\frac{1}{2}kA^2$<\/li>\n<li>\u0110\u1ed9ng n\u0103ng: $W_{\u0111} = \\frac{1}{2}mv^2 = \\frac{1}{2}m\\omega^2(A^2 &#8211; x^2)$<\/li>\n<li>Th\u1ebf n\u0103ng: $W_{t} = \\frac{1}{2}k x^2 = \\frac{1}{2}m\\omega^2x^2$<\/li>\n<\/ul>\n<p><strong>4. Dao \u0111\u1ed9ng t\u1eaft d\u1ea7n, c\u01b0\u1ee1ng b\u1ee9c<\/strong><\/p>\n<ul>\n<li>T\u1eaft d\u1ea7n: bi\u00ean \u0111\u1ed9 gi\u1ea3m d\u1ea7n theo th\u1eddi gian do l\u1ef1c c\u1ea3n.<\/li>\n<li>C\u01b0\u1ee1ng b\u1ee9c: dao \u0111\u1ed9ng do t\u00e1c \u0111\u1ed9ng t\u1eeb l\u1ef1c ngo\u00e0i c\u00f3 chu k\u1ef3.<\/li>\n<li>C\u1ed9ng h\u01b0\u1edfng: x\u1ea3y ra khi $f_{\\text{ngo\u00e0i}} = f_{\\text{ri\u00eang}}$<\/li>\n<\/ul>\n<h2><strong>Ch\u1ee7 \u0111\u1ec1 2: S\u00d3NG C\u01a0 \u2013 S\u00d3NG \u00c2M \u2013 GIAO THOA<\/strong><\/h2>\n<p style=\"text-align: center;\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-134 size-full\" src=\"https:\/\/giapsgk.com\/chuyen-de\/wp-content\/uploads\/giapsgk-cac-cong-thuc-vat-ly-11-2.png\" alt=\"b\u1ea3ng c\u00f4ng th\u1ee9c v\u1eadt l\u00fd l\u1edbp 11 \u0111\u1ea7y \u0111\u1ee7\" width=\"732\" height=\"442\" \/><\/p>\n<p><strong>1. S\u00f3ng c\u01a1<\/strong><\/p>\n<ul>\n<li>Ph\u01b0\u01a1ng tr\u00ecnh s\u00f3ng: $u(x, t) = A \\cos(\\omega t &#8211; kx + \\varphi)$<\/li>\n<li>Li\u00ean h\u1ec7: $v = \\lambda f = \\frac{\\omega}{k}$<\/li>\n<\/ul>\n<p><strong>2. Giao thoa s\u00f3ng<\/strong><\/p>\n<ul>\n<li>Bi\u00ean \u0111\u1ed9 c\u1ef1c \u0111\u1ea1i: $A_{\\text{max}} = 2A$<\/li>\n<li>Bi\u00ean \u0111\u1ed9 c\u1ef1c ti\u1ec3u: $A_{\\text{min}} = 0$<\/li>\n<\/ul>\n<p><strong>3. S\u00f3ng d\u1eebng<\/strong><\/p>\n<ul>\n<li>\u0110i\u1ec3m n\u00fat: dao \u0111\u1ed9ng c\u1ef1c ti\u1ec3u, b\u1ee5ng: dao \u0111\u1ed9ng c\u1ef1c \u0111\u1ea1i.<\/li>\n<li>Chi\u1ec1u d\u00e0i d\u00e2y c\u00f3 s\u00f3ng d\u1eebng: $L = \\frac{k\\lambda}{2}$ v\u1edbi $k \\in N*$<\/li>\n<\/ul>\n<p><strong>4. S\u00f3ng \u00e2m<\/strong><\/p>\n<p>Bi\u00ean \u0111\u1ed9 c\u00e0ng l\u1edbn \u2192 \u00e2m c\u00e0ng to.<\/p>\n<p>T\u1ea7n s\u1ed1 trong kho\u1ea3ng 20Hz \u2013 20kHz l\u00e0 \u00e2m nghe \u0111\u01b0\u1ee3c.<\/p>\n<h2><strong>Ch\u1ee7 \u0111\u1ec1 3: \u0110I\u1ec6N TR\u01af\u1edcNG \u2013 T\u1ee4 \u0110I\u1ec6N<\/strong><\/h2>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-135 size-full\" src=\"https:\/\/giapsgk.com\/chuyen-de\/wp-content\/uploads\/giapsgk-cac-cong-thuc-vat-ly-11-3.png\" alt=\"v\u1eadt l\u00fd 11 c\u00f4ng th\u1ee9c t\u1ed5ng h\u1ee3p\" width=\"691\" height=\"384\" \/><\/p>\n<p><strong>1. L\u1ef1c t\u01b0\u01a1ng t\u00e1c\u00a0<\/strong><\/p>\n<ul>\n<li>\u0110\u1ecbnh lu\u1eadt Coulomb: $F = k \\frac{|q_1 q_2|}{\\varepsilon r^2}$, v\u1edbi $k = 9 \\times 10^9 \\, \\text{Nm}^2\/\\text{C}^2$<\/li>\n<\/ul>\n<p><strong>2. C\u01b0\u1eddng \u0111\u1ed9 \u0111i\u1ec7n tr\u01b0\u1eddng<\/strong><\/p>\n<ul>\n<li>$\\vec{E} = \\frac{\\vec{F}}{q} = k \\frac{q}{r^2}$<\/li>\n<\/ul>\n<p><strong>3. C\u00f4ng c\u1ee7a l\u1ef1c \u0111i\u1ec7n<\/strong><\/p>\n<ul>\n<li>$A = qEd \\cos\\alpha$<\/li>\n<\/ul>\n<p><strong>4. Th\u1ebf n\u0103ng \u0111i\u1ec7n<\/strong><\/p>\n<ul>\n<li>$W = qEd$, v\u1edbi $d$ l\u00e0 kho\u1ea3ng c\u00e1ch trong \u0111i\u1ec7n tr\u01b0\u1eddng \u0111\u1ec1u.<\/li>\n<\/ul>\n<p><strong>5. Hi\u1ec7u \u0111i\u1ec7n th\u1ebf \u2013 \u0111i\u1ec7n th\u1ebf<\/strong><\/p>\n<ul>\n<li>$U = \\frac{A}{q} = Ed$<\/li>\n<li>$V = \\frac{W}{q}$<\/li>\n<\/ul>\n<p><strong>6. T\u1ee5 \u0111i\u1ec7n<\/strong><\/p>\n<ul>\n<li>$C = \\frac{q}{U}$, \u0111\u01a1n v\u1ecb: Fara (F)<\/li>\n<li>N\u0103ng l\u01b0\u1ee3ng t\u00edch tr\u1eef: $W = \\frac{1}{2}CU^2$<\/li>\n<\/ul>\n<h2><strong>Ch\u1ee7 \u0111\u1ec1 4: D\u00d2NG \u0110I\u1ec6N \u2013 M\u1ea0CH \u0110I\u1ec6N<\/strong><\/h2>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-136 size-full\" src=\"https:\/\/giapsgk.com\/chuyen-de\/wp-content\/uploads\/giapsgk-cac-cong-thuc-vat-ly-11-4.png\" alt=\"c\u00f4ng th\u1ee9c v\u1eadt l\u00fd 11 h\u1ecdc k\u1ef3 1\" width=\"495\" height=\"389\" \/><\/p>\n<p><strong>1. C\u01b0\u1eddng \u0111\u1ed9 d\u00f2ng \u0111i\u1ec7n<\/strong><\/p>\n<ul>\n<li>$I = \\frac{q}{t}$<\/li>\n<\/ul>\n<p><strong>2. \u0110\u1ecbnh lu\u1eadt Ohm<\/strong><\/p>\n<ul>\n<li>$I = \\frac{U}{R}$, v\u1edbi $R = \\rho \\frac{l}{S}$<\/li>\n<\/ul>\n<p><strong>3. Su\u1ea5t \u0111i\u1ec7n \u0111\u1ed9ng<\/strong><\/p>\n<ul>\n<li>$\\mathcal{E} = \\frac{A}{q}$, trong m\u1ea1ch k\u00edn: $\\mathcal{E} = IR + Ir$<\/li>\n<\/ul>\n<p><strong>4. C\u00f4ng su\u1ea5t \u0111i\u1ec7n<\/strong><\/p>\n<ul>\n<li>$P = UI = I^2R = \\frac{U^2}{R}$<\/li>\n<\/ul>\n<p><strong>5. N\u0103ng l\u01b0\u1ee3ng \u0111i\u1ec7n<\/strong><\/p>\n<ul>\n<li>$A = P \\cdot t = UIt$<\/li>\n<\/ul>\n<p style=\"text-align: center;\"><a href=\"https:\/\/giapsgk.com\/chuyen-de\/wp-content\/uploads\/giapsgk.com-CAC-CONG-THUC-VAT-LI-11.pdf\">C\u00c1C C\u00d4NG TH\u1ee8C V\u1eacT L\u00cd 11<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Kh\u00e1m ph\u00e1 c\u00e1c c\u00f4ng th\u1ee9c V\u1eadt l\u00fd 11 quan tr\u1ecdng theo t\u1eebng ch\u01b0\u01a1ng: Dao \u0111\u1ed9ng \u0111i\u1ec1u h\u00f2a, s\u00f3ng c\u01a1 \u2013 s\u00f3ng \u00e2m \u2013 giao thoa, \u0111i\u1ec7n tr\u01b0\u1eddng \u2013 t\u1ee5 \u0111i\u1ec7n, d\u00f2ng \u0111i\u1ec7n \u2013 m\u1ea1ch \u0111i\u1ec7n,&#8230; T\u00e0i li\u1ec7u t\u1ed5ng h\u1ee3p c\u00f4ng th\u1ee9c \u0111\u1ea7y \u0111\u1ee7, d\u1ec5 hi\u1ec3u, h\u1ed7 tr\u1ee3 \u00f4n thi h\u1ecdc k\u1ef3 v\u00e0 thi h\u1ecdc sinh &#8230; <a title=\"C\u00e1c c\u00f4ng th\u1ee9c V\u1eadt l\u00fd 11 (s\u00e1ch m\u1edbi) \u2013 \u00d4n t\u1eadp hi\u1ec7u qu\u1ea3 HK1 &#038; HK2\" class=\"read-more\" href=\"https:\/\/giapsgk.com\/chuyen-de\/cac-cong-thuc-vat-ly-11\/\" aria-label=\"\u0110\u1ecdc th\u00eam v\u1ec1 C\u00e1c c\u00f4ng th\u1ee9c V\u1eadt l\u00fd 11 (s\u00e1ch m\u1edbi) \u2013 \u00d4n t\u1eadp hi\u1ec7u qu\u1ea3 HK1 &#038; HK2\">\u0110\u1ecdc ti\u1ebfp<\/a><\/p>\n","protected":false},"author":1,"featured_media":137,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[4],"tags":[],"class_list":["post-126","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-ly-thuyet"],"_links":{"self":[{"href":"https:\/\/giapsgk.com\/chuyen-de\/wp-json\/wp\/v2\/posts\/126","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/giapsgk.com\/chuyen-de\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/giapsgk.com\/chuyen-de\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/giapsgk.com\/chuyen-de\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/giapsgk.com\/chuyen-de\/wp-json\/wp\/v2\/comments?post=126"}],"version-history":[{"count":6,"href":"https:\/\/giapsgk.com\/chuyen-de\/wp-json\/wp\/v2\/posts\/126\/revisions"}],"predecessor-version":[{"id":139,"href":"https:\/\/giapsgk.com\/chuyen-de\/wp-json\/wp\/v2\/posts\/126\/revisions\/139"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/giapsgk.com\/chuyen-de\/wp-json\/wp\/v2\/media\/137"}],"wp:attachment":[{"href":"https:\/\/giapsgk.com\/chuyen-de\/wp-json\/wp\/v2\/media?parent=126"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/giapsgk.com\/chuyen-de\/wp-json\/wp\/v2\/categories?post=126"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/giapsgk.com\/chuyen-de\/wp-json\/wp\/v2\/tags?post=126"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}