tag:blogger.com,1999:blog-38876166229399785142024-03-05T23:15:30.026-08:00Física modernaDr. Heinz Doofenshmirtzhttp://www.blogger.com/profile/13822875988906338527noreply@blogger.comBlogger2125tag:blogger.com,1999:blog-3887616622939978514.post-891925045064409602012-04-25T16:56:00.001-07:002012-04-25T16:56:49.915-07:00Corriente alterna y Circuito RL<br />
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<span style="font-size: 26pt;"><span style="color: #727ca3; font-family: "Wingdings 3"; font-size: 76%;"></span></span><span style="color: black; font-family: "Gill Sans MT"; font-size: 26pt;"> <span style="font-size: large;"><b style="background-color: #6fa8dc; color: black;">CORRIENTE ALTERNA. <span style="background-color: #6fa8dc;"></span></b></span></span></div>
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<span style="color: black; font-family: "Gill Sans MT"; font-size: 26pt;"><span style="font-size: large;">La corriente alterna es aquella cuya amplitud varia al
transcurrir el tiempo.</span></span><span style="font-size: large;"></span></div>
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<span style="font-size: large;"><span style="color: #727ca3; font-family: "Wingdings 3";"></span><span style="color: black; font-family: "Gill Sans MT";">Frecuencia:</span>
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<span style="font-size: large;"><span style="color: black; font-family: "Gill Sans MT";">Un ciclo esta formado por dos alternancias</span><span style="color: black; font-family: "Gill Sans MT";"> una positiva y
otra negativa.</span><span style="color: black; font-family: "Gill Sans MT";">
Frecuencia (f)</span><span style="color: black; font-family: "Gill Sans MT";"> es el numero de ciclos que ocurren en la unidad de tiempo. Se
mide en Hertz.</span></span></div>
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<span style="font-size: large;"><span style="color: black; font-family: "Gill Sans MT";">Periodo (T) es el tiempo de duración de un ciclo y se mide en
segundos (sg). El periodo es el inverso
de la frecuencia y viceversa. </span></span></div>
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<span style="color: black; font-family: Arial;"> T = 1/f o f = 1/T</span><span style="color: black; font-family: "Gill Sans MT";"> </span></span></div>
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<span style="font-size: large;"><span style="color: black; font-family: "Gill Sans MT";">Amplitud<br />
es la magnitud de la señal y se mide en el eje vertical. Al valor máximo de una
señal se le llama valor de pico y al valor cresta a cresta se le llama valor
pico a pico. Si la señal es de voltaje entonces seria: Valor pico= </span><span style="color: black; font-family: "Gill Sans MT";">Vp</span><span style="color: black; font-family: "Gill Sans MT";"> y valor pico a pico = </span><span style="color: black; font-family: "Gill Sans MT";">Vpp.</span></span></div>
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<span style="font-size: large;"><span style="color: black; font-family: "Gill Sans MT";"></span><span style="color: #727ca3; font-family: "Wingdings 3";"></span><span style="color: black; font-family: "Gill Sans MT";">Un valor generalmente utilizado para medir una señal
alterna es el valor </span><span style="color: black; font-family: "Gill Sans MT";">rms</span><span style="color: black; font-family: "Gill Sans MT";"> o valor efectivo. El
valor </span><span style="color: black; font-family: "Gill Sans MT";">rms</span> </span><span style="font-size: large;">y el valor pico se
relaciona mediante la ecuación:</span>
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</span><span style="color: black; font-family: "Gill Sans MT";">Vp</span><span style="color: black; font-family: "Gill Sans MT";">= 1.4rms </span><span style="color: black; font-family: "Gill Sans MT";">Vrms</span><span style="color: black; font-family: "Gill Sans MT";">= </span><span style="color: black; font-family: "Gill Sans MT";">Vp</span><span style="color: black; font-family: "Gill Sans MT";">/1.4</span></span></div>
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<span style="font-size: large;"><span style="color: black; font-family: "Gill Sans MT";">El valor </span><span style="color: black; font-family: "Gill Sans MT";">instantaneo</span><span style="color: black; font-family: "Gill Sans MT";"> de una señal es el valor que tiene la señal en un tiempo
dado. Se expresa de la siguiente manera:<br />
v= </span><span style="color: black; font-family: "Gill Sans MT";">Vp</span><span style="color: black; font-family: "Gill Sans MT";"> </span><span style="color: black; font-family: "Gill Sans MT";">sen</span><span style="color: black; font-family: "Gill Sans MT";">(w t)=</span><span style="color: black; font-family: "Gill Sans MT";">Vp</span><span style="color: black; font-family: "Gill Sans MT";"> </span><span style="color: black; font-family: "Gill Sans MT";">sen</span><span style="color: black; font-family: "Gill Sans MT";">(2</span><span style="color: black; font-family: Calibri;">π</span><span style="color: black; font-family: "Gill Sans MT";">*f*t) <br />
donde w= 2</span><span style="color: black; font-family: Calibri;">π</span><span style="color: black; font-family: "Gill Sans MT";">f, donde f es la
frecuencia y pi= 3.14 radianes=180 grados</span></span></div>
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<span style="font-size: x-large;"><span style="color: black; font-family: "Gill Sans MT";"> </span><u style="background-color: #6fa8dc;"><b><span style="color: black; font-family: "Gill Sans MT";">CIRCUITOS RL</span></b></u></span></div>
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<span style="font-size: large;"><span style="color: black; font-family: "Gill Sans MT";"> </span><span style="color: black; font-family: "Gill Sans MT";">En un </span><span style="color: black; font-family: "Gill Sans MT"; font-weight: bold;">circuito RL (resistor-inductor) serie</span><span style="color: black; font-family: "Gill Sans MT";"> en corriente
alterna, se tiene una resistencia y una bobina en serie. La corriente en ambos
elementos es la misma.</span></span></div>
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<span style="font-size: large;"><span style="color: black; font-family: "Gill Sans MT";"> </span><span style="color: black; font-family: "Gill Sans MT";"> </span><span style="color: black; font-family: "Gill Sans MT";">
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<span style="font-size: large;"><span style="color: #727ca3; font-family: "Wingdings 3";"></span><span style="color: black; font-family: "Gill Sans MT";">La tensión en la bobina está en fase con la corriente
(corriente alterna) que pasa por ella (tienen sus valores máximos
simultáneamente).</span></span></div>
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" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><br /></a></span></div>
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<span style="font-size: large;"><span style="color: #727ca3; font-family: "Wingdings 3";"></span><span style="color: black; font-family: "Gill Sans MT";">La tensión en la bobina está en</span><span style="color: black; font-family: "Gill Sans MT";"> fase con la
corriente (corriente</span><span style="color: black; font-family: "Gill Sans MT";"> alterna) que pasa por ella</span><span style="color: black; font-family: "Gill Sans MT";"> (tienen sus valores máximos simultáneamente). </span></span></div>
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xMlTCgrOz86COblhr01NR8nJ7Py83/vqxcLJZWUwC9+AQkJ4KVInb8yIw9F4+vrPwOwAEinqkrkNlt9U9PfRaKPRaKPRaJrItE/Ll8+GxcXvWvXfxeJrolEX4ye+rij479GB8G8NFks9fWfoWg8n5/vqxcLJZ04AXFx8NFH4MXHx7yQUVRUlJTE2bo1qqbmYwDTVGVG+/1zIkaAHgCypeV/c7mPFhQcAegBGB49ZRwtLbygJgUw1dR8HB0dyWZvKysrC7dD3SIIEArhsccgJga8G1nOCxkIgkRGrtu370WZ7DsAwzTI8NgC/WTmLdB71ZNM9l1a2gvr1q1KSkoOHFcW/pV7PGPNGkhLm2Kwa77IeO21XTLZP3FcOnmx7/3TGquqPk5KYuXmHpjeeMa4IMNxqUz2bWrqr+PiWKKQ2xV3dhIIICFhZGpNJgPvC/nmi4xLlwoATAAGrxPr3qqD77//8+bNGzMzU6cxBuqxejIAdJ88eQhF2VVVP/rq9YJRX38NPB7weJCcDA8+CIWFU9QjjOaLjAsXjgMoZ/5bv1cdNDX9fffuf7t48Xejg2AzvYkOQJ6buxdF2Yu8zLhyBVAUUBRWrYKtW+HGDRgamvqq+SKjpIQPIPdKhnTyIAGQDQ/XS6Vf6fU/jEaeBRlSHm9PmAydDkQiEIkgIwOWLwcuF/7616mv8gsZ43oi4wKzuKsFQA5gANACtE9vtiVMxhSqq4OsLEAQSE4GoRC8r61eYDKYD6wdXdH5mXuUggl37nw2uiBUAyAZDbOoj8JkeJZKBXv3woYNEBcHn3224OMZXssMGYBRpfpnWtoLHE6ie2STCRxOYlraCyrVPwGMs+rUhMmYWgoFHDkCCAKJiQs+BjoJGa0AWgBjbe3/zczciSBIXNwWPv8wn5/F5x/k87P4/MOxsZsRBMnM3FlX9xWAEUA7q65NKJOh1+tLS0sLCgqKioqKiooKCgpKS0v1ev2MbvLBB36aN5mEDGaM4TsGCxZr6+hSYd3oiIWyvPxtFmsrgiBZWaky2XezHQ4JZTI8eu+QSqUzuol7Rm2h51o99VrvjUuuWfMvUVHr718qrLt/re/6NWv+JS3thRkOobYDSMZEDs1eq0ePPzabbUY38dv6DE8jXVIAU3X1J9HRkSia6GmV132LspKT46OjI6urP5netMvYtq0BQA7QEtojXXP0FXD+PGzcCEeOwK1JXa14IOOrr766fPmyTqebGPmrr76qqKjo7Oz84YcfysrKPMaZbHRcCmD64Ye/xMRsOXZs7+SrvEYWZfF4+1E0ob7+xvSmapl1oJrOzu8bGr4cGqoFUIf26Phc/IsoFPDyy8BiwU9ed2qbSMaxY8eSkpI8rsvn8/k7duz48ccfz58/n5yc7NGybbIZNSmA8datvz76aFxe3mEA3SSrvJhFWbq8vEPJyfE1NdcAeqZRZkgAOgAUpaX5O3f+a1PT3wGsCsV/hPCM2qx9EjG91tWrgc2e8VxrVlZWbGysx/rltddeY7PZVVVVp0+fTkhIuOlpfSkCACUlJcnJKVu3RlVXu2fhJQCajo7/Kis7/+23AgDJ5Ku8OgBkPN6+iIil6ekvVVV9ASCb0t5kcFAsEJQcPvzSO+/kq9U3AYZ/+umT6OhIDme7QFAeerPwsyOjthYyMwFBgMMBgQC858pEMng8XkRERHp6+tgiwWQylZWVoSialJR0+/btCxcupKSkeKTH+8odL2Zn7qABkAsEb8XHP7R06dLi4tzJl5HeMyYQCks2blybnZ0GIAfQh/zKHY9kDA8PS6XSiT1YX42OCwSC+Pj4pUuXFhcXuw+6nW1kZWUpFIqzZ89yOBxvZHha7TeZqeq4IAWQmkx3hcILUVHrc3P3e22UMAZI78TEbEYQ5MyZ1wE6ALoAekJ7tZ9HMsRi8Z49ey5evDgusq9m1Ewmk1AojIqKys3NdR90O+hRKBQ4jufl5bHZbO9lBj8i4mfp6b+dqjrwWEFIAYbb2/9PTMzmpCSWUHhh8o6MRCh8Kzk5DkGQI0dSRaK/A2gANLdufZGe/tsQXiHskYzGxsaHHnooPT19XORvvgE+H/h8QFF48EEoKIC2tqkf4bHX2t7eHhMTg6JoZWWl2Wyur68/dOhQRESE26lXdnb2ZH3duVgVjC02upgm5OrVUw9+rFr14N69z6tU/wnQBWBYDFYF7h2Z3n33XeaIxWL56KOP4uLiTpw4MdlV7pU7WVmztF5k7A7Xrl379NNPKxSKy5cvR0RExMfHux0BehkFmZ0l0sQwgwHTzMydCsV/AGgBtIvEEmlimVFeXs5isZYtW3b27NnJrpq79SKO4zKZ7OWXX05JSamtrS0uLt6yZYtQKHTnM3OVRx9O460Xk5Ie9lQdTBlGJlnq6r7KytqFIEhs7GYe7yCPl8Hj7efxMni8gzExmxAEycraVV//NUA3gA7ASBDtQuGFxx57KFStF5l5k+TkZIaM5ORkHo/H4/FiYmKYI2+++aaXy31ivXjy5MkHH3wwPT19x44dLBZr7H4u2dnZXC63paVl4lU+sXi+V3JMY2L2O4BuADVAx2KweJ5st1gOh8McnE4FOsfR8atXr8bFxSEIsmLFiv3794/N5+zs7MjIyD/96U+i+wU+8pLgboq2T28xhxagY5F4SWDmTe7cuSMWi8Vi8Z07d5isdx+Zzj6xc7ReNJlMV69e3bhx48svvzzOZ+ipU6eWLFkSGxuL3i+Y6Fmlrq4uK+sIgiDJybFC4VvT86wyrlrxsgCsE0A+Wom8lZwcw2AROPseBqbmbr04NDR09erVH374Ydzxqqqq8+fPv/HGG/z7BT71xjR+kOP+haJSABWAAUAf9sY0U/nTenGcZu7BbTqIhD24zVL5+RAf7w/rRY9yVyuxsRvz8g6dOXO8ru7zuXh9rK39/MyZ43l5h2JiNoYrkWmKsV58/HHYtg3kcm8xF44MCHuK9bfc4xnMIlCx2FvkBSUDwt6l/Sr3GCiCAJsdYGQwIgiisrKysPAUn3+Czz8RG5uAIMhLLz3L42XyeGk83p6CgsyiotyiotyCgkwebw+Pl8bjZb700rMIgsTFJTBXFRaeqqysDHukn1ITrRcvXQKBwFsjA/xFxjiFd7GYV02ca7Vap74qIMgI73wzr5q4PuPTT6e+KiDImKjwblnzIf9bL85d4R325kl+tl6cu8K7cs6f/Gm9OHd5JMOj4R6zha7BYJi7Td/ikd+sF+cuj2QwE9ArV65kTm3ZsiUjI0OpVAKAXC7fvXv3hg0jPZqVK1fOwqZv8chv1otzl0cymAno/fv3M6cyMjJaWlrsdrv71KFDh5hTBw4caGpqYk6FNVH+9C49R3lpZ9TV1eXk5ERFRb344oufffaZ2Wx2nyoqKoqMjHz11VfDEyjeNTvrxTlqIVqgzc3NiYmJCIKkpKTIx8wL5efnoyhaU1PD/KtUKt0LW2pra327L23wSqGAvXuBzYY7d7xFC0oyZDIZm81GECQxMbG5udl9nHmZxsZGANBoNPv37+dyuRwOhxk93bt3rw/3pQ1SMb3WNWsgJQUkXpfJBiUZRqOxvLz8ueeei4qKys7Orqur6+3traysRFE0Pj6+tra2vr7+6NGjy5cvf/LJJ8+dO5efn79+/foHH3zQo73l4pHbehFB4OGHwbu1b1CSwejs2bNMnIqKCqVS+fTTTzM2dCqV6r333mNOvfrqq2q1GgA+/PDDQ4cOib1PL4aojEYQi0EshowMQBBgsYDLhX37wHsBGsRkvP3220ycy5cv19fXp6SkpKamKpVKgiDOnz/PnIqOjn7ttddMJpPFYlEqlTP1QBIaKi+Hbdtg2zZYvRo2b4br10EsBpkMMK8LqIOYjJs3b+bk5GzatOnFF1/MyMhYsWKF24aurq7uww8/LC0tRVEUQZDMzMxLly7duHGjr6/PJ8kLLhUUjNQgTz4JlZVTTJe4FcRkAEBra+v27dsRBImIiHjkkUfcNnQGg0Gj0QDA9evXuVzu8uXLEQSJj48PPUca01FR0Wx2/w5uMuRyOZfLRRBk8+bN169fd9vQffDBBxkZGWq1enBw8MaNG1u2bEEQJDY2dnGS4d79e9QGdloKbjLq6+u3bt3KfPWx60DT09MRBHn++ecLCgqOHj0aERHx5JNPlpeXT8dKJ/TkJmNGs5PBTYZMJktLS9u2bds4W8WysrKUlJSRRWApKdu2bRMKhT5JWDBqMZKBYZhUKhWLxVKpFBvT1DaZTI2NjTU1NSKRqLq6uqGhYTGvBJsdGbm5uUFMRiDI5SAo64BzyEITAWpGOzsyTp48iaKoRy99s9OiI4O2Wx2mTqJL47QO+DstnjVTMnCCkMlkqampcXFx4TJj9qJxO9lndPQYKNs0vF/5QzMlg3FvsW7dOt86zJyUDJfTQeN22oG5KGrkCEXSDhzABQDgomkCo+xWcFEAUFxcMo4Mj5FpAnO5aBdFTufONG530bSHhFFOmsBo3O5ykhOPuFyukZQTGO3AacxGWfsp64A7Mk3g5FCfs7+Xwmz335ak7MPOoX7nkIWyDtC4HWjaRVPMncFFAwDtIFykYzQ+RWPDTmu/c9BCDQ8yrzb2frSDYNJA2YacQxYaszEvR9mHqeEByjZEO3BweXhBNxnFRS5wYuAYdA5ZnNZ+2jY09umU3UoNDwJA852ah7dGszkpAoFgdCBg9k93a1IynMMDDmOHw9xF43ZwuVyU0zlgJs3dNGFnPgbZZyS6NEBiAFBccmGEDGZ0xkV7jOzsN7soJ2Ufms6dSUuPy+mYmDAatzv6uh2mTiZf7jtis7poihoedPQaHCY9ae5ydOvwDhneIXdaelykA1wumrA7+owOk54aHi0zXC6aJJwDZqJbS+hVhEFNdKpIc7eLJGkHQVpMDlOnc7CPsg44evROaz8AuGiKsvY7jB2EXkV0KnGD2tFroOzWkbx20UzJRJg6iZ5OQq/CtFKHUUfZBinrAGHswDsVeKeStJjcvHoigyo5ZXUNGGBITRhUhEHtMGgo6wDzdOeQxdXXDUO9fQbNlfffidy4ITeXP/o6c3r61GSQFiOmuIup2ynrgItyOgfNmFaKayRkX7fL6aQdOKFX2pUtgFsBXMUXRsi48PbbAC5w2DxGJvu6XU6SHOjFlFPf2dFr8EgGZRvCOxWYqoXsM91/pJXsN7ucJGkxYRoJpmrFNRJcK8VVrXb5XUzVSvZ2uUgHhdkIgwpTt5GWkctpB06au3GtFNO0E10ah6mT6JA7urQ0gVO4jehSY6pWTN2GqVsxZQvZ3+Oiaco6SHQqMHU7oVc7unV4hxxTtxNGHcM67SBIczeuldgVd+2qVlzVhimbMWUzrpUQBjWuV2KqFpu0gehU0g4PC1DOj4yBWkt/p3V2toFF7jB1EN1aQidzDphdNE1ZBxx6JfR0QF9X2b9fit0avWTJkqLTp0ZfZ05Pn5oMZ3+PXS62y5qowT6X00F0a2ySBkwmJjrklHWAGh7AtBK7qgVI7D4ySksBXGDt9RjZOdDroijnYN907kz297gopwcyhgdwrcQubSR7u+4/0kT2mVxOkjR32xV3MWWzw6R39veQvV2Yut3WVot3yGkCo7BhXCcbe7lzyIKr2+yyJsKgoYYHaWzYOWihhvpdTidlG8J1MrusCddKHaZOstdAYcM06XB06+zSRlwjoQbMtN1KWkyYssWubmVekCYwR5cWU4gxrYQ0dzktPUSn0i5ttCvuOnr05ICZ6NbaZU24VkLjHhY4nisCBIHlyPC/vyF1drQBZqSxYco25Bww07iNdhAOYwdYOm3K1qv/873HEhIQBDmc+tuq7/7hGu5nqr+5PH1qMijbEN6hsCvukn1Gym7FdTK74i6ukeDqdoexw9FrwNRtuEHFNA6K3fYmb70FDgzMeo+RmZ8UZbdO5840ZvNYEVLDg7hOZpeLyT7jvaTqZHb5XdLS43KSZF+3XXEX10mZfqmLdBAGjU1Sz5BBYza8Q26Xi0lzN1a8AmsAAAcYSURBVHM5ae6ySxowZYtzcPwgyr1njUYGABq341qpvb2e6NK6SBIAaAc+Eq3X4HKStINwdOswZTNp7hp9RLddLsY7ZJTd6qJp55AF07TjOqnHb3O+yIggt1cg//jjyf+ke3UA95X5tIMgO+W6hh+vlJZsWLt29Zo1u3e+1P7Dt2DRO/uMc3/61GTQDtzRY8BUrYReRfboMXUbrlc6evSYph3XSnG9ElO2OHoNTGR336T4zCmXxQhGjefII+246d3ZU/PT49caPTKBDAcOAC7K6ejR2+XiScno7bJLG3Gt9F7LY+Kz+u6N04+QIWty9OiZUm1SMvpGH9FnHPk22LDL5XJa+zGNZLJvU1RcjiApS5DHLvyuyGWZMD9A00694n8Vn344eguCIFmvHZVL2lw9HbRBTpq75v50tybvm9AUZR3ANO12uRjXtGNaiXPATA0PYlqpXdaEKVswRbOzr4eJ7Cbj3Bt5VKccenReIs/ozi4n6bQOkBYTZR8x+6WsA5hWapc3EV0ayjZE26xkj8GubLbLmpz9vfeRgduZOzjMXXbF3cnIcPb32pUtTEOEJh0AQJMO2m51UaO1ybgyw4HhepVN3oQbVJTd6nI6nIN9mLrNrmwmLSYX5ZzqV0uN+9W6mDZjfy/Yh4Cmii8UMpl55sQRyqgFcmQansaGXQ4caNrZrf37lT/ysw6f/cPv62pvAwCYtHa5mLQYZ/H0GZMBzE+hQ25rq7XLmnC9ksbttIPAO5W2tlq7pAFTtzkHLOPIOMs/RqpaoL/bS+QZ3ZnGbLhBY5c1kb0jdkq0fZjo1toVzXZFM9GpcHTriA65Tdpgk9Y7mTLD3GWTNeGadhq3jZDRo7fJmnCtlCYwGhvGtVLbmHbGyA2VrZi63dHbRdmGHL1dDlMn7cApuxXXScZGBgAXRZL9PZhWgqlaiW6dw9xF6FWYuo3QqyjbkIumaQIjujSYXEyOlqlkb5dN2ohrJZRtyEVTzsE+TNV6L4U05Rww21UtYO4Eiix+662RzMx7ndRJYMBEDVmcQxZHt5YatDBdOVwndWgltNlA95vILjU+h6fPhgyX0+EwddjkYrvirsOoczmIkVyWizH5XcKgoe3DHsjQtIHV7CXyjO48kQwXTdH2IaJDYZc22pXNeKeSMGgwTbtdIR6tTbrscrG7heVyko5evV0uxnWykTJDJ7PLmtw/KaBpGhsmunWYqhVTtmAaCaZsdXRpXA58pLk6NjIAuFwuJ+ns78V0MkzVYlc2Y6pWQq+mhvpdNAUANG4nurSY4i5pHv025i67rAnXSe/9atVt91I4noyRxW/nTp5wGlRg0mDqNkzdjqnbnP1mpp8PtgEw68GkdXZImXp51k+fDRlAU5R9mOzvcVp6KNsQUBTQNI3Z3EfcfQc3GUWFv6cGzUDiXiLP6M4uJ+kcHnSOqU1G6LAOkOZuss/oHOpjBnNIi4nCbC6aorBh0mJyDpqZ/rqLpii7lbSYnIN9LqfT5SSdg31kn5EaQyoAUJiN7O8hew2OHj3Z20VZB4By0k6Hx8gjCRvqJ83djh492Wekhr2lmbIPk31G52AfTTpcLpomMOdA770Ujh4BzAo05R4cKj572mUbBKvF0aN39OjJPhON2X3+9FmRMW0F0eh44CtAMtPXZIS9JMxZAZKZ4TIj4BQgmRkmI+AUIJkZJiPgFCCZGSYj4BQgmRkmI+AUIJkZJiPgFCCZGSYj4BQgmRkmI+AUIJnpYzLC/kDnLrdz1ZAiwy8+hGtra4vuV11d3cInw1dyO2QOKTJycnLEC65jx44h9+vYsWMLnwxfKTs7O3TIKCoqYl4mMjIyZcG1du3acWSsXbt24ZPhK0VGRjJvUVxc7JOvMzv5hoyCggIkLF/rD15cBs+/fENGeXk5s1Mtl8td+B9ZiJUZXC6XyczpbPI7f/INGUaj0Y8Vc4i1M9zyr/sQ35DhX7ndFCMIEhUVlZOTE3ZKPHeFAhkA0Nrayvh54nK5ra2t/k5OKChEyFAqlYxvuO3btzPbIYQ1R4UIGTqd7vHHH0cQ5PHHH9fpdP5OTigoaMjw3sj9/PPPGaf3iYmJn3/+ecA264JIQUMG4+VtMiUmJi5btgxBkGXLliUmJnqJWV5e7u9XCQ4FDRm5ubk+GT7i8/lTPyysICLDXWbs2LHjv3nSM8888+yzzz7zzDMez+7YsSNcZsxIQUOGu53R3NzcNnM1NzeH2xkzUtCQ4VZbW9vlmautrc3fCQ8yBR8Zp0+fnkXz4syZM/5OeJAp+MgoLCycBRlvvvmmvxMeZAo+Mm7evFlSUlJSUnLp0qWyqXTp0iUm8i0v2xaG5UnBR4ZbfX19UzY8F+feOT5REJNx7dq1Z6fS9evX/Z3MYFUQkzGdhWT+XRYV1ApiMtyLT73Iv0spg1pBTEZY86r/D92b2FBidwXIAAAAAElFTkSuQmCC" width="313" /></a></span></div>
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<span style="font-size: large;"><span style="color: black; font-family: "Gill Sans MT";"> </span></span></div>
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<span style="font-size: large;"></span></div>
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<span style="font-size: large;"></span></div>
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<span style="font-size: large;"><span style="color: #727ca3; font-family: "Wingdings 3";"></span><span style="color: black; font-family: "Gill Sans MT";">La corriente que circula por el circuito depende del valor
de la resistencia y la reactancia
inductiva de la bobina, que en su conjunto se llama impedancia
y es igual a:</span></span></div>
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<span style="font-size: large;"><span style="color: black; font-family: "Gill Sans MT";">I= E/Z, donde Z = √R² + X</span><span style="color: black; font-family: "Gill Sans MT";">L</span><span style="color: black; font-family: "Gill Sans MT";">²</span></span></div>
<span style="font-size: large;"><span style="color: black; font-family: "Gill Sans MT";">V</span><span style="color: black; font-family: "Gill Sans MT";">R</span><span style="color: black; font-family: "Gill Sans MT";"> = R*I, V</span><span style="color: black; font-family: "Gill Sans MT";">L </span><span style="color: black; font-family: "Gill Sans MT";">= X</span><span style="color: black; font-family: "Gill Sans MT";">L</span><span style="color: black; font-family: "Gill Sans MT";">*I, donde X</span><span style="color: black; font-family: "Gill Sans MT";">L </span><span style="color: black; font-family: "Gill Sans MT";">= 2π*f*L</span></span></div>
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</div>
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</div>
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</div>
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</div>
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</div>
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</div>
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<span style="color: black; font-family: "Gill Sans MT"; font-size: 26pt;"></span><span style="font-size: small;"><span style="color: black; font-family: "Gill Sans MT";">Existen unas leyes fundamentales que rigen a cualquier
circuito eléctrico. Estas son:</span></span></div>
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<span style="font-size: small;"><span style="color: #727ca3; font-family: "Wingdings 3";"></span><span style="color: black; font-family: "Gill Sans MT"; font-weight: bold;">Ley de corriente de </span><span style="color: black; font-family: "Gill Sans MT"; font-weight: bold;">Kirchhoff</span><span style="color: black; font-family: "Gill Sans MT";">: La suma de las
corrientes que entran por un nodo deben ser igual a la suma de las corrientes
que salen por ese nodo.</span></span></div>
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<span style="font-size: small;"><span style="color: #727ca3; font-family: "Wingdings 3";"></span><span style="color: black; font-family: "Gill Sans MT"; font-weight: bold;">Ley de tensiones de </span><span style="color: black; font-family: "Gill Sans MT"; font-weight: bold;">Kirchhoff</span><span style="color: black; font-family: "Gill Sans MT";">: La suma de las
tensiones en un lazo debe ser 0.</span></span></div>
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<span style="font-size: small;"><span style="color: #727ca3; font-family: "Wingdings 3";"></span><span style="color: black; font-family: "Gill Sans MT"; font-weight: bold;">Ley de Ohm</span><span style="color: black; font-family: "Gill Sans MT";">: La tensión en una
resistencia es igual al producto del valor dicha resistencia por la corriente
que fluye a través de ella.</span></span></div>
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<span style="font-size: small;"><span style="color: #727ca3; font-family: "Wingdings 3";"></span><span style="color: black; font-family: "Gill Sans MT"; font-weight: bold;">Teorema de </span><span style="color: black; font-family: "Gill Sans MT"; font-weight: bold;">Norton</span><span style="color: black; font-family: "Gill Sans MT";">: Cualquier red que
tenga una fuente de tensión o de corriente y al menos una resistencia es
equivalente a una fuente ideal de corriente en paralelo con una resistencia.</span></span></div>
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<span style="font-size: small;"><span style="color: #727ca3; font-family: "Wingdings 3";"></span><span style="color: black; font-family: "Gill Sans MT"; font-weight: bold;">Teorema de </span><span style="color: black; font-family: "Gill Sans MT"; font-weight: bold;">Thévenin</span><span style="color: black; font-family: "Gill Sans MT";">: Cualquier red que
tenga una fuente de tensión o de corriente y al menos una resistencia es
equivalente a una fuente ideal de tensión en serie con una resistencia.</span></span></div>
<span style="font-size: small;">
</span><span style="color: black; font-family: "Gill Sans MT"; font-size: 26pt;"><br /></span></div>
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<span style="color: black; font-family: "Gill Sans MT"; font-size: 26pt;"></span><span style="color: black; font-family: "Gill Sans MT"; font-size: 26pt;"></span></div>
</div>Dr. Heinz Doofenshmirtzhttp://www.blogger.com/profile/13822875988906338527noreply@blogger.com0tag:blogger.com,1999:blog-3887616622939978514.post-69362990124711049032012-03-07T22:49:00.000-08:002012-03-07T23:21:27.006-08:00Ondas transversales y longitudinales<div class="separator" style="clear: both; text-align: center;">
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<div style="margin-left: 1em; margin-right: 1em;">
¿Qué es una onda? </div>
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En términos físicos una onda es una perturbación que se propaga en un medio material (por ejemplo una cuerda) o por el vacio (las ondas electromagnéticas).<br />
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjLt2BmXoMHdtTQftqtnCuaJd133DMTv9zqmV2cGrsVeAyeogLFov98rYcgU-jekCqpeGb-pWA0gpyr4vD0cdW5yoeacGO_5LGmiXKPUYKb6H91nZ7ZNNo22uYY1qNv3aNS8MIJPu6v4Jg-/s1600/hertz-2011-hp.gif" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjLt2BmXoMHdtTQftqtnCuaJd133DMTv9zqmV2cGrsVeAyeogLFov98rYcgU-jekCqpeGb-pWA0gpyr4vD0cdW5yoeacGO_5LGmiXKPUYKb6H91nZ7ZNNo22uYY1qNv3aNS8MIJPu6v4Jg-/s1600/hertz-2011-hp.gif" /></a></div>
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CARACTERISTICAS: <br />
Algunas características de una onda:<br />
<ul>
<li>La posición más alta con respecto a la posición de equilibrio se llama <b><span style="color: #38761d;">Cresta</span></b><span style="color: black;">.</span></li>
<li><span style="color: black;">La posición más baja con respecto a la posición de equilibro se llama <b><span style="color: orange;">Valle</span></b>.</span></li>
<li><span style="color: black;">el máximo alejamiento de la onda con respecto a la posición de equilibrio se llama <b><span style="color: #cc0000;">Amplitud<span style="color: black;">. </span></span></b></span></li>
</ul>
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" 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" width="320" /></a><span style="color: black;"><b><span style="color: #cc0000;"><span style="color: black;"> </span></span></b></span><br />
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<ul>
<li><span style="color: black;"><b><span style="color: #cc0000;"><span style="color: black;"> </span></span></b><span style="color: #cc0000;"><span style="color: black;">La distancia que hay entre dos crestas o dos valles se llama <b><span style="color: #e69138;">Longitud de onda</span></b><span style="color: #e69138;"><span style="color: black;">.</span></span></span></span></span></li>
</ul>
<img alt="" height="166" 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" width="320" /><span style="color: black;"><span style="color: #cc0000;"><span style="color: black;"><span style="color: #e69138;"><span style="color: black;"> </span></span></span></span></span><br />
<ul>
<li><span style="color: black;"><span style="color: #cc0000;"><span style="color: black;"><span style="color: #e69138;"><span style="color: black;"> El tiempo transcurrido entre dos ondas consecutivas se llama<span style="color: #f1c232;"> <b style="color: #990000;">Periodo</b><span style="color: #990000;"><span style="color: black;">.</span></span></span></span></span></span></span></span></li>
<li><span style="color: black;"><span style="color: #cc0000;"><span style="color: black;"><span style="color: #e69138;"><span style="color: black;"><span style="color: #f1c232;"><span style="color: #990000;"><span style="color: black;">El número de ondas emitidas en cada segundo se llama <b><span style="color: #990000;">Frecuencia</span></b><span style="color: #990000;"><span style="color: black;">.</span></span></span></span></span></span></span></span></span></span></li>
</ul>
<span style="color: black;"><span style="color: #cc0000;"><span style="color: black;"><span style="color: #e69138;"><span style="color: black;"><span style="color: #f1c232;"><span style="color: #990000;"><span style="color: black;"><span style="color: #990000;"><span style="color: black;">Tipos de onda:</span></span></span></span></span></span></span></span></span></span><br />
<ul>
<li><span style="color: black;"><span style="color: #cc0000;"><span style="color: black;"><span style="color: #e69138;"><span style="color: black;"><span style="color: #f1c232;"><span style="color: #990000;"><span style="color: black;"><span style="color: #990000;"><span style="color: black;">Las ondas transversales.</span></span></span></span></span></span></span></span></span></span></li>
<li><span style="color: black;"><span style="color: #cc0000;"><span style="color: black;"><span style="color: #e69138;"><span style="color: black;"><span style="color: #f1c232;"><span style="color: #990000;"><span style="color: black;"><span style="color: #990000;"><span style="color: black;">Las ondas longitudinales. </span></span> </span></span></span></span></span></span></span></span></li>
</ul>
<div style="background-color: white;">
<span style="color: black;"><span style="color: #cc0000;"><span style="color: black;"><span style="color: #e69138;"><span style="color: black;"> Onda transversal</span></span></span></span></span></div>
<span style="color: black;"><span style="color: #cc0000;"><span style="color: black;"><span style="color: #e69138;"><span style="color: black;">Las ondas transversales son aquellas en donde el movimiento de las partículas que transporta la onda son perpendiculares a la dirección de propagación de la onda. Por ejemplo. al hacer vibrar una cuerda tensa.</span></span></span></span></span><br />
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Onda longitudinal<br />
Las ondas longitudinales son aquellas en donde el movimiento de las partículas que transporta la onda sucede en la misma direccion de propagación de la onda. Por ejemplo, el sonido.<br />
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<br />Dr. Heinz Doofenshmirtzhttp://www.blogger.com/profile/13822875988906338527noreply@blogger.com5