{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# 磁耦合共振式无线电力传输\n", "\n", "> by [@Maxwell Jay](https://github.com/MaxwellJay256), 2023.12\n", "\n", "### 使用方法\n", "1. 修改 `f_0` 为实际测量的共振频率\n", "2. 修改 `V_pp_1` 为「研究振荡频率对电力传输效率的影响」实验中测得的电压峰峰值\n", "3. 修改 `V_pp_2` 为「研究无线电力传输的距离对传输效果影响」实验中测得的电压峰峰值\n", "4. 运行程序,得到两幅曲线图,在程序根目录下会保存为 `amplitude-frequency-curve.png` 和 `voltage-distance-curve.png`" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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eeEAPP/yw7r77bvXo0UM7duzQTz/9pCpVqhTpZ/P09NTAgQM1b948paam6p///GeeMe+99546d+6sZs2a6cEHH1SdOnV06tQpbdiwQUePHtWOHTuK9JwAYCrT+vwBAHJ57733DElG27Zt870/Li7OGDRokFGxYkXD29vbaNu2rfHDDz/kGpNfq/KsrCzj8ccfN6pWrWpYLJZcbcs/+eQTo169eoaXl5fRsGFDY9asWfYW3JdLTU01Hn30USMwMNCoUKGC0b9/fyM2NtaQZLz55pu5xp46dcp49NFHjZo1axqenp5GcHCwcdtttxkfffTRNV+DnFblOV+enp5G1apVjZtvvtl47bXXjISEhDzfc2Wr8ujoaGPo0KFGWFiY4eXlZQQFBRl33HGHsXXr1lzf99tvvxmtW7c2ypUrl6t199GjR40BAwYYFStWNAICAox77rnHOH78eJ723jmv0+nTp69aT45PP/3UiIyMNLy8vIxKlSoZt9xyi7FixYo8P3+vXr2MgIAAw9vb26hbt64xevToPLUX5Pjx48aTTz5p1K9f3/D29jZ8fX2N1q1bG6+99pqRlJRkH5ednW08++yzRpUqVQxfX1+jV69exoEDBwpsVX61tu8rVqwwJBkWi8U4cuRIvmPi4uKMkSNHGsHBwYanp6dRvXp144477jC+++67Qv1cAOAoLIZRhCtaAQD4S0xMjCIjI/Xll1+WeHMLAAAcAdc8AQCuKb9W4jNmzJCbm5tuvvlmEyoCAKD0cc0TAOCapk2bpm3btqlbt27y8PDQ0qVLtXTpUj300EOqWbOm2eUBAFAqWLYHALimFStWKCoqSnv27NGFCxcUFham++67T//4xz+uuQcRAABlBeEJAAAAAAqBa54AAAAAoBAITwAAAABQCC65UN1ms+n48ePy8/PLtbkjAAAAANdiGIZSUlIUGhp61U3nJRcNT8ePH6c7FAAAAAC7I0eOqEaNGlcd45Lhyc/PT9KlF8jf39/kaiSr1arly5erZ8+e8vT0NLscwI65CUfG/IQjY37CkTE/c0tOTlbNmjXtGeFqXDI85SzV8/f3d5jw5OvrK39/fyYwHApzE46M+QlHxvyEI2N+5q8wl/PQMAIAAAAACoHwBAAAAACFQHgCAAAAgEIgPAEAAABAIRCeAAAAAKAQCE8AAAAAUAiEJwAAAAAoBMITAAAAABQC4QkAAAAACoHwBAAAAACFQHgCAAAAgEIgPAEAAABAIRCeAAAAAKAQPMwuAAAAXL9sm6HN8YlKSElXkJ+32oYHyt3NYnZZAFAmEZ4AAHBSy3adUNSSPTqRlG4/FhLgrSn9Gqt30xATKwOAsollewAAOKFlu07okS+jcwUnSTqZlK5HvozWsl0nTKoMAMouwhMAAE4m22YoaskeGfncl3MsaskeZdvyGwEAuF6EJwAAnMzm+MQ8Z5wuZ0g6kZSujX+eLb2iAMAFcM0TAABO5lBiaqHGPfj5VnVrEKROEVXUOaKKwir7lnBlAFC2EZ4AAHAS6dZsfbnxkGas3Feo8WmZ2frx9xP68fdL1z/VDPRR54iq6hxRRR3rVlal8uVKslwAKHMITwAAOLisbJu+335MM1bs0/G/luu5u1kKvKbJIik4wFvvDGmpDXGJWn/gtLYfPq8jiRc1d/Nhzd18WBaL1CTU3x6mbqpdSd6e7qX4UwGA8yE8AQDgoAzD0PI9p/TWT7E6kHBB0qVW5E92r6/yXu56bM72S+Mu+56cHZ6m9GustuGV1Ta8sp7oXk8XMrK0Of6s1u8/q18PnFHsqRTtOpasXceS9eGaOJXzcFOb2pXsYapxqD/7RQHAFQhPAAA4oI1/ntXUZXu1/fB5SVJFX0892jVC93WoZT9D5O5mybPPU3AB+zxV8PLQrQ2r6daG1SRJCcnp+jXujNbvP6v1B07rVHKGfj1wVr8eOKupfz1fp7pVuF4KAC5DeAIAwIHsPp6kactitWbfaUmSj6e7xnYO10O31JG/t2eusb2bhqhH42Btjk9UQkq6gvy81TY8sFBnjIL8vTUgsoYGRNaQYRiKO31B6/ef0foDZ7Xxz7M6n2bleikAuALhCQAAB3DobKreXr5Pi3cclyR5uFk0tG2YHr81QkH+3gV+n7ubRR3qVr6h57ZYLIoI8lNEkJ9GdwqXNdumnUfP25f4RR8+x/VSACDCEwAApkpISde/fzmgOZsOK+uvBhB3tgjVxB71VbtKeVNq8nR3U+tagWpdK5DrpQDgMoQnAABMkJxu1cdr/9R/18XrojVbknRL/ap6plcDNa0eYHJ1uXG9FABcQngCAKAU5ezV9N6qAzqXZpUktaxZUc/2bnjDy+9KC9dLAXBVhCcAAEpBfns11a1aXs/0aqheTarJYnHOZW5cLwXAlRCeAAAoQVfbq2lgq+rycHczucLideX1UqkZWdrE9VIAygjCEwAAJaQwezWVdeW5XgpAGUJ4AgCgmBVlryZXk/d6qVSt33+a66UAOAXCEwAAxeR692pyVZeul6qgiKAKGt0pXFnZNu3geikADozwBADADUpISdfMnw9o7mbH2avJGXlwvRQAB+dw4Wnt2rV66623tG3bNp04cUILFixQ//79c435448/9Oyzz2rNmjXKyspS48aNNX/+fIWFhZlTNADAJSWnW/XRmj/1yXrH36vJGV3teqlfD5zRyeR0rpcCUKocLjylpqaqRYsWGjNmjAYOHJjn/ri4OHXu3Fljx45VVFSU/P39tXv3bnl7sxwCAFA60q3Z+mLDIb23+oDOO+leTc4ov+ulfj1wRuv2n+F6KQClwuHCU58+fdSnT58C7//HP/6hvn37atq0afZjdevWLY3SAAAuLivbpu+jj+lfK/fpxF97NUUEVdDTPRs49V5Nzujy66VGdaz91/VSSVq//wzXSwEoMQ4Xnq7GZrPpxx9/1N///nf16tVL27dvV3h4uJ5//vk8S/sul5GRoYyMDPvt5ORkSZLVapXVai3psq8ppwZHqAW4HHMTjqw056dhGFrxR4KmrzyguNOpki7t1TT+1rrq3yJEHu5uysrKKvE6cHXNQyuoeWgFjbultlIzsrTl0Dn9euCsfotL1L6EC3mul7oprKI61q2sTnUrq1GIX7FeL8X7JxwZ8zO3orwOFsMwjBKs5YZYLJZc1zydPHlSISEh8vX11auvvqpu3bpp2bJleuGFF7Rq1Srdcsst+T7OSy+9pKioqDzH58yZI19f1kMDAAq2P8miJYfddOjCpQ/Wvh6Gela3qXOwIc+ytb9tmZaUeel3GfvXV1Jm7qDk62GofoChBgGX/r8KVwMALiMtLU3Dhg1TUlKS/P39rzrWqcLT8ePHVb16dQ0dOlRz5syxj7vzzjtVvnx5zZ07N9/Hye/MU82aNXXmzJlrvkClwWq1asWKFerRo4c8PV17/w84FuYmHFlJz8/dx5M1feV+rd1/VpLk4+mm0R1r6cHOteXn4ns1OTvDMPTnmTT9FndWv8ad1cb4RKVmZOcaU6OSjzrVraxOdQPVvk6gKvkW7Xop3j/hyJifuSUnJ6tKlSqFCk9OtWyvSpUq8vDwUOPGjXMdb9SokdavX1/g93l5ecnLyyvPcU9PT4eaMI5WD5CDuQlHVtzzs8C9mm6LUJAfpyPKioah5dQwtKLGdKlrv17q1wNntH7/peuljp67qK+3HtXXW48W+XqpbJuh6PhEbTtjUeWjKeoQEUQLdTgk/n6/pCivgVOFp3LlyqlNmzaKjY3NdXzfvn2qVauWSVUBAMqCgvZqeqpnfdWqzF5NZdml/aUqqXWtShp/26X9pTbHJ2r9X2GqKPtLLdt1QlFL9vzVUMRdn+/fqpAAb03p11i9m4aY+4MCuGEOF54uXLigAwcO2G/Hx8crJiZGgYGBCgsL0zPPPKPBgwfr5ptvtl/ztGTJEq1evdq8ogEATqugvZr+3ruBmoSyV5MrKu/loW4Ng9StYZCkS8H6twNn7WGqoP2lAnw8NWfz4TyPdzIpXY98Ga0PRrQiQAFOzuHC09atW9WtWzf77YkTJ0qSRo0apdmzZ2vAgAH68MMP9cYbb2j8+PFq0KCB5s+fr86dO5tVMgDACbFXEworyM9b/SOrq39k9Vz7S60/cEYb4/5/f6mCGJIskqKW7FGPxsEs4QOcmMOFp65du+paPSzGjBmjMWPGlFJFAICypKC9mp7p1UA9G7NXE66uoP2l5m0+rG+3HS3w+wxJJ5LStTk+kXAOODGHC08AAJQEwzD00+5T+ufyWB1IuCBJCg3w1oQe9TUwsro83Ok7jqLLuV7q6Lm0q4anHAkp6aVQFYCSQngCAJR5G+LOauqyvYo5cl7SpWtUHusWoRHta121axpQWIXtxJiYmlnClQAoSYQnAECZtetYkqb9FKu1+05Lknw83TW2c7geuqWO/NmrCcWobXigQgK8dTIpXVe7+CBqyR7tPJqk5/s2pPU94IQITwCAMufgmVS9vWKflrBXE0qJu5tFU/o11iNfRssi5QpQOVfRda5XResPnNGC7ce0cs8pTehRX6M61GLJKOBECE8AgDIjISVd7/68X/M2H2GvJpS63k1D9MGIVpft83RJ8GX7PO08el6TFu7SjqNJeuWHPfp26xFF3dlE7erQRAJwBoQnAIDTy2+vpq4NquqZXuzVhNLVu2mIejQO1oYDCVq+bpN6dmmnDhFB9vbkzWtU1IJxnfTN1iOaumyv9p5M0eCPNmpAZHWW8gFOgPAEAHBaVpv0ya8H9eHaePteTZFhl/Zqas+/5MMk7m4WtQsP1Nk/DLULD8yzr5Obm0VD2oapV5NgvbU8VnM3H2YpH+AkCE8AAKeTlW3Tt9uOadp2d53P3CeJvZrgfCqVL6fXBzTTkDY1WcoHOAnCEwDAaeTdq8mikABvPdmjvu5uVSPPv/ADzoClfIDzIDwBAJxCnr2afDzVNShdr47qpAq+fLiEc7t8Kd8/l8dqDkv5AIfEn0IAgEPbdSxJIz/drKEfb1TMkfPy8XTX47dG6JeJndUt1JAXm9yiDKlUvpxeG9BMix7tpBY1ApSSkaVXftijO2au16Y/z5pdHuDyOPMEAHBI+e3VNKxdmB679dJeTVar1eQKgZJz1aV8fRoqyJ+zrYAZCE8AAIeSkJyud3/JvVfTXS1DNbEHezXBtRS0lG/FnlN6kqV8gCkITwAAh5CcbtV/1sTp0/UH2asJuEzOUr7BdOUDTEd4AgCYKt2arc83HNT7q+PYqwm4CpbyAeYjPAEATJGVbdP86KOasXK/TiSlS2KvJuBaWMoHmIvwBAAoVZf2ajqpt36KVdzpVElSaIC3JrBXE1BouZbyLdqtHUfO65Uf9uibLUf08l0s5QNKCuEJAFBqfos7o6nLYrUjZ68mX0891i1CI9rXkjctx4Eia16johY80tG+lC/2FEv5gJJEeAIAlLhdx5I07adYrd13WpLk4+muB7qE68Gb68jf29Pk6gDnxlI+oPQQngAAJeZaezUBKD4s5QNKHuEJAFDs2KsJMA9L+YCSQ3gCABRJts3Q5vhEJaSkK8jPW23DA+1NHtirCXAMLOUDSgbhCQBQaMt2nVDUkj321uKSFBLgref7NNTJ5HT2agIcDEv5gOJFeAIAFMqyXSf0yJfRMq44fiIpXePnxdhv1/trr6Ye7NUEOAyW8gHFg/O1AIBryrYZilqyJ09wupybRZp6dzMtm3CzejYJJjgBDiZnKd+qp7tqeLswWSzSgu3HdOvba/TJ+nhlZdvMLhFweIQnAMA1bY5PzLVULz82QwoLLM8mt4CDq+h7aSnfokc7qUXNirqQkaVXftij299dr01/njW7PMChEZ4AANeUkHL14FTUcQDMl7OU782BzVTJ19O+lG/CvO1KSObPMpAfwhMA4JoKuycTezcBziW/pXwLY46zlA8oAOEJAHBN9YIqyOMqy/EsutR1r214YOkVBaDYsJQPKBzCEwDgqlLSrRrz2Rb7ZrdXyolUU/o15nonwMmxlA+4OsITAKBA6dZsPfDZVu08mqRKvp6afEdjhQTkXpoXHOCtD0a0Uu+mISZVCaA4sZQPKBj7PAEA8mXNtunRr6K1KT5RFbw89NmYtmpeo6JGdaytzfGJSkhJV5DfpaV6nHECyp6cpXxssAv8P8ITACCPbJuhp77ZoZ/3JsjLw03/HXWTmteoKElyd7OoQ10+NAGuoqANdvu3DNULfRuxwS5cCsv2AAC5GIahyYt2afGO4/Jws+iDEa3Unn9hBlza1Zby/Xfdn7KylA8ugvAEAMhl2k+x+mrTYVks0vTBLXVrw2pmlwTAQeTXle/VH//QHXTlg4sgPAEA7N5ffUAfrI6TJL3Wv5nubBFqckUAHBFd+eCqCE8AAEnSlxsPadqyWEnS830aali7MJMrAuDIWMoHV0R4AgBoUcwxTVq0S5L0WLcI/e2WuiZXBMBZsJQProTwBAAubuWeU5r4zQ4ZhjSyQy091bO+2SUBcEIs5YMrIDwBgAvbEHdW4+ZEK9tmaEBkdb3Ur4ksFvZsAnB9WMqHso7wBAAuaseR83rgsy3KzLKpR+NqemtQc7mx2S2AYsBSPpRVhCcAcEH7TqVo1KzNSs3MVse6lTVzaKQ83PkrAUDxylnKN/VulvKhbOBvSgBwMYfPpmnEfzfpfJpVLWtW1Ecjb5K3p7vZZQEoo9zcLBrchqV8KBsITwDgQk4lp2v4JxuVkJKhBtX8NPv+Nqrg5WF2WQBcAEv5UBYQngDARZxLzdSI/27SkcSLqlXZV1+MbauKvuXMLguAi2EpH5wZ4QkAXEBKulWjZm3W/oQLCvb31pdj2ynI39vssgC4KJbywVkRngCgjEu3ZuuBz7Zq59EkVfL11JcPtFXNQF+zywIAlvLB6RCeAKAMs2bb9OhX0doUn6gKXh76fEw7RQT5mV0WAOTCUj44C8ITAJRR2TZDT32zQz/vTZCXh5s+GXWTmtUIMLssAMjX5Uv5RrRnKR8cE+EJAMogwzA0edEuLd5xXB5uFn04orXa1alsdlkAcE0Vfcvp1f55l/Ld/u46bWQpH0xGeAKAMmjaT7H6atNhWSzSvwa3VLeGQWaXBABFcuVSvn2nLmgIS/lgMsITAJQx768+oA9Wx0mSXh/QTP1ahJpcEQBcH5bywdEQngCgDPly4yFNWxYrSXqhb0MNbRtmckUAcONYygdHQXgCgDJiUcwxTVq0S5L0WLcIPXRzXZMrAoDixVI+mI3wBABlwMo9pzTxmx0yDGlkh1p6qmd9s0sCgBLBUj6YifAEAE5uQ9xZjZsTrWyboQGR1fVSvyayWCxmlwUAJSpnKd/iRzur5VWW8mXbDG2IO6tFMce0Ie6ssm2GiVXD2TlkeFq7dq369eun0NBQWSwWLVy4sMCxDz/8sCwWi2bMmFFq9QGAo9hx5Lwe+GyLMrNs6tG4mt4a1FxubgQnAK6jWY0AfZ/PUr4n5m3X15sPq/PUXzT04416Yl6Mhn68UZ2n/qJlu06YXTaclEOGp9TUVLVo0ULvvffeVcctWLBAGzduVGgonaQAuJ59p1I0atZmpWZmq2Pdypo5NFIe7g75tg4AJSq/pXyLYo7r2e9/14mk3NdCnUxK1yNfRhOgcF0c8m/ZPn366NVXX9WAAQMKHHPs2DE9/vjj+uqrr+Tp6VmK1QGA+Q6fTdOI/27S+TSrWtasqI9G3iRvT3ezywIAU+Us5VvwSCd5uud/Fj5n0V7Ukj0s4UOReZhdwPWw2Wy677779Mwzz6hJkybXHJ+RkaGMjAz77eTkZEmS1WqV1WotsToLK6cGR6gFuBxz0zGdSk7XsP9uUUJKhuoHVdDHIyLl5Wa43O+J+QlHxvw014X0DFmzCw5GhqQTSenacCBB7cIDS68wB8H8zK0or4NThqepU6fKw8ND48ePL9T4N954Q1FRUXmOL1++XL6+vsVd3nVbsWKF2SUA+WJuOo5Uq/TubnedvGhRFS9DI2qe12+rXfv3w/yEI2N+mmPbGYuka5+NX75uk87+4bpnn5ifl6SlpRV6rNOFp23btumdd95RdHR0obtJPf/885o4caL9dnJysmrWrKmePXvK39+/pEotNKvVqhUrVqhHjx4sQYRDYW46lpT0LI2avVUnLyarmr+X5j3QVjUq+ZhdlmmYn3BkzE9zVY5P1Of7t15zXM8u7Vz2zBPz8//lrEorDKcLT+vWrVNCQoLCwsLsx7Kzs/XUU09pxowZOnjwYJ7v8fLykpeXV57jnp6eDjVhHK0eIAdz03zp1mw9MidGvx9LViVfT331QDuFB/mZXZZDYH7CkTE/zdEhIkghAd46mZSugs4r+Xl5qENEkNxduEMp8/OSorwGDtkw4mruu+8+7dy5UzExMfav0NBQPfPMM/rpp5/MLg8Aip0126ZHv4rWpvhEVfDy0Odj2imC4AQABXJ3s2hKv8aSpIKiUUpGlt5fdaD0ikKZ4JBnni5cuKADB/5/MsfHxysmJkaBgYEKCwtT5cqVc4339PRUcHCwGjRoUNqlAkCJyrYZeuqbHfp5b4K8PNz0yaib1KxGgNllAYDD6900RB+MaKWoJXtytSsPCfBWu/BALYw5rrdX7JMkPX5bPbPKhJNxyPC0detWdevWzX4753qlUaNGafbs2SZVBQClyzAMTV60S4t3HJeHm0UfjmitdnUqX/sbAQCSLgWoHo2DtTk+UQkp6Qry81bb8EC5u1lUP9hP05bFEqBQJA4Znrp27SrDKHznk/yucwIAZzftp1h9temwLBbpX4NbqlvDILNLAgCn4+5mUYe6ef/haVzXCEkiQKFInO6aJwBwBe+vPqAPVsdJkl4f0Ez9WoSaXBEAlD3jukbo770vXfbx9op9mvnzfpMrgqMjPAGAg/ly4yFNWxYrSXqhb0MNbRt2je8AAFwvAhSKgvAEAA5kUcwxTVq0S5L0WLcIPXRzXZMrAoCyjwCFwiI8AYCDWLnnlCZ+s0OGIY3sUEtP9axvdkkA4DIIUCgMwhMAOIDf4s5o3JxoZdsMDYisrpf6NZHF4robNwKAGQhQuBbCEwCYLObIeT342VZlZtnUo3E1vTWoudxceMd7ADATAQpXQ3gCABPFnkzR6FmblZqZrY51K2vm0Eh5uPPWDABmIkChIPwNDQAmOXQ2Vfd9sknn06xqWbOiPh55k7w93c0uCwAgAhTyR3gCABOcTErXiE82KSElQw2D/TT7/jYq7+WQ+5YDgMsiQOFKhCcAKGWJqZm675NNOpJ4UbUq++rzsW1V0bec2WUBAPJBgMLlCE8AUIpS0q0aPWuz9idcULC/t74c205Bft5mlwUAuAoCFHIQngCglKRbs/XAZ1u182iSAsuX05cPtFXNQF+zywIAFAIBChLhCQBKhTXbpnFfRWtTfKL8vDz0+Zi2igjyM7ssAEAREKBAeAKAEpZtMzTxmx36ZW+CvDzc9MnoNmpaPcDssgAA14EA5doITwBQggzD0KRFu7Rkx3F5uFn04X2t1TY80OyyAAA3gADlughPAFCCpi6L1ZxNh2WxSDOGtFS3BkFmlwQAKAYEKNdEeAKAEvL+6gP6cE2cJOmNAc10R/NQkysCABQnApTrITwBQAn4YuMhTVsWK0n6R99GGtI2zOSKAAAlgQDlWghPAFDMFm4/psmLdkmSHr81Qg/eXMfkigAAJYkA5ToITwBQjFbuOaWnvt0hw5BGdailiT3qm10SAKAUEKBcA+EJAIrJb3FnNG5OtLJthgZGVteUfk1ksVjMLgsAUEoIUGUf4QkAikHMkfN68LOtysyyqWfjapo2qLnc3AhOAOBqCFBlG+EJAG5Q7MkUjZ61WamZ2eoUUVnvDo2UhztvrwDgqghQZRd/uwPADTh0NlX3fbJJ59Osalmzoj667yZ5e7qbXRYAwGQEqLKJ8AQA1+lkUrpGfLJJCSkZahjsp9n3t1F5Lw+zywIAOAgCVNlDeAKA65CYmqn7PtmkI4kXVauyrz4f21YVfcuZXRYAwMFcGaDeJUA5NcITABRRSrpVo2dt1v6ECwr299aXY9spyM/b7LIAAA7q8gA1nQDl1AhPAFAE6dZsPfDZVu08mqTA8uX05QNtVTPQ1+yyAAAOblzXCD3bu6EkApQzIzwBQCFZs20a91W0NsUnys/LQ5+PaauIID+zywIAOIlHutYlQDk5whMAFEK2zdDEb3bol70J8vJw0yej26hp9QCzywIAOBkClHMjPAHANRiGoUmLdmnJjuPycLPow/taq214oNllAQCcFAHKeRGeAOAapi6L1ZxNh2WxSDOGtFS3BkFmlwQAcHIEKOdEeAKAq3h/9QF9uCZOkvTGgGa6o3moyRUBAMoKApTzITwBQAG+2HhI05bFSpL+0beRhrQNM7kiAEBZQ4ByLoQnAMjHwu3HNHnRLknS47dG6MGb65hcEQCgrCJAOQ/CEwBcYeWeU3rq2x0yDGlUh1qa2KO+2SUBAMo4ApRzIDwBwGV+izujcXOilW0zNDCyuqb0ayKLxWJ2WQAAF0CAcnyEJwD4S8yR83rws63KzLKpZ+NqmjaoudzcCE4AgNJDgHJshCcAkBR7MkWjZ21Wama2OkVU1rtDI+XhzlskAKD0EaAcF58MALi8Q2dTdd8nm3Q+zaqWNSvqo/tukrenu9llAQBcGAHKMRGeALi0k0npGvHJJiWkZKhhsJ9m399G5b08zC4LAAAClAMiPAFwWYmpmbrvk006knhRtSr76vOxbVXRt5zZZQEAYEeAciyEJwAuKSXdqtGzNmt/wgUF+3vry7HtFOTnbXZZAADkQYByHIQnAC4n3ZqtBz7bqp1HkxRYvpy+fKCtagb6ml0WAAAFIkA5BsITAJdizbZp3FfR2hSfKD8vD30+pq0igvzMLgsAgGsiQJmP8ATAZWTbDE38Zod+2Zsgb083fTK6jZpWDzC7LAAACo0AZS7CEwCXYBiGXly4S0t2HJenu0UfjmittuGBZpcFAECREaDMQ3gCUOYZhqE3l+7V3M2H5WaRZgyOVNcGQWaXBQDAdSNAmYPwBKDMe391nP6z9k9J0hsDm+n25iEmVwQAwI0jQJU+whOAMu2LDQf11k+xkqQXb2+kwW3CTK4IAIDiQ4AqXYQnAGXWgu1HNWnRbknS+Fsj9ECXOiZXBABA8SNAlR7CE4AyacWeU3r6252SpNEda+vJHvVNrggAgJJDgCodhCcAZc5vB87o0TnRyrYZGtiquibf0VgWi8XssgAAKFEEqJJHeAJQpmw/fE4PfL5VmVk29WxcTdPubi43N4ITAMA1EKBKFuEJQJkRezJFo2dtUVpmtjpHVNHMYZHycOdtDgDgWghQJYdPFQDKhENnUzXik01KumhVZFhF/ee+1vLycDe7LAAATEGAKhkOGZ7Wrl2rfv36KTQ0VBaLRQsXLrTfZ7Va9eyzz6pZs2YqX768QkNDNXLkSB0/fty8ggGY6mRSuob/d5NOp2SoYbCfZo9uq/JeHmaXBQCAqQhQxc8hw1NqaqpatGih9957L899aWlpio6O1qRJkxQdHa3vv/9esbGxuvPOO02oFIDZElMzNeKTTTp67qJqV/bV52PbKsDX0+yyAABwCASo4uWQ/zTbp08f9enTJ9/7AgICtGLFilzH/v3vf6tt27Y6fPiwwsLYABNwFSnpVo36dLMOJFxQSIC3vnygnYL8vM0uCwAAh/JI17qSpKnL9mr6in3Kzs4WOx9eH4cMT0WVlJQki8WiihUr5nt/RkaGMjIy7LeTk5MlXVoCaLVaS6PEq8qpwRFqAS7nyHMz3ZqtMZ9H6/djSark66lZo1qrWgVPh6wVJcOR5yfA/ISjeaBTmLKzs/XPFfv1zi9x6lPDoh7MT0lF+3NqMQzDKMFabpjFYtGCBQvUv3//fO9PT09Xp06d1LBhQ3311Vf5jnnppZcUFRWV5/icOXPk6+tbnOUCKAVZNumTWDftOe8mb3dDjzXOVs0KZlcFAIDjW3nMoiWHLzVU6lMjW71rOnQUKBVpaWkaNmyYkpKS5O/vf9WxTh2erFar7r77bh09elSrV68u8IfN78xTzZo1debMmWu+QKXBarVqxYoV6tGjhzw9uVYDjsMR52a2zdBT3/6uH3edlLenmz4d2VptalcyuyyYwBHnJ5CD+QlH9uHqA3r75z8lSeNvravHu9U1uSJzJScnq0qVKoUKT067bM9qteree+/VoUOH9Msvv1z1B/Xy8pKXl1ee456eng71huZo9QA5zJyb2TZDm+MTlZCSriA/Ly2MOa4fd52Up7tFH45orY71gkypC46D9044MuYnHNHDXSO0f/9+LT7srnd/iZO7m7ue6F7P7LJMU5Q/o04ZnnKC0/79+7Vq1SpVrlzZ7JIAlIBlu04oaskenUhKz3XcImnG4Eh1bUBwAgDgetxW3VCDhvX01vL9+tfKfZLk0gGqsBwyPF24cEEHDhyw346Pj1dMTIwCAwMVEhKiQYMGKTo6Wj/88IOys7N18uRJSVJgYKDKlStnVtkAitGyXSf0yJfRym9dsSHJ3SE3WgAAwHk81CVc7u7uenPpXgJUITnkx4+tW7cqMjJSkZGRkqSJEycqMjJSkydP1rFjx7R48WIdPXpULVu2VEhIiP3rt99+M7lyAMUh22YoasmefIOTdOnMU9SSPcq2OfQlmwAAOLyHb6mr5/pc2gfqXyv36Z2V7AN1NQ555qlr1666Wh8LB+9xAeAGbY5PzLNU73KGpBNJ6docn6gOdVm2CwDAjXj4lksNIzgDdW0OeeYJgGtLSCk4OF3POAAAcHWcgSocwhMAhxPk512s4wAAwLURoK6N8ATA4bQND5Sfd8Grii2SQgK81TY8sPSKAgDABRCgro7wBMDh7DmerLTMrHzvs/z1/1P6NZa7myXfMQAA4PoRoApGeALgUC5kZOnxudHKtkkta1ZUcEDupXnBAd76YEQr9W4aYlKFAACUfQSo/Dlktz0Armvyol06eDZNoQHemn1/G/l5e2pzfKISUtIV5HdpqR5nnAAAKHl04cuL8ATAYSzYflTfRx+Tm0V6Z2ikKvpe2vSaduQAAJiDAJUby/YAOISDZ1L14oJdkqQnbquvNrVpBgEAgCNgCd//IzwBMF1mlk3j521Xama22oYH6rFbI8wuCQAAXIYAdQnhCYDp3l4eq51Hk1TR11PvDGnJNU0AADggAhThCYDJ1uw7rf+s/VOSNO3u5goJ8DG5IgAAUBBXD1CEJwCmOZ2Soae+iZEkjexQSz2bBJtbEAAAuCZXDlCEJwCmsNkMTfwmRmcuZKphsJ9e6NvI7JIAAEAhuWqAIjwBMMV/1/+pdfvPyNvTTTOHRsrb093skgAAQBG4YoAiPAEodTuOnNe0ZbGSpCn9mqheNT+TKwIAANfD1QIU4QlAqUpJt2r8vO3Kshm6vVmIhrSpaXZJAADgBrhSgCI8AShVkxft1qGzaape0UevD2wmi4W25AAAODtXCVCEJwClZv62o1qw/Zjc3Sx6d2hLBfh4ml0SAAAoJq4QoAhPAErFn6cvaNKiXZKkJ7vXU+tagSZXBAAAiltZD1CEJwAlLiMrW+PnbVdaZrba1wnUI10jzC4JAACUkLIcoAhPAErcW8titetYsir5emrG4Ei5u3GdEwAAZVlZDVCEJwAlalVsgv67Pl6S9NagFgoO8Da5IgAAUBrKYoDyMLsAAGVXQnK6nv5mhyRpdMfa6t64mskVAQCA0vTwLXUlSW8u3at/rdwnSXrs1ghtjk9UQkq6gvy81TY80GlWpRCeAJQIm83QxG926GxqphqF+Nv/5QkAALiWKwPUx+v+1IWMLPv9IQHemtKvsXo3DTGrxEJj2R6AEvGftX9q/YEz8vF018yhkfL2dDe7JAAAYJKHb6mrAZHVJSlXcJKkk0npeuTLaC3bdcKM0oqE8ASg2G0/fE5vL4+VJEXd2UQRQRVMrggAAJgp22Zo459n873P+Ov/o5bsUbbNyHeMo7ju8GS1WnXkyBHFxsYqMTGxOGsC4MSS060aP2+7smyG7mgeontuqmF2SQAAwGSb4xN1Iim9wPsNSSeS0rU53rFzRZHCU0pKij744APdcsst8vf3V+3atdWoUSNVrVpVtWrV0oMPPqgtW7aUVK0AHJxhGPrHgl06knhRNSr56PWBzWSxOMcFoAAAoOQkpBQcnK5nnFkKHZ6mT5+u2rVra9asWerevbsWLlyomJgY7du3Txs2bNCUKVOUlZWlnj17qnfv3tq/3/lbEQIomm+3HdWSHcfl7mbRu0Mj5e/taXZJAADAAQT5FW6rksKOM0uhu+1t2bJFa9euVZMmTfK9v23bthozZow+/PBDzZo1S+vWrVO9evWKrVAAji3u9AVNWbRbkjSxR321CqtkckUAAMBRtA0PVEiAt04mpSu/q5oskoIDLrUtd2SFDk9z584t1DgvLy89/PDD110QAOeTkZWtx+ds10VrtjpFVNYjf7UkBQAAkCR3N4um9GusR76MlkXKFaByFvhP6dfY4fd7KtI1T7t27SqpOgA4sTeX7tWeE8kKLF9O0+9tKTcHf+MDAAClr3fTEH0wopWCA3IvzQsO8NYHI1o5xT5PRdokt3nz5mrTpo0eeOABDRkyRH5+fiVVFwAn8fMfpzTr14OSpH/e01zV/B17rTIAADBP76Yh6tE4WJvjE5WQkq4gv0tL9Rz9jFOOIp15WrNmjZo0aaKnnnpKISEhGjVqlNatW1dStQFwcKeS0/XMdzslSWM6hevWhtVMrggAADg6dzeLOtStrLtaVleHupWdJjhJRQxPXbp00aeffqoTJ05o5syZOnjwoG655RbVr19fU6dO1cmTJ0uqTgAOJttmaMK8GCWmZqpJqL+e7dPA7JIAAABK1HVtklu+fHndf//9WrNmjfbt26d77rlH7733nsLCwnTnnXcWd40AHNCHa+K04c+z8i3nrplDI+Xl4W52SQAAACXqusLT5SIiIvTCCy/oxRdflJ+fn3788cfiqAuAA9t26Jymr9gnSYq6s4nqVK1gckUAAAAlr0gNI660du1affrpp5o/f77c3Nx07733auzYscVVGwAHlHTRqvFztyvbZuiulqEa1LqG2SUBAACUiiKHp+PHj2v27NmaPXu2Dhw4oI4dO+rdd9/Vvffeq/Lly5dEjQAchGEYemHB7zp2/qJqBvro1f5NZbE4z0WeAAAAN6JI4alPnz5auXKlqlSpopEjR2rMmDFq0ICLxAFX8c3WI/px5wl5uFk0c2gr+Xl7ml0SAABAqSlSePL09NR3332nO+64Q+7uXBwOuJIDCSmasni3JOnpXg3UsmZFcwsCAAAoZYUOT4cPH9bixYsL/cDHjh1T9erVr6soAI4lw5qtx+ZsV7rVpi71quihLnXMLgkAAKDUFbrbXps2bfTwww9ry5YtBY5JSkrSxx9/rKZNm2r+/PnFUiAA801dvl97T6aocvlyevveFnJzos3sAAAAikuhzzzt2bNHr732mnr06CFvb2+1bt1aoaGh8vb21rlz57Rnzx7t3r1brVq10rRp09S3b9+SrBtAKfk90aIvYg9Lkt6+t4WC/LxNrggAAMAchT7zVLlyZU2fPl0nTpzQv//9b9WrV09nzpzR/v37JUnDhw/Xtm3btGHDBoITUEacTE7XnLhLbxMPdglX1wZBJlcEAABgniK3Kvfx8dGgQYM0aNCgkqgHgIPIthl66tvflZZlUdNQfz3Tq6HZJQEAAJiq0GeeALiW91cd0OaD5+TlZuhf9zZTOQ/eLgAAgGvj0xCAPLYeTNSMny8tyb2njk21K7MBNgAAAOEJQC5JaVY9MS9G2TZDd7UIUZuqhtklAQAAOATCEwA7wzD03Pc7dez8RdWu7KuX+jUyuyQAAACHcUPh6dixYzp27Fhx1QLAZHM3H9HSXSfl4WbRu0MjVcGryD1lAAAAyqzrCk+//vqrwsPDFRYWprCwMFWrVk3PPvuskpOTi7s+AKVk36kURS3ZLUn6e+8Gal6jorkFAQAAOJjrCk9/+9vf1KhRI23ZskWxsbF66623tHLlSrVq1YozUYATSrdm6/E525WRZdPN9avqgc51zC4JAADA4VxXeIqLi9OMGTPUqlUrRUREaOTIkdq6dasiIyM1YcKEYi4RQEl77cc/FHsqRVUqeOnte1rIzc1idkkAAAAO57rCU6NGjZSQkJDrmMVi0csvv6xly5YVS2EASseyXSf1xcZDkqTp97ZQVT8vkysCAABwTNcVnkaPHq3HH39cR44cyXU8KSlJ/v7+xVIYgJJ3/PxFPTt/pyTpbzfX0c31q5pcEQAAgOO6rvA0YcIE7dixQ/Xq1dOwYcM0bdo0vfHGGxo7dqymTZt2w0WtXbtW/fr1U2hoqCwWixYuXJjrfsMwNHnyZIWEhMjHx0fdu3fX/v37b/h5AVeSbTM0YV6Mki5a1aJGgJ7q2cDskgAAABzadfUhPnHihGJiYrRjxw7FxMRo9uzZ2r9/vywWi6ZNm6alS5eqefPmat68uXr37l3kx09NTVWLFi00ZswYDRw4MM/906ZN07vvvqvPPvtM4eHhmjRpknr16qU9e/bI29v7en4kwOXM/GW/Nh9MVAUvD707NFLlPNj2DQAA4GquKzxVq1ZNvXr1Uq9evezH0tPT9fvvv9tD1eLFi/X666/r/PnzRX78Pn36qE+fPvneZxiGZsyYoRdffFF33XWXJOnzzz9XtWrVtHDhQg0ZMuR6fiTApWyOT9S7P186W/tq/6aqVbm8yRUBAAA4vmLbAdPb21tt2rRRmzZtiush8xUfH6+TJ0+qe/fu9mMBAQFq166dNmzYkG94ysjIUEZGhv12zn5UVqtVVqu1ROstjJwaHKEWlH3n06x6Yt522QxpQGSobm8aVODcY27CkTE/4ciYn3BkzM/civI6FEt4io6O1j//+U+dP39ezZo10yOPPKLatWsXx0PncfLkSUmXzn5drlq1avb7rvTGG28oKioqz/Hly5fL19e3+Iu8TitWrDC7BJRxhiF9us9NJ5LcVNXbUAfPw/rf/w5f8/uYm3BkzE84MuYnHBnz85K0tLRCjy2W8DR48GBFRUWpUaNGio6O1oABAzR16lT17NmzOB7+hj3//POaOHGi/XZycrJq1qypnj17OkR3QKvVqhUrVqhHjx7y9PQ0uxyUYV9tPqKdG/+Qp7tFH9/fXk1Crz7/mZtwZMxPODLmJxwZ8zO3nFVphVEs4alSpUoaNmyYJCkyMlL9+/fXrbfeWiLhKTg4WJJ06tQphYSE2I+fOnVKLVu2zPd7vLy85OWVd+8aT09Ph5owjlYPypa9J5P1+tJYSdKzvRuqZa3Khf5e5iYcGfMTjoz5CUfG/LykKK9BsbTXqlu3rt5++20ZhiFJqlixYnE8bL7Cw8MVHBysn3/+2X4sOTlZmzZtUocOHUrseQFndjEzW+Pnbldmlk3dGlTV2M7hZpcEAADgdIoUns6dO5fv8YyMDH3wwQcKCwtT79691bRpU3Xv3l3Hjh27rqIuXLigmJgYxcTESLrUJCImJkaHDx+WxWLRhAkT9Oqrr2rx4sX6/fffNXLkSIWGhqp///7X9XxAWffKj3u079QFVfXz0lv3tJDFYjG7JAAAAKdTpGV79evX1yuvvKK//e1vuT58ff/995Iu7c/0+++/a+fOndq5c6eGDh2q48eP68CBA0UqauvWrerWrZv9ds71SqNGjdLs2bP197//XampqXrooYd0/vx5de7cWcuWLWOPJyAfS38/oTmbDstikf51b0tVqZB3CSsAAACurUjhaeLEifr73/+uDz/8UDNnzlSXLl1y3V++fHm1b99e7du3v6Giunbtal8CmB+LxaKXX35ZL7/88g09D1DWHT2Xpmfn75QkPXxLXXWuV8XkigAAAJxXkZbtPf/884qNjVVkZKS6deumoUOHXvfSPAAlKyvbpgnzYpScnqWWNStqYo/6ZpcEAADg1IrcMCIkJESzZs3Spk2bdPToUTVo0ECvvvpqrk1oAZjv3Z/3a+uhc/Lz8tDMoZHydC+W/jAAAAAu67o/TbVu3Vrr1q3TJ598ok8++USNGjXSggULirM2ANdpQ9xZzVx16VrDVwc0Vc1Ax9kMGgAAwFnd8D9FDx48WHv37tXYsWM1atQo9ejRozjqAnCdzqVm6smvY2QY0j2ta+iultXNLgkAAKBMuO5NcjMzM7V3717t2rXL/uXj46NffvmlOOsDUASGYeiZ73bqZHK66lQtr6i7mphdEgAAQJlRpPAUFRVlD0pxcXHKyspSQECAmjZtqubNm6tv375q3rx5SdUK4Bq+2HhIK/84pXLubpo5NFK+5a7730cAAABwhSJ9svr222/VrFkzjRw5Us2aNVPz5s0VFhZWUrUBKII9x5P16o9/SJKe79tQTUIDTK4IAACgbClSeNq1a1dJ1QHgBqRlZunxudHKzLLptoZBGt2xttklAQAAlDn0LgbKgJeX7FHc6VQF+XnprXtayGKxmF0SAABAmUN4ApzcDzuPa96WI7JYpBmDWyqwfDmzSwIAACiTCE+AEzuSmKbnv/9dkjSua111jKhickUAAABlF+EJcFLWbJuemLddKelZahVWURO61ze7JAAAgDKN8AQ4qXdW7lf04fPy8/bQO0Mi5enOH2cAAICSxKctwAn9duCM3lt9QJL05sDmqhnoa3JFAAAAZR/hCXAyiamZmvB1jAxDGtKmpm5vHmJ2SQAAAC6B8AQ4EcMw9My3O5SQkqGIoAqa0q+J2SUBAAC4DMIT4ERm/3ZQP+9NUDkPN707JFI+5dzNLgkAAMBlEJ4AJ7H7eJLe+N9eSdI/+jZS41B/kysCAABwLYQnwAmkZWbp8bnblZltU/dG1TSyQy2zSwIAAHA5hCfACby0eLf+PJ2qYH9vvTWouSwWi9klAQAAuBzCE+DgFu84rm+2HpXFIs0Y0lKVypczuyQAAACXRHgCHNjhs2n6x/e/S5Ie7xah9nUqm1wRAACA6yI8AQ7Kmm3T+HnblZKRpZtqVdL42+qZXRIAAIBLIzwBDmr6in2KOXJe/t4emjGkpTzc+eMKAABgJj6NAQ5o/f4z+nBNnCRp6t3NVaOSr8kVAQAAgPAEOJgzFzL05DcxMgxpWLsw9WkWYnZJAAAAEOEJcCg2m6Gnv92h0ykZql+tgibd3tjskgAAAPAXwhPgQD79NV6rY0/Ly8NNM4e2kk85d7NLAgAAwF8IT4CD2HUsSVOX7ZUkvXhHYzUI9jO5IgAAAFyO8AQ4gNSMLD0+d7us2YZ6NammEe3CzC4JAAAAVyA8AQ5g8qLdij+TqpAAb029u7ksFovZJQEAAOAKhCfAZAu3H9P86KNys0jvDIlURd9yZpcEAACAfBCeABMdOpuqFxfukiSNv62e2oYHmlwRAAAACkJ4AkySmWXT+LnbdSEjS21rB+qxbhFmlwQAAICrIDwBJnl7eax2HE1SgI+nZgxpKQ93/jgCAAA4Mj6tASZYu++0/rP2T0nS1LubK7Sij8kVAQAA4FoIT0ApO52SoYnf7JAkjWgfpt5Ng02uCAAAAIVBeAJKkc1m6Klvd+jMhQw1qOanF29vbHZJAAAAKCTCE1CKPlkfr7X7Tsvb000zh0XK29Pd7JIAAABQSIQnoJTsPHpe037aK0mafEcT1a/mZ3JFAAAAKArCE1AKLmRk6fG522XNNtSnabCGtq1pdkkAAAAoIsITUAomLdylQ2fTVL2ij94c2FwWi8XskgAAAFBEhCeghH0ffVQLth+Tm0V6Z0hLBfh6ml0SAAAArgPhCShB8WdSNWnhLknShO71dVPtQJMrAgAAwPUiPAElJDPLpvFztys1M1vtwgP1aLcIs0sCAADADSA8ASXkrZ/26vdjSaro66kZQ1rK3Y3rnAAAAJwZ4QkoAatiE/TxunhJ0luDWigkwMfkigAAAHCjCE9AMUtISdfT3+yQJI3qUEs9GlczuSIAAAAUB8ITUIxsNkMTv96hs6mZahjsp+f7NjK7JAAAABQTwhNQjD5a96fWHzgjb083/XtYpLw93c0uCQAAAMWE8AQUk5gj5/XPn2IlSS/1a6KIID+TKwIAAEBxIjwBxSAl3arxc7cry2bo9uYhGtymptklAQAAoJgRnoAbZBiG/rFglw4npql6RR+9PqCZLBbakgMAAJQ1hCfgBn237agW7zgudzeL3h0aqQAfT7NLAgAAQAkgPAE3IO70BU1ZvFuSNLFHfbWuVcnkigAAAFBSCE/AdcrIytb4uduVlpmtDnUq6+Fb6ppdEgAAAEqQU4an7OxsTZo0SeHh4fLx8VHdunX1yiuvyDAMs0uDC5m6NFa7jyerkq+nZgxpKXc3rnMCAAAoyzzMLuB6TJ06VR988IE+++wzNWnSRFu3btX999+vgIAAjR8/3uzy4AJ+2XtKn/4aL0n65z0tVM3f2+SKAAAAUNKcMjz99ttvuuuuu3T77bdLkmrXrq25c+dq8+bNJlcGV3AqOV1Pf7tTknR/p9q6rVE1kysCAABAaXDK8NSxY0d99NFH2rdvn+rXr68dO3Zo/fr1mj59er7jMzIylJGRYb+dnJwsSbJarbJaraVS89Xk1OAIteDqsm2GJszbrsTUTDUK9tNT3SPK9O+NuQlHxvyEI2N+wpExP3MryutgMZzwQiGbzaYXXnhB06ZNk7u7u7Kzs/Xaa6/p+eefz3f8Sy+9pKioqDzH58yZI19f35IuF2XIimMW/XDYXeXcDD3dPFvVfMyuCAAAADciLS1Nw4YNU1JSkvz9/a861inD07x58/TMM8/orbfeUpMmTRQTE6MJEyZo+vTpGjVqVJ7x+Z15qlmzps6cOXPNF6g0WK1WrVixQj169JCnJ3sEOartR85r6H+3KNtm6I0BTTSoVXWzSypxzE04MuYnHBnzE46M+ZlbcnKyqlSpUqjw5JTL9p555hk999xzGjJkiCSpWbNmOnTokN544418w5OXl5e8vLzyHPf09HSoCeNo9eD/JV20auK3vyvbZqhfi1ANaVtLFovrdNdjbsKRMT/hyJifcGTMz0uK8ho4ZavytLQ0ubnlLt3d3V02m82kilCWGYahfyz4XUfPXVTNQB+9NqCpSwUnAAAAXOKUZ5769eun1157TWFhYWrSpIm2b9+u6dOna8yYMWaXhjLo261H9cPOE/Jws+jdIZHy9+ZfaAAAAFyRU4anmTNnatKkSRo3bpwSEhIUGhqqv/3tb5o8ebLZpaGMOZCQoimLd0uSnurZQJFhlUyuCAAAAGZxyvDk5+enGTNmaMaMGWaXgjIm22Zoc3yiElLSVdHXU2/8b68uWrPVOaKK/nZzHbPLAwAAgImcMjwBJWHZrhOKWrJHJ5LScx2v4OWh6fe2kJsb1zkBAAC4MqdsGAEUt2W7TuiRL6PzBCdJupCRpejD50yoCgAAAI6E8ASXl20zFLVkjwra8MwiKWrJHmXbnG5LNAAAABQjwhNc3ub4xHzPOOUwJJ1IStfm+MTSKwoAAAAOh/AEl5eQUnBwup5xAAAAKJsIT3B5QX7exToOAAAAZRPhCS6vbXigKvkWvPGtRVJIgLfahgeWXlEAAABwOIQnuLy40xd0MTM73/tympNP6ddY7rQqBwAAcGmEJ7i0xNRMjf1si9KzbIoIqqBg/9xL84IDvPXBiFbq3TTEpAoBAADgKNgkFy4rM8umh7/cpiOJFxUW6Ktv/tZBAT6e2hyfqISUdAX5XVqqxxknAAAASIQnuCjDMDRp4S5tjk+Un5eHPhl1kwLLl5Mkdahb2eTqAAAA4IhYtgeX9Mn6eH299YjcLNK7wyJVr5qf2SUBAADAwRGe4HJW7U3Q6//7Q5L0Qt9G6tYgyOSKAAAA4AwIT3Ap+06l6PG522UzpCFtamps53CzSwIAAICTIDzBZeR01ruQkaV24YF6+a6mslhoBgEAAIDCITzBJVzZWe+DEa1VzoPpDwAAgMLj0yPKvKt11gMAAAAKi/CEMo/OegAAACgOhCeUaXTWAwAAQHEhPKHMorMeAAAAihPhCWUSnfUAAABQ3AhPKHPorAcAAICSwCdKlCl01gMAAEBJITyhTKGzHgAAAEoK4QllxuWd9f5xe2M66wEAAKBYEZ5QJlzZWW9Mp9pmlwQAAIAyhvAEp0dnPQAAAJQGwhOcGp31AAAAUFr4lAmnRWc9AAAAlCbCE5wWnfUAAABQmghPcEp01gMAAEBpIzzB6dBZDwAAAGYgPMGp0FkPAAAAZiE8wWlc2VnvQzrrAQAAoBTxyRNOIb/OepXorAcAAIBSRHiCU6CzHgAAAMxGeILDo7MeAAAAHAHhCQ6NznoAAABwFIQnOCw66wEAAMCREJ7gkOisBwAAAEfDp1E4HDrrAQAAwBERnuBw6KwHAAAAR0R4gkOhsx4AAAAcFeEJDuPyznpD29JZDwAAAI6F8ASHcGVnvag76awHAAAAx0J4gunorAcAAABnwCdUmMowDL248Hc66wEAAMDhEZ5gqk/Wx+ubrUflZpFm0lkPAAAADozwBNNc2VmvK531AAAA4MAITzAFnfUAAADgbAhPKHV01gMAAIAzIjyhVNFZDwAAAM6KT60oNXTWAwAAgDMjPKHU0FkPAAAAzozwhFJxeWe9F+msBwAAACdEeEKJu7Kz3v101gMAAIATctrwdOzYMY0YMUKVK1eWj4+PmjVrpq1bt5pdFq5AZz0AAACUFR5mF3A9zp07p06dOqlbt25aunSpqlatqv3796tSpUpml4bLZGbZ9PAXlzrr1apMZz0AAAA4N6cMT1OnTlXNmjU1a9Ys+7Hw8HATK8KV7J31DtJZDwAAAGWDU4anxYsXq1evXrrnnnu0Zs0aVa9eXePGjdODDz6Y7/iMjAxlZGTYbycnJ0uSrFarrFZrqdR8NTk1OEItxeXTXw/aO+vNGNxctSp5l6mfz1WUxbmJsoP5CUfG/IQjY37mVpTXwWIYhlGCtZQIb29vSdLEiRN1zz33aMuWLXriiSf04YcfatSoUXnGv/TSS4qKispzfM6cOfL19S3xel3N7nMWfbzXTYYsGlA7W11DnG6KAQAAwEWkpaVp2LBhSkpKkr+//1XHOmV4KleunG666Sb99ttv9mPjx4/Xli1btGHDhjzj8zvzVLNmTZ05c+aaL1BpsFqtWrFihXr06CFPT0+zy7kh+09d0D0fb1JqRrYG31Rdr9zZmAYRTqwszU2UPcxPODLmJxwZ8zO35ORkValSpVDhySmX7YWEhKhx48a5jjVq1Ejz58/Pd7yXl5e8vLzyHPf09HSoCeNo9RRVYmqm/jZnu1IzstW+TqBe6d+cBhFlhLPPTZRtzE84MuYnHBnz85KivAZO+cm2U6dOio2NzXVs3759qlWrlkkV4crOeh8Mp7MeAAAAyhan/HT75JNPauPGjXr99dd14MABzZkzRx999JEeffRRs0tzSXTWAwAAgCtwyvDUpk0bLViwQHPnzlXTpk31yiuvaMaMGRo+fLjZpbmkT9bH2zvrzRwWqYggP7NLAgAAAIqdU17zJEl33HGH7rjjDrPLcHm/7D2l1//3hyTpxdsbq2uDIJMrAgAAAEqGU555gmPYdypF4+fGyGZIQ9vW1P2daptdEgAAAFBiCE+4LompmRr72RZdyMhS+zqBirqzKS3JAQAAUKYRnlBkdNYDAACAK+ITL4qEznoAAABwVYQnFAmd9QAAAOCqCE8otF/2ntJrdNYDAACAiyI8oVByOusZhjS0bRid9QAAAOByCE+4prMXMnJ11nv5riZ01gMAAIDLITzhqjKzbHrky+hcnfU83Zk2AAAAcD18CkaB6KwHAAAA/D/CEwpEZz0AAADg/xGekC866wEAAAC5EZ6QB531AAAAgLwIT8iFznoAAABA/ghPsKOzHgAAAFAwPhlDEp31AAAAgGshPEESnfUAAACAayE8IVdnvUl30FkPAAAAyA/hycVd2VlvdMfaZpcEAAAAOCTCkwujsx4AAABQeIQnF0VnPQAAAKBo+LTsggzD0D8W0FkPAAAAKArCkwv677p4fbuNznoAAABAURCeXMwve0/p9aV01gMAAACKivDkQmJP0lkPAAAAuF6EJxdBZz0AAADgxhCeXEBOZ72j5+isBwAAAFwvPkGXcXTWAwAAAIoH4amMu7yz3r+Ht6KzHgAAAHCdCE9l2JWd9W6pX9XkigAAAADnRXgqo+isBwAAABQvwlMZRGc9AAAAoPgRnsoYOusBAAAAJYNP1WUInfUAAACAkkN4KkPorAcAAACUHMJTGfHzH3TWAwAAAEoS4akMuNRZbzud9QAAAIASRHhycjmd9VIzs+msBwAAAJQgwpMTy8jK1sNfbqOzHgAAAFAK+KTtpAzD0IsLdmnLwXPy8/bQJ6Pa0FkPAAAAKEGEJyd1eWe994a1UkRQBbNLAgAAAMo0wpMTurKz3s101gMAAABKHOHJyVzeWW9YOzrrAQAAAKWF8ORELu+s16FOZUXdSWc9AAAAoLQQnpzElZ313h/eis56AAAAQCni07cToLMeAAAAYD7CkxOgsx4AAABgPsKTg6OzHgAAAOAYCE8OjM56AAAAgOMgPDkoOusBAAAAjoXw5IAu76xXm856AAAAgEPgE7mDubKz3n/prAcAAAA4BMKTg6GzHgAAAOCYPMwuwNVl2wxtik/UtjMWHVrzp6avPCBJmkxnPQAAAMChEJ5MtGzXCUUt2aMTSemS3KX9l4JTl3pVNIrOegAAAIBDYdmeSZbtOqFHvoz+Kzjltn7/Gf20+6QJVQEAAAAoCOHJBNk2Q1FL9si4ypioJXuUbbvaCAAAAAClqUyEpzfffFMWi0UTJkwwu5RC2RyfmO8ZpxyGpBNJ6docn1h6RQEAAAC4KqcPT1u2bNF//vMfNW/e3OxSCi0hpeDgdD3jAAAAAJQ8p24YceHCBQ0fPlwff/yxXn311QLHZWRkKCMjw347OTlZkmS1WmW1Wku8zitV9i3cy17Z18OU+oAcOfOPeQhHxPyEI2N+wpExP3MryutgMQzDaS+sGTVqlAIDA/Wvf/1LXbt2VcuWLTVjxow841566SVFRUXlOT5nzhz5+vqWQqW52QwpKtpd5zMlyZLPCEMVy0lTWmXLLb+7AQAAABSLtLQ0DRs2TElJSfL397/qWKc98zRv3jxFR0dry5Yt1xz7/PPPa+LEifbbycnJqlmzpnr27HnNF6ikeNY+pcfn7ZCkXI0jLH/976sDW6hXk2omVAb8P6vVqhUrVqhHjx7y9PQ0uxwgF+YnHBnzE46M+Zlbzqq0wnDK8HTkyBE98cQTWrFihby9va853svLS15eXnmOe3p6mjZh7mhZQx4e7pft83RJcIC3pvRrrN5NQ0ypC8iPmX9WgGthfsKRMT/hyJiflxTlNXDK8LRt2zYlJCSoVatW9mPZ2dlau3at/v3vfysjI0Pu7u4mVlg4vZuGqEfjYG04kKDl6zapZ5d26hARJHfW6gEAAAAOxynD02233abff/8917H7779fDRs21LPPPusUwSmHu5tF7cIDdfYPQ+3CAwlOAAAAgINyyvDk5+enpk2b5jpWvnx5Va5cOc9xAAAAACgOTr/PEwAAAACUBqc885Sf1atXm10CAAAAgDKMM08AAAAAUAiEJwAAAAAoBMITAAAAABQC4QkAAAAACoHwBAAAAACFQHgCAAAAgEIgPAEAAABAIRCeAAAAAKAQCE8AAAAAUAiEJwAAAAAoBA+zCzCDYRiSpOTkZJMrucRqtSotLU3Jycny9PQ0uxzAjrkJR8b8hCNjfsKRMT9zy8kEORnhalwyPKWkpEiSatasaXIlAAAAABxBSkqKAgICrjrGYhQmYpUxNptNx48fl5+fnywWi9nlKDk5WTVr1tSRI0fk7+9vdjmAHXMTjoz5CUfG/IQjY37mZhiGUlJSFBoaKje3q1/V5JJnntzc3FSjRg2zy8jD39+fCQyHxNyEI2N+wpExP+HImJ//71pnnHLQMAIAAAAACoHwBAAAAACFQHhyAF5eXpoyZYq8vLzMLgXIhbkJR8b8hCNjfsKRMT+vn0s2jAAAAACAouLMEwAAAAAUAuEJAAAAAAqB8AQAAAAAhUB4AgAAAIBCIDyVkrVr16pfv34KDQ2VxWLRwoULc91vGIYmT56skJAQ+fj4qHv37tq/f785xcLlXGt+jh49WhaLJddX7969zSkWLuWNN95QmzZt5Ofnp6CgIPXv31+xsbG5xqSnp+vRRx9V5cqVVaFCBd199906deqUSRXDlRRmfnbt2jXP++fDDz9sUsVwJR988IGaN29u3wi3Q4cOWrp0qf1+3juvD+GplKSmpqpFixZ677338r1/2rRpevfdd/Xhhx9q06ZNKl++vHr16qX09PRSrhSu6FrzU5J69+6tEydO2L/mzp1bihXCVa1Zs0aPPvqoNm7cqBUrVshqtapnz55KTU21j3nyySe1ZMkSffvtt1qzZo2OHz+ugQMHmlg1XEVh5qckPfjgg7neP6dNm2ZSxXAlNWrU0Jtvvqlt27Zp69atuvXWW3XXXXdp9+7dknjvvG4GSp0kY8GCBfbbNpvNCA4ONt566y37sfPnzxteXl7G3LlzTagQruzK+WkYhjFq1CjjrrvuMqUe4HIJCQmGJGPNmjWGYVx6r/T09DS+/fZb+5g//vjDkGRs2LDBrDLhoq6cn4ZhGLfccovxxBNPmFcUcJlKlSoZ//3vf3nvvAGceXIA8fHxOnnypLp3724/FhAQoHbt2mnDhg0mVgb8v9WrVysoKEgNGjTQI488orNnz5pdElxQUlKSJCkwMFCStG3bNlmt1lzvnw0bNlRYWBjvnyh1V87PHF999ZWqVKmipk2b6vnnn1daWpoZ5cGFZWdna968eUpNTVWHDh1477wBHmYXAOnkyZOSpGrVquU6Xq1aNft9gJl69+6tgQMHKjw8XHFxcXrhhRfUp08fbdiwQe7u7maXBxdhs9k0YcIEderUSU2bNpV06f2zXLlyqlixYq6xvH+itOU3PyVp2LBhqlWrlkJDQ7Vz5049++yzio2N1ffff29itXAVv//+uzp06KD09HRVqFBBCxYsUOPGjRUTE8N753UiPAG4piFDhtj/u1mzZmrevLnq1q2r1atX67bbbjOxMriSRx99VLt27dL69evNLgXIo6D5+dBDD9n/u1mzZgoJCdFtt92muLg41a1bt7TLhItp0KCBYmJilJSUpO+++06jRo3SmjVrzC7LqbFszwEEBwdLUp4OJ6dOnbLfBziSOnXqqEqVKjpw4IDZpcBFPPbYY/rhhx+0atUq1ahRw348ODhYmZmZOn/+fK7xvH+iNBU0P/PTrl07SeL9E6WiXLlyioiIUOvWrfXGG2+oRYsWeuedd3jvvAGEJwcQHh6u4OBg/fzzz/ZjycnJ2rRpkzp06GBiZUD+jh49qrNnzyokJMTsUlDGGYahxx57TAsWLNAvv/yi8PDwXPe3bt1anp6eud4/Y2NjdfjwYd4/UeKuNT/zExMTI0m8f8IUNptNGRkZvHfeAJbtlZILFy7k+lem+Ph4xcTEKDAwUGFhYZowYYJeffVV1atXT+Hh4Zo0aZJCQ0PVv39/84qGy7ja/AwMDFRUVJTuvvtuBQcHKy4uTn//+98VERGhXr16mVg1XMGjjz6qOXPmaNGiRfLz87OvxQ8ICJCPj48CAgI0duxYTZw4UYGBgfL399fjjz+uDh06qH379iZXj7LuWvMzLi5Oc+bMUd++fVW5cmXt3LlTTz75pG6++WY1b97c5OpR1j3//PPq06ePwsLClJKSojlz5mj16tX66aefeO+8EWa3+3MVq1atMiTl+Ro1apRhGJfalU+aNMmoVq2a4eXlZdx2221GbGysuUXDZVxtfqalpRk9e/Y0qlatanh6ehq1atUyHnzwQePkyZNmlw0XkN+8lGTMmjXLPubixYvGuHHjjEqVKhm+vr7GgAEDjBMnTphXNFzGtebn4cOHjZtvvtkIDAw0vLy8jIiICOOZZ54xkpKSzC0cLmHMmDFGrVq1jHLlyhlVq1Y1brvtNmP58uX2+3nvvD4WwzCM0gxrAAAAAOCMuOYJAAAAAAqB8AQAAAAAhUB4AgAAAIBCIDwBAAAAQCEQngAAAACgEAhPAAAAAFAIhCcAAAAAKATCEwAAAAAUAuEJAFBqLBaLFi5caHYZJSIzM1MRERH67bffSvQ5ateura1bt5bYcwAACkZ4AgDckNGjR8tischiscjT01PVqlVTjx499Omnn8pms+Uae+LECfXp06dQj+tsQevDDz9UeHi4OnbsWGLPUa5cOT399NN69tlnS+w5AAAFIzwBAG5Y7969deLECR08eFBLly5Vt27d9MQTT+iOO+5QVlaWfVxwcLC8vLxMrLRkGIahf//73xo7dmyJP9fw4cO1fv167d69u8SfCwCQG+EJAHDDvLy8FBwcrOrVq6tVq1Z64YUXtGjRIi1dulSzZ8+2j7v8bFJmZqYee+wxhYSEyNvbW7Vq1dIbb7whSapdu7YkacCAAbJYLPbbcXFxuuuuu1StWjVVqFBBbdq00cqVK3PVUrt2bb3++usaM2aM/Pz8FBYWpo8++ijXmKNHj2ro0KEKDAxU+fLlddNNN2nTpk32+xctWqRWrVrJ29tbderUUVRUVK4QeKVt27YpLi5Ot99+e6Gf56WXXlLLli316aefKiwsTBUqVNC4ceOUnZ2tadOmKTg4WEFBQXrttddyPWalSpXUqVMnzZs37+q/FABAsfMwuwAAQNl06623qkWLFvr+++/1wAMP5Ln/3Xff1eLFi/XNN98oLCxMR44c0ZEjRyRJW7ZsUVBQkGbNmqXevXvL3d1dknThwgX17dtXr732mry8vPT555+rX79+io2NVVhYmP2x3377bb3yyit64YUX9N133+mRRx7RLbfcogYNGujChQu65ZZbVL16dS1evFjBwcGKjo62LzFct26dRo4cqXfffVddunRRXFycHnroIUnSlClT8v1Z161bp/r168vPz89+7FrPI10Kg0uXLtWyZcsUFxenQYMG6c8//1T9+vW1Zs0a/fbbbxozZoy6d++udu3a2b+vbdu2Wrdu3fX+agAA14nwBAAoMQ0bNtTOnTvzve/w4cOqV6+eOnfuLIvFolq1atnvq1q1qiSpYsWKCg4Oth9v0aKFWrRoYb/9yiuvaMGCBVq8eLEee+wx+/G+fftq3LhxkqRnn31W//rXv7Rq1So1aNBAc+bM0enTp7VlyxYFBgZKkiIiIuzfGxUVpeeee06jRo2SJNWpU0evvPKK/v73vxcYng4dOqTQ0NBcx671PJJks9n06aefys/PT40bN1a3bt0UGxur//3vf3Jzc1ODBg00depUrVq1Kld4Cg0N1aFDh/KtBQBQcghPAIASYxiGLBZLvveNHj1aPXr0UIMGDdS7d2/dcccd6tmz51Uf78KFC3rppZf0448/6sSJE8rKytLFixd1+PDhXOOaN29u/2+LxaLg4GAlJCRIkmJiYhQZGWkPNFfasWOHfv3111zL5bKzs5Wenq60tDT5+vrm+Z6LFy/K29s717FrPY90aYnh5WerqlWrJnd3d7m5ueU6llN7Dh8fH6WlpRX4uACAkkF4AgCUmD/++EPh4eH53teqVSvFx8dr6dKlWrlype699151795d3333XYGP9/TTT2vFihX65z//qYiICPn4+GjQoEHKzMzMNc7T0zPXbYvFYl8u5+Pjc9WaL1y4oKioKA0cODDPfVcGpBxVqlTR77//nuvYtZ6noDqvVnuOxMRE+9k5AEDpoWEEAKBE/PLLL/r999919913FzjG399fgwcP1scff6yvv/5a8+fPV2JioqRLwSI7OzvX+F9//VWjR4/WgAED1KxZMwUHB+vgwYNFqqt58+aKiYmxP8+VWrVqpdjYWEVEROT5uvyM0OUiIyO1d+9eGYZR6Oe5Ebt27VJkZGS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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from matplotlib import pyplot as plt\n", "\n", "f_0 = 2258.8 # 测得系统实际共振频率,KHz\n", "\n", "# 幅度-频率曲线\n", "f = [f_0 - 160, f_0 - 80, f_0 - 50, f_0 - 30, f_0, f_0 + 30, f_0 + 50, f_0 + 80, f_0 + 160] # 频率,KHz\n", "V_pp_1 = [2.32, 4.16, 6.08, 8.72, 10.2, 8.04, 4.92, 2.24, 0.80] # 峰峰值,V\n", "\n", "plt.figure(figsize=(10, 6))\n", "plt.plot(f, V_pp_1, 'o-')\n", "plt.xlabel('Frequency (KHz)')\n", "plt.ylabel('$V_pp$ (V)')\n", "plt.title('Amplitude-Frequency Curve')\n", "plt.grid()\n", "plt.savefig('amplitude-frequency-curve.png')\n", "plt.show()\n", "\n", "# 电压-距离曲线\n", "distance = [10, 13, 16, 19, 22, 25, 28, 31] # 距离,cm\n", "V_pp_2 = [4.08, 7.68, 11.8, 15.0, 16.6, 15.8, 14.0, 11.0] # 峰峰值,V\n", "\n", "plt.figure(figsize=(10, 6))\n", "plt.plot(distance, V_pp_2, 'o-')\n", "plt.xlabel('Distance (cm)')\n", "plt.ylabel('$V_pp$ (V)')\n", "plt.title('Voltage-Distance Curve')\n", "plt.grid()\n", "plt.savefig('voltage-distance-curve.png')\n", "plt.show()" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.12.0" } }, "nbformat": 4, "nbformat_minor": 2 }