交流谐振电路PB05204044张雯实验组别:20实验目的:1研究RLC串联,并联电路的交流谐振电路。2学习测量谐振曲线的方法。3学习并掌握电路的品质因素Q的测量法法及物理意义。实验仪器:电阻箱,电容器,电感,低频信号发生器,双踪示波器。实验原理:RLC串联谐振电路。电路图如图2.2.4-1所示。电路总阻抗:回路电流:电流与信号源电压之间的位相差:在以上三个式子中,信号源角频率,容抗,阻抗,,表示电流相位落后于信号源电压相位,否则相反,各参数随w变化。趋势如图2.2.4-2所示,w很小时,,,电路呈容性。w很大时,,,整个电路呈感性。当抗容和阻抗相等时,Z=R,,,电路呈阻性,这个现象即为谐振。此时频率称为谐振频率,角频率即为谐振角频率,它们之间的关系是:,谐振时,通常用品质因素Q来反映谐振。电路的固有性质:Q值决定了谐振电路的通频带宽度,如图2.2.4-2(b)电流I从下降到时,在谐振曲线上对应两个频率w1和w2,,为通频带宽度。数据处理:L=0.2H,C=0.005uf,=2V,=80。(1)当,,,由原始数据可得下表。3.003.203.403.603.804.004.200.2420.2840.3200.3840.4720.580.760.2920.3360.3910.4600.5510.6750.8544.404.504.604.704.804.905.001.0281.2501.6002.1002.6502.8802.6601.1381.3511.6482.0832.7543.7864.8805.105.205.405.605.806.006.202.1001.8001.6400.850.680.5640.5004.6383.5062.0601.4241.0880.8830.7466.406.606.807.000.4400.3820.3400.3200.6480.5740.5160.469表一:电压峰峰值,电流峰峰值随频率变化表由上表可在做图表上作出I(mA)-f(Hz),如图所示:可知=4.88mAmA,,通频带宽度=5223-4858=365Hz由公式可得的理论值其相对误差为用三种公式计算Q值:三种公式计算结果近似相等,但存在一定误差,因为电路中存在其它等效电阻。(2)当,,,由原始数据可得下表。3.003.203.403.603.804.004.200.3600.4040.4800.5600.6400.8401.0800.2910.3350.3900.4580.5470.6670.8394.404.504.604.704.804.905.001.5001.7502.1052.6103.0003.0102.9601.1031.2931.5461.8882.3452.8903.2975.105.205.405.605.806.006.202.6602.2001.6001.2201.0200.8800.7603.2192.7591.8711.3571.0570.8670.7366.406.606.807.000.6500.6000.5240.480.6410.5690.5120.467由上表可在做图表上作出I(mA)-f(Hz),如图所示:可知=3.297mAmA,,通频带宽度=5289-4813=476Hz由公式可得的理论值其相对误差为用三种公式计算Q值:三种公式计算结果近似相等,...