交流谐振电路-王浩宇.doc

交流谐振电路（实验报告）
PB08203127
王浩宇
实验数据
实验室给出数据：Vi=2V，L=0.2H，RL=80Ω（有问题！后面给予讨论），C=0.005μF

当R=400Ω时
f/kHz3.0373.4473.8164.0664.1104.2154.3104.4034.5184.605VR/V0.110.150.210.280.300.340.400.460.580.71f/kHz4.7104.8084.8564.9074.9515.005.055.115.205.31VR/V0.901.131.211.281.251.181.070.920.770.62f/kHz5.405.525.615.735.805.926.056.216.607.03VR/V0.540.440.390.340.310.270.240.220.170.14
谐振时：f0=4.928kHz,Vc=19.7V,VL=20.2V

当R=600Ω时
f/kHz3.0113.4153.8074.0074.1144.2074.3114.4094.5124.556VR/V0.180.240.350.420.480.540.640.740.870.93f/kHz4.6074.6494.7074.7584.8164.8524.9014.9585.015.06VR/V1.031.121.241.361.481.511.581.541.491.40f/kHz5.135.165.205.315.435.515.645.735.815.92VR/V1.451.191.210.930.780.690.600.530.490.44f/kHz6.056.246.627.05VR/V0.400.350.280.23
谐振时：f0=4.920kHz,Vc=15.0V,VL=15.4V
数据处理
（1）作谐振曲线，由曲线测出通频带宽度
1.R=400Ω
由原始实验数据可得下表
f/kHz3.0373.4473.8164.0664.1104.2154.3104.4034.5184.605I/mA0.2750.3750.5250.7000.7500.8501.0001.1501.4501.775f/kHz4.7104.8084.8564.9074.9515.005.055.115.205.31I/mA2.2502.8253.0253.2003.1252.9502.6752.3001.9251.550f/kHz5.405.525.615.735.805.926.056.216.607.03I/mA1.3501.1000.9750.8500.7750.6750.6000.5500.4250.350（其中I=VR/R）
以表中f为横坐标，I为纵坐标，在坐标轴上描点，得下图

图(1)
因为，
整理可得
即有（其中A、B、C、D由电路中的元件唯一确定）
以这个为函数原型，利用图(1)中各点进行曲线拟合（借助origin7.5实现），得
图(2)
Model:
Chi^2/DoF=0.00042
R^2=0.99958
A=0.61036±0.00564
B=0.2082 ±0.00035
C=-10.016±0.01876
D=121.35335±0.18948

故可得
所以由该表达式可知，当kHz时，取最大值mA。
当=2.243mA时，得4.709kHz，5.130kHZ。
所以kHz
2.R=600Ω
由原始实验数据可得下表
f/kHz3.0113.4153.8074.0074.1144.2074.3114.4094.5124.556I/mA0.3000.4000.5830.7000.8000.9001.0671.2331.4501.550f/kHz4.6074.6494.7074.7584.8164.8524.9014.9585.015.06I/mA1.7171.8672.0672.2672.4672.5172.6332.5672.4832.333f/kHz5.135.165.205.315.435.515.645.735.815.92I/mA2.4171.9832.0171.5501.3001.1501.0000.8830.8170.733f/kHz6.056.246.627.05I/mA0.6670.5830.4670.383（其中I=VR/R）

以表中f为横坐标，I为纵坐标，在坐标轴上描点，得下图

图(3)
显然有两点（表中红字）与其他偏离了，应该是在实验记录数据的时候笔误记录错了，在此予以忽略。
以为函数原型，利用图(1)中各点（除去偏离的两点）进行曲线拟合（借助origin7.5实现），得
Model:
Chi^2/DoF=0.00108
R^2 =0.99829