Experiment 4 RLC Circuits The resistance,the electric capacitance and the inductance are basic elements for electric circuit. Series circuit constituted by RC,RL or RLC has different features,including the transient behavior,the steady-state characteristic,resonance characteristic.They all play an important role in applications.In this experiment,the transient and continuous periodic electric signals are observed and investigated by a digital storage oscilloscope,since the oscilloscope has a lot of useful functions 【Objectives.】 1.Study the basic operations on a digital storage oscilloscope; 2.Through the study on RC,RL and RLC series circuit's transient process,understand the electric charge and discharge rule of capacitor,electromagnetic induction characteristic of the inductor and the damping of oscillation circuit; 3 How to measure the amplitude frequency characteristic and the phase frequency characteristic of RC,RL and the RLC series circuits; 4 Survey the RLC electric circuit of the resonance frequency.Find the quality factor Q according to the amplitude-frequency curve. 【Principle】 1.The basic operations on a digital storage oscilloscope a.Observation and measurement of parameters of a continuous time signal using oscilloscope. b.Measurement of phase difference. Fig.I shows a phase-shifting circuit.There is a phase difference between the voltage of the input signal and the capacitor as shown in Fig.2.According to vector diagram of the voltage of signal generator and resistor (Fig.3),three ways can be expected to obtain the phase Fig 1 RC phase shifting circuit difference. △T △0=2π T (1) UR Fig 2 Two sinusoidal waves with a phase difference Fig 3 Vector diagram of Uc.UR1 Experiment 4 RLC Circuits The resistance, the electric capacitance and the inductance are basic elements for electric circuit. Series circuit constituted by RC, RL or RLC has different features, including the transient behavior, the steady-state characteristic, resonance characteristic. They all play an important role in applications. In this experiment, the transient and continuous periodic electric signals are observed and investigated by a digital storage oscilloscope, since the oscilloscope has a lot of useful functions. 【Objectives】 1． Study the basic operations on a digital storage oscilloscope; 2. Through the study on RC, RL and RLC series circuit’s transient process, understand the electric charge and discharge rule of capacitor, electromagnetic induction characteristic of the inductor and the damping of oscillation circuit; 3 How to measure the amplitude frequency characteristic and the phase frequency characteristic of RC, RL and the RLC series circuits; 4 Survey the RLC electric circuit of the resonance frequency. Find the quality factor Q according to the amplitude-frequency curve. 【Principle】 1. The basic operations on a digital storage oscilloscope a. Observation and measurement of parameters of a continuous time signal using oscilloscope. b. Measurement of phase difference. Fig.1 shows a phase-shifting circuit. There is a phase difference between the voltage of the input signal and the capacitor as shown in Fig.2. According to vector diagram of the voltage of signal generator and resistor (Fig. 3), three ways can be expected to obtain the phase difference. T ΔT Δϕ = 2π （1） t U T ΔT Fig 2 Two sinusoidal waves with a phase difference Fig 3 Vector diagram of Uc、UR Fig 1 RC phase shifting circuit