Objectives: 1. To investigate the characteristics of the series resonant circuit 2. To determine the resonance curve App

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Objectives 1 To Investigate The Characteristics Of The Series Resonant Circuit 2 To Determine The Resonance Curve App 1 (65.03 KiB) Viewed 36 times

Objectives 1 To Investigate The Characteristics Of The Series Resonant Circuit 2 To Determine The Resonance Curve App 2 (64.68 KiB) Viewed 36 times

Objectives 1 To Investigate The Characteristics Of The Series Resonant Circuit 2 To Determine The Resonance Curve App 3 (23.45 KiB) Viewed 36 times

Objectives 1 To Investigate The Characteristics Of The Series Resonant Circuit 2 To Determine The Resonance Curve App 4 (39.58 KiB) Viewed 36 times

Objectives: 1. To investigate the characteristics of the series resonant circuit 2. To determine the resonance curve Apparatus: Digital Multimeter (DMM); Dual Beams Oscilloscope; Function Generator, breadboard Components: Capacitor decade box; Resistor decade box; Inductor decade box PART A: Background of RLC Series Resonant Circuit Consider a RLC series circuit shown in Figure I and the relevant phasor diagram shown in Figure 2. In the phasor diagram it is assumed that the capacitive reactance is less than the inductive reactance. Figure 1 Ve Figure 2 Ve-Ve The magnitude of the impedance of the circuit in complex number form is equal to : V z = = = = R + X₁ + Xc Xc Now consider the circuit in Figure 1 in which the supply operates with a varying frequency. When the frequency is zero, i.e. corresponding to a d.c. supply, XL=27fL=0 and Xc= <= ∞0. 1 2nfC As the frequency increases, XL increases, while XC decreases inversely. At a frequency fs, XL=XC. resonance is said to have occurred. f, is called the resonant frequency and is equal to: It can be found from the phasor diagram that for the condition of resonance, the reactance of the inductor and the capacitor being equal, the supply voltage and the supply current are in phase and the circuit impedance is equal to the resistance R. The resonant current is dependent on the resistance and the value of current given by I = V R At resonance, the ratio of voltage across the capacitor or inductor to the supply voltage is called the Co, L 1 Q factor of the resonant circuit. Q- R wo,CR
ol 900 750m boom 450 300 150 PART B: To find the resonant frequency of Series RLC Circuit At L-H (internal resistance = 13 2) measured by DMM ell Function Generator Figure 3 Vin-2Vp-p connected CRO Chl State the resonant frequency equation: f= 2LC AC IK Freq St (Hz) C= 1 µF Calculate the resonant frequency, f= 1.1 Connect the circuit shown in Figure 3 and connect the CRO Ch2 across the VR- (Ground probe of the CRO must connect to the ground clip of the function generator) R= 102: 1.2(a) Vary the function generator frequency and observe the waveforms of Vin and VR- (Note: Throughout the experiment, Vin must be kept constant at 2 volt peak-peak when changing frequency, and adjust if require) 1.2(b) Record the peak values of V (observe by CRO) at different frequency and fill in the table: bak Ik 2K 3k 30k 20k K5K 2k 3k 4k 5k 30k 9k lok VR (Volt- Peak) [bom 3oom 500m 740m 860m 760m 660m 580m 440m 420m 300m 1.3 Plot the frequency response curve: VR (Y-axis) against frequency (X-axis) with suitable scale. VR 6k вк тк 40k 50k 7k 8k 8k * 9k lok
1. 2. Compare the experimental results with the theoretical results of the resonance frequency. Comment on the difference between the experimental results with the theoretical results.
1.5(a) Write down the formula and calculate the inductive reactance (XL) and capacitive reactance (Xc) when resonance occurs on the circuit. X₁: 211.1.2 Xc² 25₁.t.C 1.5(b) Is the circuit impedance equals to the resistance of the circuit when resonance occurs? Yes No?) Explain: (12), 1.5(c) State the relationship of the circuit current and impedance when resonance occurs in a RLC series circuit: Iis (Max /Min) at Impedance is (Max /Min) when resonance. 1.6 Calculate the Q-factor of the circuit where Q- Q R