Lab Report 2 RLC Circuits - Obaidtech

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Abu Dhabi UniversityElectric Circuits IILab Report 2RLC CircuitsAuthor:Muhammad Obaidullah 1030313Mirza Mohsin 1005689Ali Raza 1012542Bilal Arshad 1011929Section 1October 12, 2012Supervisor:Dr. Montasir Qasymeh

AbstractIn this lab we were educated in series and parallel RLC circuit analysis and achieving resonance frequency in a series RLC circuit.1IntroductionWhen we apply an AC voltage across a series combination of coil capacitor and resistor, samecurrent will flow through them and the resistors current and voltage will be in phase while thoseof the capacitor and the coil will experience a phase shift.The apparent voltage is given by this formula:V Z*IThe current Ic leads Ir, assuming that the capacitor is resistance less, on the other hand thecurrent Il lags Ir , both by 90 degrees.The frequency where the capacitive reactance is equal to the inductive reactance is called theresonance frequency the impedance at this frequency is just the resistance of the circuit.2Experiment Set-upThe components were placed and fixed onto the training board and wires were used to connectthe components in the circuit as shown in the figures 2 and 3. A multimeter was used to calculateall the values as the multi-meter can calculate Current, resistance, and voltage.3List of Equipment used Breadboard Digital Multi Meter Function Generator Oscilloscope Breadboard Cables Resistor (1kΩ) Capacitor 0.22 µF Inductor 200 mH Silicon Diode 1N41481

44.1ProcedureExercise 1 - Series RLC circuitsFirst we connected a resister, conductor and a resistor in series, with Vrms 3V (sinusoidal), f 1 KHz and CH1, CH2 of oscilloscope as shown in the figure below.Figure 1: We had to do the calculations and find the voltages and phase angles and then comparethem to the values that we get from the oscilloscope.4.2Exercise 2 - Parallel RLC circuitsThen we had to connect them in parallel and find the values; the connections were made asshown in the figure below:Figure 2: After finding the related values we had to construct the phasor diagrams.4.3Exercise 3 - Resonance of series RLC circuitsFinally we were required to observe the effects of resonance frequency in a series RLC circuit.We connected the circuit as shown below and then used the equation introduced above to find theresonance frequency and then adjusted the function generator to set as to the one we obtained fromthe equation.2

Figure 3: After finding the related values we had to construct the phasor diagrams.5Results and DiscussionsAt the end of these exercises we got the following results:-5.1Exercise 1 - Series RLC circuitsFigure 4: Measuring the phase difference betweenthe voltages using Oscilloscope3

Figure 5: The series circuit on breadboardFigure 6: The series circuit phasor diagram5.2Exercise 2 - Parallel RLC circuits5.3Exercise 3 - Resonance in series RLC circuits4

Figure 7: Measuring the phase difference betweenthe voltages using Oscilloscope6Conclusion If voltage leads current then the circuit is inductive. If current leads voltage then the circuitis capacitive. The calculated and multisim values are different because multisim assumes some small resistance of its ammeter and not assume not large resistance for volt meter. Resonance happens when the impedance of a capacitor and inductor are equal and cancelout. So only real resistance is there. The energy stored in capacitor and inductor oscillatesbetween them.7QuestionsDiscuss the output that you have optioned and why is it different from what youexpected.We expected a straight line in the oscilloscope. But we got a small oscillating wave. This isbecause in real world some resistance is still there and it account for that error.5

Figure 8: Successful resonance was achieved at aparticular frequency6

Lab Report 2 RLC Circuits Author: Muhammad Obaidullah 1030313 Mirza Mohsin 1005689 Ali Raza 1012542 Bilal Arshad 1011929 Supervisor: Dr. Montasir Qasymeh Section 1 October 12, 2012. Abstract In this lab we were educated in series and parallel RLC circuit analysis and achieving reso-nance frequency in a series RLC circuit. 1 Introduction When we .

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