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Unformatted text preview: Tam, Wilson Chi Hang ENGR 216 SP08 21/04/2008 Experiment #5: First-Order Transient Response of RC Circuits Introduction: This lab aims to demonstrate the relationship between the voltage and current in a capacitor, and to investigate the transient response and time constants of first-order RC circuits with ideal and non-ideal capacitors. We will be experimenting with a 1.0F, a 0.1F, and a 0.01F capacitor. We are to see how the capacitor charges up and discharge through time with a switched circuit. We will perform calculations on an ideal capacitor on MultiSIM by performing a transient analysis with zero initial voltage for the capacitor. Theory: The capacitor in question will behave as it supposed to be. When it is connected to a source, it will charge up. Moreover, when it is disconnected and be only connected to a resistor, then it will discharge itself in an exponential rate. Materials: 1.) DC Voltage source 2.) Resistors of various values (27, 33, 1k, and 10k) 3.) Capacitors with Capacitance of 1.0F, 0.1F, and 0.01F 4.) Oscilloscope for AC voltage input. 5.) DMM to measure values across the capacitor and resistor. Procedures: Part A: Figure A 1.) Perform a transient analysis with zero initial voltage on MultiSIM with =60s. 2.) Setup the circuit above, and the voltage should be monitored with a DMM. 3.) Observe the voltage every 20 seconds for about five minutes until steady state. 4.) Plot the voltage across the capacitor as a function of time in seconds. 5.) Observe the voltage across the capacitor for every 20 seconds, until fully discharged. 6.) Plot the voltage across the capacitor as a function of time in seconds. 7.) Calculate the leak resistance for the non-ideal capacitor circuitry. Tam, Wilson Chi Hang ENGR 216 SP08 21/04/2008 Part B: Figure B 1.) Perform an MultiSIM simulation with ? = 2cos 2 2000 ? . 2.) Setup the circuit above (Figure B) with ? = 2 cos 2 2000 ? . 3.) Measure the amplitude and phase angle of ? ? relative to ? ? ( ? ) 4.) Exchange the position of the resistor and the capacitor measure the amplitude and phase angle of voltage across the resistor. 5.) Make use of your results in part (3) and part (4) to write expressions for ? ? and ? as cosines with positive amplitudes. 6.) What is the phase difference between ? ? and the calculated ? ? 7.) Compare the results in parts (5) and (6). Part C: Figure C 1.) Setup the circuit with a source equal to a 2v pulse train (square wave) peak to peak, with a DC offset of 1V. 2.) Estimate the initial voltage and the steady state value across the capacitor. 3.) Estimate the time constant by measuring the voltage at a selected time....
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