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Material Type: Lab; Professor: Khabari; Class: CIRCUIT THEORY II; Subject: Electronics; University: Wentworth Institute of Technology; Term: Unknown 1989;
Typology: Lab Reports
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Wentworth Institute of Technology Name: Department of Electronics and Mechanical Date: ELEC 195 - Circuits Theory II
Objective:
1. To become familiar with the step response of an RC circuit. 2. To become familiar to Agilent VEE software 3. To compare the mathematical expression of the voltage across the capacitor with the experimental data obtained via Agilent VEE Equipment Required: Resistors: 100 K, 100 K Capacitors: 100 F Leads: 2 pairs of banana to alligators clips Jumpers A breadboard Resume of Theory: We consider the currents and voltages that arise when energy is being acquired by an inductor or capacitor due to the sudden application of a dc voltage or current source. RL and RC circuits are also known as first-order circuits , because the voltages and currents described by first-order differential equation. A sudden application of a dc voltage can be achieved by placing an analog switch after the voltage source.
Procedure: Measure the actual value of R 1 and R 2. R 1 (measures) = ____________ R 2 (measures) = ____________ RT = R 1 (measures) + R 2 (measures) = ________________ Construct the circuit of Fig. 1.1 on your breadboard. Connect a voltmeter across the capacitor to monitor the capacitor voltage as a function of time. You can use the output off/on switch on your power supply would act as a switch shown in Fig. 1.1. Set the power supply voltage to 10 volts before connecting the dc power supply to the circuit. Fig, 1 One time constant ( = RT.C) occurs when the voltage across the capacitor reaches 63.2% of its final value. If the switch is turned on at t = 0 sec, the time constant occurs when the voltage across the capacitor reaches 6.32 volts. Before turning the power supply on, make sure that there is no initial voltage on the capacitor. You can discharge the capacitor by simply shorting the two terminals of the capacitor. Note: Electrolytic capacitors are polarized , i.e. they have a + terminal and a - terminal. Be sure to connect the + terminal to the positive supply and the - terminal to ground. If connected backwards, an electrolytic capacitor stops being a capacitor and conducts a large DC current. This current can heat up the capacitor to the point where it may EXPLODE. Unfortunately it's not immediately obvious by looking at most electrolytic capacitors which terminal is positive and which is negative. Most are marked only on the negative terminal, and not with a simple minus sign, but a "minus inside an oval" symbol ( ).
The voltage across the capacitor will rise exponentially to reach a steady state voltage of 10V. Using Agilent VEE program, obtain the step response of the RC circuit ( Vc vs. time ) mathematically (using the measured values of R & C) and experimentally. Monitor the voltage at least for 5 (time constant). Compare the two plots (the experimental and the theoretical plot) obtained from Agilent VEE. Comment on the accuracy of the results. What contributed to the inaccuracy between the two plots. Computer Simulation: Using Pspice, simulate the step response of the RC circuit. Hint: To make sure that there is no initial voltage on the capacitor, you can place a switch parallel to the capacitor which open at t = 0 sec. Thus, the capacitor is shorted prior to the closing of the main switch (Fig. 3). If you double click on the capacitor and set IC (the initial condition) to zero, you do not need to use to the second switch to short the capacitor prior to the closing of the mail switch. Fig. 3 The switch part in Pspice has internal resistance when the switch is closed and opened. If the resistance of the switch is not small enough when the switch is closed and it is not big enough when the switch is closed, you can adjust the switch internal resistance values by double clicking on the part (Fig. 4). Change Ropen to the larger number (For example 10000Meg).