ANADOLU UNIVERSITY DEPARTMENT OF ELECTRICAL AND ELECTRONICS ENGINEERING EEM 102 INTRODUCTION TO ELECTRICAL ENGINEERING EXPERIMENT 4 THEVENIN’S THEOREM Prepared by Prof. Dr. Atila BARKANA EXPERIMENT 4 THEVENIN’S THEOREM OBJECTIVE: To observe the results of the Thevenin’s Theorem practically. PRELIMINARY WORK: Do parts A and B of the PROCEDURE at home using the nominal values of the elements. Your solutions and results should be hand written neatly on size A4 paper. Make sure you draw the graph in part B of the PROCEDURE. INTRODUCTION: Thevenin’s Theorem: Thevenin’s theorem says that a linear two-terminal network can be replaced by an ideal voltage source VTh , which is equal to the open-circuit voltage Voc between the terminals, in series with a resistance RTh, which is the resistance seen between the terminals with all the independent sources killed. Maximum Power: When a load RL is connected between the terminals A and B, to obtained maximum power in the load RL, it should be equal to RTh. In this case IL V RTH RL V , 2 RL VL = RL.IL = V , 2 PL = VL.IL V2 4 RL Potentiometers: Potentiometers are actually resistors with a center tap as seen in the figure. They can be used as voltage dividers. R1 = Resistance between a and c. R2 = Resistance between b and c. R = R1 + R2 = Resistance between a and b. Vout = V . R2 R Rheostas: Rheostas are actually potentiometers with b and c terminals shorted. Thus, they can be used as variable resistors. Using terminals a and c of a potentiometer with b open will also result in a variable resistor. Similarly, you may use b and c with a open. PROCEDURE: A.1. Take R1 = 560 Ω, R2 = 470 Ω, and R3 = 220 Ω. Measure the actual resistor values and record them in Table 1. 2. Set up the circuit below. Figure 1 3. Measure the open circuit voltage Voc between A and B. Write it in Table 2. 4. Connect a current meter between A and B to measure the short-circuit current isc. Write it in Table 2. 5. Disconnect the source E and short-circuit C and D. Then measure the equivalent resistance RTh. Write it in Table 2. 6. Calculate isc using the measured values of the resistors and write it in Table 2. 7. Calculate RTh using the measured values of the resistors and write it in Table 2. B.1. Take the R4 = 1 KΩ potentiometer and adjust its resistance to 100 Ω. 2. Connect the pot between A and B of Figure1 and measure VAB and write it in Table 3. 3. Increment the resistance of the pot by 100 Ω and repeat step B.2 until you reach 1000 Ω. 4. Calculate IR4 and PR4 for each step. 5. Plot PR4 versus R4. C.1. Measure Voc between A and B in Figure 1. 2. Connect the R4 = 1 KΩ pot between A and B. 3. Adjust the pot until you read VAB = VOC . 2 4. Take pot out carefully without changing its resistance and measure its resistance. 5. Fill out Table 4. Name: ………………………….. No :…………………………...... Table No:………………………. Group :………………………….. EXPERIMENT 4 THEVENIN’S THEOREM REPORT A. TABLE -1 : Resistor values Resistor R1 R2 R3 Nominal 560 1000 330 Measured TABLE -2 : Measured and calculated values of Voc, isc, and RTh. Voc isc RTh R’Th = Measured Calculated Compare the measured and calculated values of RTh and explain the difference. ....................................................................................................................................................... ....................................................................................................................................................... ....................................................................................................................................................... ....................................................................................................................................................... Compare the measured and calculated values of R’Th and explain the difference. ....................................................................................................................................................... ....................................................................................................................................................... ....................................................................................................................................................... ....................................................................................................................................................... Compare the measured and calculated values of RTh and R’Th and explain the difference. ....................................................................................................................................................... ....................................................................................................................................................... ....................................................................................................................................................... ....................................................................................................................................................... B. TABLE -3 : Power obtained at the load. R4 (ohms) 100 200 300 400 500 600 700 800 900 1000 VR4 IR4 PR4 What can you say about the behavior of the power that can be obtained between A and B. ....................................................................................................................................................... ....................................................................................................................................................... ....................................................................................................................................................... C. TABLE -4 : Voc Voc / 2 Measured R4 What can you say about this value of R4 ? ....................................................................................................................................................... ....................................................................................................................................................... ....................................................................................................................................................... ....................................................................................................................................................... Date: Table No: Name: No: Pre-Lab Grades Report Performance Total