Lab Experiment No. 4: Introduction to the Principle of Superposition

EE 442 Laboratory Experiment 4Introduction to the Principle of SuperpositionEE 442Fall 2006Lab Experiment No. 49/6/2006Introduction to the Principle ofSuperposition1

EE 442 Laboratory Experiment 4Introduction to the Principle of Superposition2, for i 1 ’, i 2 ’, and i 3 ’, and record your results in the spaces provided(in Figure 2).R14.7k12VdcV1R2i1'10ki3'R3i2'33kFigure 2 Circuit in Figure 1 with the lower source suppressedI 1 ’ = __________I 2 ’ = __________I 3 ’ = __________C. Suppress the upper voltage source in the circuit of Figure 1 byreplacing it with a short circuit. Solve the resulting circuit, shownin Figure 3, for i 1 ’’, i 2 ’’, i 3 ’’, and record your results in the spacesprovided.3

EE 442 Laboratory Experiment 4Introduction to the Principle of SuperpositionR14.7kR2i1''12VdcV2i3''10kR3i2''33kFigure 3 Circuit of Figure 1 with the upper source suppressedI 1 ’’ = __________I 2 ’’ = __________I 3 ’’ = __________D. Combine the solutions of parts B and C and compare with thesolution of part A.III.LABORATORY EXERCISES1. Connect the circuit shown in Figure 4 using the Agilent E3630A.(Make sure the tracking ratio knob is locked in the Fixed position;this position will guarantee that both the +20 and -20 V taps deliverthe same voltage magnitude with respect to the common tap.)4

EE 442 Laboratory Experiment 4Introduction to the Principle of SuperpositionDC Supply+20 V tapAmmeterR1A14.7k12VdcV1CommonR210k12VdcV2-20 V tapAmmeterA2R333kFigure 4 Laboratory version of the circuit in Figure 12. Energize the circuit of Figure 4 and then measure and record thefollowing data:a. Ammeter readings A 1 and A 2 (compare with preliminarycalculations)A 1 = __________A 2 = __________b. Voltage across the 4.7kΩ and 10kΩ resistorsV 4.7 kΩ = __________V 10 kΩ = __________c. Voltage across the upper 12 Volt source terminalsV 12 V = __________3. Using the data obtained in Step 2, apply KVL by calculating the sumof all the voltage drops around the upper closed loop (remember totake the algebraic signs into account). Is KVL satisfied?4. Turn off the DC supply and reconnect the circuit as shown in Figure5.5

EE 442 Laboratory Experiment 4Introduction to the Principle of SuperpositionDC Supply+20 V tapAmmeterR1A14.7k12VdcV1CommonR210k12VdcV2-20 V tapAmmeterA2R333kFigure 5 Laboratory version of the circuit in Figure 25. Note that the circuit in Figure 5 is equivalent to replacing the lowervoltage source in Figure 4 with zero Ohms (short circuit). Do notconnect the -20 V tap directly to the common tap whensuppressing the lower supply.6. Energize the circuit in Figure 5 and the measure and record thefollowing data:a. Ammeter readings A 1 and A 2 (compare with prelimcalculations)A 1 = __________A 2 = __________b. Voltage across the 10 kΩ resistorV 10 kΩ = __________7. Turn off the DC supply and rearrange the circuit according toFigure 6.6

EE 442 Laboratory Experiment 4Introduction to the Principle of SuperpositionDC Supply+20 V tapAmmeterR1A14.7k12VdcV1CommonR210k12VdcV2-20 V tapAmmeterA2R333kFigure 6 Laboratory version of the circuit in Figure 38. What does the circuit arrangement of Figure 6 accomplish in termsof the original circuit?9. Energize the circuit given in Figure 6 and then measure and recordthe following data:a. Ammeter readings A 1 and A 2 (compare with prelimcalculations)A 1 = __________A 2 = __________b. Voltage across the 10 kΩ resistorV 10 kΩ = __________10. Turn the DC supply off, but before dismantling the circuit, applyKCL and the principle of superposition by making the followingcalculations:a. Add the component values of i 1 measured in step 6 to thevalue of i 1 measured in step 9. (Be careful to account for thesigns!) Compare the resultant i1 to that of step 2.7

EE 442 Laboratory Experiment 4Introduction to the Principle of Superpositionb. Add the component values of i 2 , measured in steps 6 and 9and compare with that measured in step 2.c. Add the component values of the voltage across the 10 kΩresistor measured in steps 6 and 9 and compare with thatmeasured in step 2.IV.CONCLUSIONDo your results support the superposition theorem? If all the measuredvalues compare favorably to you calculated values, you are finished.8