Nodal-Analysis, Thevenin/Norton Equivalents
Lab-11 /
Lab Data Sheet – ENGR-43 Lab-11
Lab Logistics
Experimenter:Recorder:
Date:
Equipment Used (maker, model, and serial no. if available)
Special Note
This laboratory exercise entails a significant amount of circuit construction & measurement effort/time. For this reason:
§ Please COMPLETE ALL MEASUREMENTS in Table I, Table II, Table III, and Table VII BEFORE completing any of the calculations
Directions
1. Check out a DMM and Power/Probe Leads for the Power-Supply and DMM
2. Go to the side counter, collect resistors, “bread board”, and leads required to construct the circuit shown in Figure 1. Configure the Power Supply Outputs to the INDEPENDENT mode as indicated in Figure 2.
3. Make the Measurement and Calculations needed to complete Table I, Table II, Table III, Table IV, Table V, and Table VI.
Table I – Component Actual-Values by DMM Measurement
Vs1 =Vs2 =
R1 =
R2 =
R3 =
R4 =
RL =
Table II – Node Voltages: Calculations & DMM-Measurements
ValueDetermination / V1 / V2 / VL
Calculated
Measured
D%
· Calculate Node Voltages using the component actual-values from Table I
· D%J = 100x(VJ,calc – VJ,measc)/VJ,meas
Table III – Branch Currents: Calculations & DMM-Measurements
ValueDetermin. / I1 / I2 / I3 / I4 / Is1 / Is2 / IL
Calculated
Measured
D%
· Calculate Branch Currents using the component actual-values from Table I
· D%J = 100x(IJ,calc – IJ,meas)/IJ,meas
Table IV – Power Absorbed by Voltage Supplies: Component and VI Calculations
ValueCalculations / PVs1 / PVs2 / ΣPVsj
Component: Calc1
Measured VI: Calc2
D%
· For ALL power calculations assume that the PASSIVE Sign convention relates component voltage-polarities and current-directions
· Calculation-1: Use the component actual-values from Table I
· Calculation-2: Use the measured values of V-across from Table II, and I-thru from Table III for the two supplies.
· D%J = 100x(PJ,calc – PJ,meas)/PJ,meas
Table V – Power Absorbed by Resistors: Component and VI Calculations
ValueCalcs / PR1 / PR2 / PR3 / PR4 / PRL / ΣPRj
Component:
Calc1
Measured
VI: Calc2
D%
· For ALL power calculations assume that the PASSIVE Sign convention relates component voltage-polarities and current-directions
· Calculation-1: Use the component actual-values from Table I
· Calculation-2: Use the measured values of V-across, and I-thru for the two supplies from Table II and Table III
· D%J = 100x(PJ,calc – PJ,meas)/PJ,meas
Table VI – Power Balance
ValueCalculations / ΣPVsj / ΣPRj / % Out of Balance, ΔOB%
Component: Calc1
Measured VI: Calc2
· Calculation-1: Use the component-calculations from Table IV and Table V
· Calculation-2: Use the measured VI calculations from Table IV and Table V
· DOB% by this Equation:
Directions (continued)
4. Remove the Load Resistor, RL, from the circuit to leave OPEN that branch of the circuit as shown in Figure 3.
5. Make the measurements and calculations need to complete Table VII
Table VII – Thevenin Component Determination
Value / Quantity, and Determination-Method= Voc By DMM Measurment
= Isc By DMM Measurment
§ Hint: The DMM itself acts as the Short Circuit
= RTH,VI = Voc/Isc
§ Use DMM Measured Voc and Isc
= RTH,SD by Source Deactivation
§ DeActivate the Voltage Sources by REMOVING them from the Ckt, and REPLACING them with a wire
§ Measure using the DMM the resulting Resistance as seen from the Voc terminals
= RTH,avg = [RTH,VI + RTH,SD]/2
Directions (continued)
6. In the Space Below Neatly Draw the THEVENIN Equivalent for the Circuit shown in Figure 1 with the Load Resistor REATTACHED. Use RTH,avg from Table VII.
7. For the Thevenin Equivalent Circuit calculate the Load Current, IL, and mark its magnitude and direction on the circuit Diagram.
Directions (continued)
8. In the Space Below Neatly Draw the NORTON Equivalent for the Circuit shown in Figure 3 with the Load Resistor REATTACHED. Use RTH,avg from Table VII.
9. For the NORTON Equivalent Circuit calculate the Load Current, IL, and mark its magnitude and direction on the circuit Diagram.
Directions (continued)
10. Return all lab hardware to the “as-found” condition
Directions (continued)
11. QUESTION: How does IL by the Thevenin and Norton Equivalents compare to the DMM-Measured value from Table III?
Run Notes/Comments
Print Date/Time = 8-Mar-10/14:11
© Bruce Mayer, PE • Chabot College • ENGR-43_Lab_11_Nodal_Thevenin_100308.doc • Page 9