Thevenin & Norton Equivalents ENGINEERING-43 Lab-08 – ENGR-43 Lab-08

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ENGINEERING-43

Thevenin & Norton Equivalents

Lab-08

Lab Data Sheet – ENGR-43 Lab-08

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.

© Bruce Mayer, PE • Chabot College • 726855827 • Page 1

Figure 1 • Connection Diagram for the Dual Voltage Supply Experimental Network. V s1

= 13V (nominal), V s2

= 5V (nominal), R1 = 1.4-2.4 k Ω, R2 = 2.9-5.1 kΩ, R3 = 6.5-8.8 k

Ω, R4 = 9.5-16 kΩ, RL = 2.6-3.6 kΩ (3.3 kΩ nominal)

© Bruce Mayer, PE • Chabot College • 726855827 • Page 2

V s1

= 13.0

OUT

V s1

- +

13V

V s2

= 5.0

V s2

- +

5V

OUT

Figure 2 - Connection Diagram for the Dual Voltage Supplies used to Power the

Experimental Network of Figure 1. Set V s1

to 13V (nominal), V s2

to 5V (nominal).

Table I – Component Actual-Values by DMM Measurement

V s1

=

V s2

=

R1 =

R2 =

R3 =

R4 =

RL =

© Bruce Mayer, PE • Chabot College • 726855827 • Page 3

Table II – Node Voltages: Calculations & DMM-Measurements

Value

Determination

V

1

V

2

V

L

Calculated

Measured

%

Calculate Node Voltages using the component actual-values from Table I

 

%

J

= 100x(V

J,calc

– V

J,measc

)/V

J,meas

Table III

– Branch Currents: Calculations & DMM-Measurements

Value

Determin.

I

1

I

2

I

3

I

4

I s1

I s2

I

Calculated

Measured

%

Calculate Branch Currents using the component actual-values from Table I

 

%

J

= 100x(I

J,calc

– I

J,meas

)/I

J,meas

Table IV

– Power Absorbed by Voltage Supplies: Component and VI Calculations

Value

Calculations

P

Vs1

P

Vs2

ΣP

Vsj

L

Component: Calc1

Measured VI: Calc2

%

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.

 

%

J

= 100x(P

J,calc

– P

J,meas

)/P

J,meas

© Bruce Mayer, PE • Chabot College • 726855827 • Page 4

Table V – Power Absorbed by Resistors: Component and VI Calculations

Value

Calcs

P

R1

P

R2

P

R3

P

R4

P

RL

ΣP

Rj

Component:

Calc1

Measured

VI: Calc2

%

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

 

%

J

= 100x(P

J,calc

– P

J,meas

)/P

J,meas

Table VI

– Power Balance

Value

Calculations

ΣP

Vsj

ΣP

Rj

% Out of Balance, Δ

OB

%

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

 

OB

% by this Equation:

OB

%

P

Vsj

P

Vsj

P

Rj

P

Rj

© Bruce Mayer, PE • Chabot College • 726855827 • Page 5

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

Figure 3 • Connection Diagram for the Thevenin Equivalent Circuit. Use the Same

Supply-Voltages and Resistor-Values as used to make previous measurements.

© Bruce Mayer, PE • Chabot College • 726855827 • Page 6

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

= R

TH,VI

= Voc/Isc

 Use DMM Measured Voc and Isc

= R

TH,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

= R

TH,avg

= [R

TH,VI

+ R

TH,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 R

TH,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.

© Bruce Mayer, PE • Chabot College • 726855827 • Page 7

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 R

TH,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?

© Bruce Mayer, PE • Chabot College • 726855827 • Page 8

Run Notes/Comments

Print Date/Time = 11-Apr-20/12:30

© Bruce Mayer, PE • Chabot College • 726855827 • Page 9

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