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EE271 Laboratory Experiment 4: Electrical Circuit Theorems - Prof. Aziz S. Inan, Lab Reports of Microelectronic Circuits

A laboratory experiment conducted in the university of portland's school of engineering for the electrical circuits course (ee271). Students will analyze, construct, and test dc resistive circuits to gain hands-on experience and verify electrical circuit theorems such as superposition principle, thevenin and norton equivalent circuits, and maximum power transfer theorem. Pre-lab assignments, lab experiments, and discussions.

Typology: Lab Reports

Pre 2010

Uploaded on 08/16/2009

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UNIVERSITY JF PJRTLAND
SchJJl Jf Engineering
EE271-Electrical Circuits Laboratory
Spring 2004
Dr. Aziz S. Inan & Dr. Joseph P. Hoffbeck
Lab Experiment #4: Electrical Circuit Theorems
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UNIVERSITY J F P J RTLAND

Sch JJ l J f Engineering

EE271-Electrical Circuits Laboratory

Spring 2004

Dr. Aziz S. Inan & Dr. Joseph P. Hoffbeck

Lab Experiment #4: Electrical Circuit Theorems

Electrical Circuit Theorems

I. Objective

In this experiment, the students will analyze, construct and test dc resistive circuits to gain further insight and hands-on experience on electrical circuits as well as to verify some of the circuit theorems they learn in class such as the Superposition Principle , Thevenin and Norton Equivalent Circuits and Maximum Power Transfer Theorem.

II. Procedure

PART 1: Superposition Principle

Pre-lab Assignment 1.a: For the circuit shown in Fig. 1, calculate the voltage V 2 across the resistor R 2 using the superposition principle.

Pre-lab Assignment 1.b: For the circuit shown in Fig. 1, reverse the polarity of the 5 V dc voltage source and redo pre-lab assignment 1.1.

R 1 =1.

R 3 =2.

R 2 =1.

V S1=7.

V

V V S2=5V

2

I 2

Fig. 1. A resistive circuit excited by two dc voltage sources.

Lab Experiment 1.a: Construct the resistive circuit shown in Fig. 1. Measure and record the actual values of the resistors R 1 , R 2 , and R 3 used in your circuit. To verify the superposition principle, measure and record the voltage V 2 for three cases:

Lab Experiment 2.a: Construct the circuit shown in Fig. 2. Measure and record the actual values of the resistors used in your circuit. Verify the Thevenin and Norton equivalent circuits obtained in pre-lab assignment 2.a by measuring the open-circuit voltage V OC and the short-circuit current I SC between terminals A and B. Lab Experiment 2.b: Connect a load resistance with the optimum value R L,opt between terminals A - B in the original circuit shown in Fig. 2. Measure the voltage V L across R L,opt and use it to verify the P L,max value calculated in pre-lab assignment 2.b.

PART 3: Maximum power to a load resistance with fixed value

Pre-lab Assignment 3: In Fig. 3, assume that the load resistance R L has a fixed value given by R L=1 kΩ. (a) How much power is being delivered to R L? (b) Your job is to introduce a single external resistor R ext into the circuit with an appropriate value to maximize power delivery to the 1 kΩ load. What is the value of R ext? Where should it be connected? What is P L,max? (Note that this problem is different than the maximum power transfer theorem.)

Lab Experiment 3: Verify the results of pre-lab assignment 3 experimentally. Measure and record the load voltage V L and the current I L with and without the external resistance connected and calculate the load power using P L = V L I L in each case. Approximately how much percent did the load power increase due to the introduction of the external resistance R ext into the circuit?

V L

3 kΩ

R L=

V S=5V

I L

Fig. 3. A circuit with a fixed load resistance having a value R L=1 kΩ.

III. Discussions & Conclusion

In this section, discuss the various aspects of Experiment # 4 and make some conclusions. In your write-up, you should at least address the following questions:

  1. What was the objective of this experiment and was the objective achieved?
  2. Did any of your measurements have more than 5% error? What was your maximum % error?
  3. What sources of error may have contributed to the differences between the theoretical values and the measured values?
  4. Other comments relevant to this experiment.