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**EE 109 LINEAR CIRCUIT ANALYSIS
**

** LABORATORY EXERCISE -3
**

*INTRODUCTION TO NODAL ANAYSIS
*

**Introduction
**

This laboratory execise is meant to enble the students to accomplish nodal analysis of simple

circuits and correlate measured vaues with the theoretical calculations of voltages and

currents through various circuit elements.

**Objectives
**

The following are the broad objectives of this lab:

Circuit setup on bread board.

Calculate the currents and voltages in the valarious circuit elements.

Use the DMM as a ammeter and voltmeter to measure the various currents and

voltages.

Explain deviations in results in case these are encountered during the experiment.

**Conduct of Lab
**

The students are required to work in groups of three to four; each student must attempt to

understand and use the laboratoy set-up and conduct at least one or two parts of the

requirement experimentation. The lab attendents and Teaching Assistants will be available to

assit the students.

In case some aspect of the lab experiment is not understood the students are advised to seek

help from the teacher, the lab attendent or the assigned Teaching Assistant (TA).

**
Lab Equipment
**

The following equipment would be used in this experiment:

Test test bench

The Multimeter

The Power Supply

Digital Multimeter

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**1) Circuit for Analysis by Nodal Analysis Method.
**

a) For the circuit given below use NODAL ANALYSIS to measure and calculate all the

currents and voltages for each circuit element.

The first step is to calculate the values of currents ,to accomplish do the following.

i) Measure all the currents and voltages.

ii) Caluculate the power delivered /absorbed by each circuit element.

iii) Write thefinal set of equations necessary to calculate the currents.

iv) Fill in TABLE **1a** & **1b**.

**FIGURE 1
**

**THEORETICAL CALCULATIONS:
**

**I1
**

**I4
**

**I2
IA IB
**

**CAUTION
**

**DO NOT SWITCH ON POWER TILL
**

**YOU HAVE GOTTEN YOUR CIRCUIT
**

**CHECKED BY YOUR TEACHER /LAB
**

**ATTENDANT / TA
**

**I3 I5
**

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**S.N
**

**O
**

**ELEMENT VOLTAGE CURRENT POWER
**

**ABSORBED
**

**DELIVERED CALCULATED MEASURED CALCULATED MEASURED
**

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1 V1

2

R1

3

R2

4

R3

5

R4

6

R5

7

V2

TABLE 1a

b) Now simulate the above circuit in PSpice and record the values of voltages and currents

in the table below and find out the percentage deviation in the measured and simulated

values.

c) By using the printscreen option save the simulation in a folder on the desktop.

**S.N
**

**O
**

**ELEMENT VOLTAGE CURRENT %age
**

**DEVIATION
SIMULATED MEASURED SIMULATED MEASURED
**

1 V1

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5

2

R1

3

R2

4

R3

5

R4

6

R5

7

V2

TABLE 1b

**d) Explain any discrepancies between the calculated and measured values
**

**______________________________________________________________________________
**

**______________________________________________________________________________
**

**
2) Circuit For Analysis using Super Node Concept..
**

a) For the circuit given below use **SUPER NODE CONCEPT **calculate all the currents and

voltages for each circuit element.

Set up the circuit give below and do the following:

i) Measure all the currents and voltages.

ii) Caluculate the power delivered /absorbed by each circuit element.
iii) Fill in TABLE **2a** and **2b**.

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**FIGURE 2
**

**THEORETICAL CALCULATIONS:
**

**I1
**

**I5 I6
**

**I3
**

**I2
**

**CAUTION
**

**DO NOT SWITCH ON POWER TILL
**

**YOU HAVE GOTTEN YOUR CIRCUIT
**

**CHECKED BY YOUR TEACHER /LAB
**

**ATTENDANT / TA
**

**IA
**

**IB
**

**IC
**

**I4
**

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**S.N
**

**O
**

**ELEMENT VOLTAGE CURRENT POWER
**

**ABSORBED/
**

**DELIVERED CALCULATED MEASURED CALCULATED MEASURED
**

1 V1

2

R1

3

R2

4

R3

5

R4

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8

6

R5

7

R6

8 V2

9 V3

TABLE 2a

b) Now simulate the above circuit in PSpice and record the values of voltages and currents

in the table below and find out the percentage deviation in the measured and simulated

values.

c) By using the printscreen option save the simulation in a folder on the desktop.

**S.N
**

**O
**

**ELEMENT VOLTAGE CURRENT %age
**

**DEVIATION
SIMULATED MEASURED SIMULATED MEASURED
**

1 V1

2

R1

3

R2

4

R3

5

R4

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9

6

R5

7

R6

8 V2

9 V3

TABLE 2b

**d) Explain any discrepancies between the calculated and measured values
**

**______________________________________________________________________________
**

**______________________________________________________________________________
**

**3. Considering the time it took to measure the values of voltage and current across the
**

**elements, and the time it took to perform nodal analysis on paper, would you agree
**

**that nodal analysis is an effective circuit analysis technique? Explain
**

**_____________________________________________________________________________________
**

**4. You have several 1KΩ and 6KΩ resistors. You are required to design a circuit using
**

**four resistors and a 5V power supply to provide 2V at the outputs. ***Note: The output will
*

*be taken across the resistor(s).*

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5. **Please explain briefly what you have learned in this lab and any difficulties you
**

**encountered
**

______________________________________________________________________________

______________________________________________________________________________

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