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Toronto gepartment of Electrical
Metropolitan omputer, & Biomed· I ' .
University Faculty of Engineerin •ca Engineering
& Architectural Scien~e ELE 202
Laboratory #3
4.0 PRE-LAB: ASSIGNMENT

(a) Circuit Reference Node

~;, F
i•:1 or the circuit shown in F"
node "d" is selected as th •gure 2-0a, the input D.C. source voltage, E = 15 V and
Calculate the current e;e(erence node connected to the circuit ground, Vd = O V.
I
"c" (-Ve) with resp;ct ~: t~ e voltage at node "a" (=Va), node "b" (-Vb), and node
calculate the re · t e ground reference node. From these node voltages
d l tages' v ab? Vbe, and V cd across resistors
respectively R sis or vo1 .
R1, R2 and RJ,'
• ecor al the results m Table 2.0.
'" p;;:r~b~~~~:hj;;;;;--------------v·-------------------~.a_b
~, u ------ -- ~'<:> --- fo ---------------------------------------=--------------------------,

-r ?-+ r1u1- . , Vob -, (2 ~3 ,.,

I E; ,~ ;J) Q. :ll'f.Jl.. ,: ;u) ~,IO _'A (, \ 000.D.
J-=-_-i..-
\Jed - D 6 o \J
-!, %r~,~ ·1q..! ) .c\
°
r
s,1:-=- •
>~
:L3ko
V0;:;;. 1 3
-= :::?>_3 x ,·o - Pt t ~. ")(.. 10.0

\) C
- = t.:5;_~-~ ·~~O\J =- \Ql,f.V, ',:
\ 1o \I.1 v.) /\ = _.. .
-- ",:-' ,'2Q(
¤>l J ,
,6- i'?>,~~lOl
\\ '.::>
~' ,· T f
0

u \..,
V - ($, • lo \/ I , - I r
-
-
a ~-~o\J1 l
\ ,· 1 ~-,~ ~cv· - __;, 1
-
I
I
I
I
I
I
I

\} t~\J --
1 T 12.e9 (: ~.~+ ..?,:2+~ .0...
~-----------------------------------·----------------------------------------------------------------------------------------------------------------~------J

(ii) Construct the circuit of Figure 2.0a in MultiSIM. With node "d" as the reference
node, measure the current, I, the node voltages Va, Vb and Ve, and the voltages across
R1 (=Vab), R2 (=Vt,c), and RJ (=Vcd), respectively. Record all the results in Table
2.0.

• Copy and paste a screenshot showing one MultiSIM readings on the circuit. Include the
MultiSIM circuit file (.ms14) in your Pre-Lab submission.
• All screenshots should show your name printed on the center-top of the Multi SIM screen
and the timestamp at the bottom-lower comer.
 - -
calculations/measurem ents of node voltages Va, \" anu v d "" .... • -~r - -
. . R (-V ) R (=Vb ) and RJ (= V cd) as
node "c"; and c1rcu1t clement voltages across 1 - ab , z c ,

before.

(iv) Comment on the results in Table 2.0 obtained for both cases (when reference point
at "d" and reference point at "c"). State clearly which one of the currents, node
voltages, or element voltages have changed or remain unchanged; and explain why.

r Pre;r-v-C~b
work<pace_ . < ~:-------------~-------------------------;~T-~
: t· .. -- . . :
/ + - - , \) o:·c -- d . 3 0 \/ l
! -::r /4 ·: ;, -;;:_ kl',_ ~J 'o - \ ';) . --+ V l
/ dLo-±~;;/\-:=, _()_,\ c. \/ -c c - . IO \I !
! _:;,. 3-/ L -~ \J Ci 0 +- V c d i
I a -+ --:+. e,ov !
! ··10-= 1.1od\/ l
I
I
I
i \Jr d +. CoO 'V l
I
I
I I
I I
I I
I I
I I
I I
I I
I I
I I
I I
I I
I I
I I
I I
I I
I I
I I
I I
I I
I I
I I
I I
I I
I I
I I
I I
I I
I I
I I
I I
I I
I I
I I
I

-------------------------------------------------------------------------------------------------------------------------------------------------------------;

R1 =1 kO R1 =1 kO
a b a b

+ +
E R2 = E I R2 =
2.2 kn 2.2 kn

d d
R3 =3.3 kn R3 = 3.3 kn

Figure 2.0a: Circuit reference node at "d" Figure 2.0b: Circuit reference node at "c"
 Toronto Department of Electrical,
Metropolitan Computer, & Biomedical Engineering ELE 202
University Faculty of Engineering Laboratory #3
& Architectural Science

Using Reference Node Using Reference Node

l TI1eoreticnl value =>

(mA) MultiSIM value =>

Va Theoretical value =>

(Volts) MultiSIM vnluc =>

V1, Theoretical value =>

(Volts) MultiSIM value =>

Ve Theoretical value => 0

(Volts) MultiSIM vnlue =>

Vd Theoretical value => 0

(Volts) MultiSlM value =>

Vub Theoretical value =>

(Volts) MultiSIM value =>
Vbc Theoretical value =>
(Volts) MultiSIM value =>

Vcd Theoretical value => . GOV

(Volts) MultiSIM value =>

Table 2.0: Theoretical and MultiSIM results of the Figure 2.0 circuits

(b) Nodal and Mesh Analysis

Consider the circuits in Figure 3.0, and assume input power supply, E = ISV.

(i) Nodal Analysis: Select node "d" as a ground reference node as shown in Figure
3.0a. Using the nodal analysis technique, calculate the node voltages Vu, V hand V c .
Using theses calculated node voltages, determine the value of the branch current, h
and the branch voltage, V x. Record all your results in Table 3.0.
r--------------------------- Ok. ft ---------------------------------------------------------------- -------------------------------1,
! Pre-lab workspace I • L - - - - \IJ ('A :: 1 V ,
i
•
+ 1-. -
d"il \:) 5, I k0.
7
Vo-\,:ts ..\- \Jb-\Jc +Vb-a
---··- ---- - - - - :- U
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l (}... • "'.,,,__,.V>. C .;} ;:;> s=- l l 3 ! r~

+ g c1 la v b - 1·&Q -+: ,· a\J 1o - t a\/ c., + \oN 'o

t; i 1
d -==-
6
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00 \/'o -dd-i~\lt +6400\JI::
olo v c
. . E'~u.o.. \Lons. • \
0 t yt - 0 + \} t - \} + V c_ T" t ·';; \ 0 =\ \I 'o - \J C 1 cJ
1. a k .o_ - 1 o \J b + \\ 2 \J t =- =t G
:
,
l k 1L \L.O.
6;" • ,
------------- .__,___,_
'-------------------------------------------------------------------------------------rrt--v-'<5----=---1--j-L,\--\J--t --- -=-· b
' '

\}~= ~-1-Q\J
Ve.=- 1-- e, 1 V
 tietet r Mi

Toronto Departm ent of Electrical, ELE 202

Metrop olitan Computer, & Biomedical Engineering
Univers ity Faculty of Engineering Laboratory #3
& Architectural Science
.. . . . h • it shown in Figure
(ti) Mesh Analysis : Usmg the mesh analysis techniqu e on l e circu
• the
3.0b, calculate d • th branch currents, 11,
mesh currents IA, 18 and le; and etemune
I!, l. and h; and the branch vollage. ,·,. Record all your results m Table 3 •0
•
m es'ne •
1: Al I 8 )1.c

(iii) Constru ct the circuit of Figure 3.0 in MultiSIM. Set the input D.C.
source, E to lSV,
and node "d" as the ground reference node. Measure the branch currents I 1,
b. l.1 and
Ix, the branch voltage, V x and the node voltages, V ~. Vb and V c- Use the
measured
branch currents to determine the values of the mesh currents IA, lu and le. Record
all
your results in Table 3.0.

• Copy and paste a screcnsho t showing one MultiSIM readings on the circuit.
include the
MultiSLM circuit file (.msl4) in your Pre-Lab submission.
• All scrccnsho ts should show your name printed on the center-to p of the MultiSIM
screen

Compar e these MutliSIM simulation results in Table 3.0 with the calculate
d
theoretic al values for the node voltages, mesh currents, branch current h, and
branch
voltage V x. State if the Nodal and Mesh analysis methods yield the same results
for
the branch current, I..: and the branch voltage, V x- Why?
r----------------------------------------------------------------------------------·---·-·-----·--·
\ Pre-Lah workspace -------- • ,

I
I

lI
\
i
I
L----------------·--------·------------------------·--------------·----------------------------------------- I
·----·---·---------·---------·-·---------------------..
p Toronto Department of Electrical
Metropolitan
University
fomputer, & Biomedical Engineering
acuity_ of Engineering ELE 202
& Architectural Science Laboratory #3
I
I

R3 = 1.0 kO
R1 =1.0 kn
+ Vx - l3 + Vx -

a R1 =2.2 kO b R2 = 5.1 kO
C
=
R1 2.2 kn b R2 =5.1 kn C
a

11 t '2~ -
+
.i Ix C + C Ix
E "'! J,
.-:
C! E S)
.-:
"'! J,
"'
II
tot
II
l'f'I

-
II
,l a::"' ,l

d d
-
Figure 3.0a: Circuit for Nodal Analysis Figure 3.0b: Circuit for Mesh Analysis

Nodal Mesh
Analysis Analysis
Va Theoretical value => -1 S \J
(Volts) MultiSIM value =>

Vb Theoretical value =>

(Volts) MultiSIM value =>

Ve Theoretical va1ue =>

(Volts) MultiSIM value =>
Theoretical value =>
IA
(mA) Mu1tiSIM derived =>
Theoretical value =>
le
(mA) MultiSIM derived =>

le Theoretical value =>

(mA) Mu1tiSIM derived =>
Theoretical value =>
,,.. . -
Ix • J
(mA) MultiSIM value => (6, i%~A
Vx Theoretical value =>
(Volts) MultiSIM value => t Lt, q '\J
Theoretical value =>
I1
(mA) MultiSIM value =>
=>
h Theoretical value
(mA) MultiSIM value =>

J3 Theoretical value =>

(mA) MultiSIM value =>

Table 3.0: Theoretical and MultiSIM results of the Figure 3.0 circuits

Prepared by Dr. M.S. Kassam, Dr. S. Hussain & Kevin. Tang. © Toronto Metropolitan University, ECBE Department, 2021
6

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Aultisim - February 25, 2024, 11:31:37 PM
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Mult1sim • February 25. 2024, 10:52:27 PM