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AEE1000 / MEC1151- Electrical Circuits and AnalysisDr Hong Fan, University of Glasgow, 2022
Tutorial – Topic 4 : Circuit Theorems
[Linearity Property]
4.1 For the circuit in Figure 4.1, assume vo = 1 V, and use linearity to find the actual value of vo.
12=2+4
= Gr
'
( { + to )
-
brH6n =
= 3h
ñi : ñi V0
R = 3+3
¥"33n
Figure 4.1
= Gr
'
6h16m = (÷ + f- g-
= 3h
V0 = I V
us
• in "
voltage divider
§3r
rule
,
R 3h
I =
when V0 IV
Vs =
,
Rea 10
Vg =
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[Superposition] i.
Vs = 2 ÷ ¥ 3
4.2 Given the circuit in Figure 4.2, use superposition to get io.
=
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,
I turn off 2A 3,4A V0 = 4- 5V
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+
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2h
2
+
3 turn off ITV } 2A
iii. Win
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-
5h
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(÷
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Req =
4 + +
3+2 + g) A
5h 4A
ION
- -
= 9h
V '
i. i. = 3
Req v
I
i¥§
=
9
=
%A
4A
2 turn off 12W } 4A Figure 4.2 ion
-
5h -
2A
2A
A A
7
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current divider rule
Using ,
using current divider rule ,
ii.
3
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+
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•
= × 2 "☐
Min
+ =
>
29=+7+3 4
-
×
In 5+5 +
(+4+40)-1
: > =
a =
14
A
g-
-
ion
'
5h
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I
+
'
-
Mt : I = ×
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,
( ÷,
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Runt Dion = +
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.
=
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4+10
=
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.
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#
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