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DEHRADUN INSTITUTE OF TECHNOLOGY
DEPARTMENT OF ELECTRICAL ENGINEERING
Assignment:-3 (Network Theorems)
(TEE-303 Network Analysis & Synthesis)
2i
i
Q1.
Use superposition theorem to find the current i
Fig.1 (Ans: - i=4/9 A)
20
2V
10 V
5
Fig.1
Q2.
Use superposition theorem to determine the voltage
The voltage v and power dissipated by the 3 ohm
resistor of the following network. Fig.2
(Ans: - v = 15 V, P = 75 W)
Fig.2
i1
+
12 V
v
3.0
-
1.0
6A
2i1
Q3.
Determine the voltage across the 1/3 ohm resistance
By Thevenin’s Theorem. Fig.3
(Ans: - 10/7 V)
1
2
1
2
2A
Fig.3
Q4.
Use Thevenin’s Theorem to find the voltage
across the 3 ohm resistance. Fig.4
(Ans: - 120/7 V)
3V
1
4
1
3
2
1
I
4
10 A
3
Fig.4
Q5.
Find the Thevenin’s Equivalent circuit
across R4. Fig.5
R 3( R1  (1   ) R 2)
RTh 
R1  R 2  R 3
(Ans: )
R 3V 1
VTh 
R1  R 2  R 3
I
αI
R1
V1
I
R2
R3
R4
Fig.5
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DEHRADUN INSTITUTE OF TECHNOLOGY
DEPARTMENT OF ELECTRICAL ENGINEERING
a
Q6.
Find Thevenin’s equivalent circuit at a-b. Fig.6
(Ans: - RTh=500 Ohm, VTh=150 V)
11.0k
KΩ
10 V
30 IB
IB
500
Fig.6
b
a
Q7.
Find Thevenin’s equivalent circuit at a-b. Fig.7
(Ans: - RTh=3 Ohm, VTh=0 V)
4
I
6
8I
12
Fig.7
Q.8
Use Thevenin’s Theorem to find out current in
(6+j8) ohm. Fig.8
(Ans:- VTh=7.73-j1.33, ZTh=1.466-j4.734
IL=0.962 & -33.38o)
Fig.8
b
2
20 V
50 Hz
0Deg
Q.9
Find current in 3 ohm resistance by
(i) Thevenin’s Theorem (ii) Norton’s Theorem.
Fig.10
Fig.10
(Ans: - 5Amp)
30 V
5A
2
2
Find the value of Z that will receive
Maximum power. Also determine this power.
Fig.12
(Ans:- Z=1.125-j1.797 Pmax=124.8 W) Fig.12
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3
2
10 A
50 Hz
0Deg
5
+
-j4 Ω
+
V4
-
20 V
50 Hz
0Deg
j6 Ω V
-
j10 Ω
Z=A+jB
Find the voltage V in the following network.
Verify reciprocity Theorem by interchanging
the current source and resulting voltage V. Fig.11
(Ans: - V=36.4 & 22.9o)
Fig.11
4
Q.12
6
j8 Ω
j3 Ω
3
Q.11
-j5 Ω
Repeat Question 3 to 8 for Norton’s Theorem.
6
Q10.
8V
50 Hz
30Deg
4
Z
5V4
2
DEHRADUN INSTITUTE OF TECHNOLOGY
DEPARTMENT OF ELECTRICAL ENGINEERING
5 i2
Q.13
Q.14
Q.15
Evaluate all the currents & voltages in the
following circuit. Also verify the
V1
Tellegen’s theorem for this circuit.Fig.13
60 V
(Ans:- i1=-27, i2=3, i3=24, i4=15, i5=9,
V1=60, V2=60, V3=15, V4=45, V5=45) Fig.13
Determine Vo by Millman’s Theorem.
Fig.14
(Ans:- Vo=2.5 V)
Fig.14
i3
i1
i2
20
+ V3 +
V1/4
V2
i4
+
V4
+
V5
5
-
-
4
10 V
i5
-
1.4
8
4
+
Vo
5
-
Find Ix and prove reciprocity theorem.
Fig.15
(Ans:- Ix=0.83A)
3
2
4
4
Ix
10 V
5
7
Fig.15
Q.16
Q.17
In the following circuit 10+j2 ohm impedance
Is change to 2-j2 ohm. Using compensation theorem
determine the change in the current in 3+j2 ohm.
Fig.16
(Ans:- 0.51 & 42.15o)
Fig.16
j2Ω
10
3
20 V
50 Hz
30Deg
j4 Ω
j2 Ω
In the following network verify the substitution theorem
by replacing the 6 ohm resistance by a voltage source.
(Ans:- V= 14.22 & 5.5o V)
20
j8 Ω
Fig.17
Q.18
Use Norton theorem to find out current in 5 ohm
resistance.
(Ans:- 0.193 A)
6
j10 Ω
100 V
50 Hz
0Deg
10
15
5
100V
6
8
Fig.18
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