Download Network Theorems - Department Of Electrical Engineering

DEHRADUN INSTITUTE OF TECHNOLOGY
DEPARTMENT OF ELECTRICAL ENGINEERING
NETWORK ANALYSIS & SYNTHESIS
Assignment:-3 (Network Theorems)
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
v and power dissipated by the 3 ohm
resistor of the following network. Fig.2
(Ans: - v = 15 V, P = 75 W)
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
Fig.5
Page 1 of 2
www.eedofdit.weebly.com
Prepared by: Nafees Ahamad
R4
DEHRADUN INSTITUTE OF TECHNOLOGY
DEPARTMENT OF ELECTRICAL ENGINEERING
NETWORK ANALYSIS & SYNTHESIS
Assignment:-3 (Network Theorems)
a
Q6.
Find Thevenin’s equivalent circuit at a-b. Fig.6
(Ans: - RTh=500 Ohm, VTh=150 V)
11.0k
KΩ
30 IB
10 V
500
IB
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
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
2
20 V
50 Hz
0Deg
Q.9
Repeat Question 3 to 8 for Norton’s Theorem.
Q10.
Find current in 3 ohm resistance by
(i) Thevenin’s Theorem (ii) Norton’s Theorem.
Fig.10
Fig.10
(Ans: - 5Amp)
6
Q.12
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
Page 2 of 2
www.eedofdit.weebly.com
8V
50 Hz
30Deg
4
-j5 Ω
6
j8 Ω
j3 Ω
30 V
5A
2
2
4
2
+
V4
-
20 V
50 Hz
0Deg
3
j10 Ω
Z=A+jB
Q.8
b
Z
5V4
Prepared by: Nafees Ahamad