Short Notes: Network Elements | Network Theory (Electric Circuits) - Electrical Engineering (EE) PDF Download

Download, print and study this document offline
Please wait while the PDF view is loading
 Page 1


 
 
 
 
Active & Passive Elements 
If any elements absorb, dissipate, waste, convert electrical energy it is called as passive element. 
Eg. Resistor, Inductor, Capacitor. 
If any elements energize, deliver, give out, drive the electrical energy it is called as active element. 
Eg. BJT, MOSFET. 
 
Network Technologies 
Node : It is a point of interconnection or junction between two or more components. 
Branch : It is an elemental connection between two nodes. 
Mesh: A mesh is a close path which should not have any further closed path in it. 
Loop : All possible close path. 
 
Ohm’s law 
At constant temperature and for uniform cross section of conductor. 
JE ??
 
s= conductivity, 
? ??
?
 resisti
1
vity . 
? V IR 
?
?
l
R
A
                                                   Circuit Symbol:   
? l lenght of conductor 
A = Area of conductor. 
 
Conductance of circuit elements is 
?
1
G
R
 
Sign Convention  
To apply ohm’s law, we must apply following sign convention. 
 
 
 
 
 
 
Page 2


 
 
 
 
Active & Passive Elements 
If any elements absorb, dissipate, waste, convert electrical energy it is called as passive element. 
Eg. Resistor, Inductor, Capacitor. 
If any elements energize, deliver, give out, drive the electrical energy it is called as active element. 
Eg. BJT, MOSFET. 
 
Network Technologies 
Node : It is a point of interconnection or junction between two or more components. 
Branch : It is an elemental connection between two nodes. 
Mesh: A mesh is a close path which should not have any further closed path in it. 
Loop : All possible close path. 
 
Ohm’s law 
At constant temperature and for uniform cross section of conductor. 
JE ??
 
s= conductivity, 
? ??
?
 resisti
1
vity . 
? V IR 
?
?
l
R
A
                                                   Circuit Symbol:   
? l lenght of conductor 
A = Area of conductor. 
 
Conductance of circuit elements is 
?
1
G
R
 
Sign Convention  
To apply ohm’s law, we must apply following sign convention. 
 
 
 
 
 
 
 
 
 
 
 
 
Short circuit & open circuit 
Voltage across terminals of a short circuit is always zero, regardless of the value of current which 
could be any value. (R = 0) 
The current through an open circuit is always zero, regardless of voltage across the terminals 
which could be any value. ? ? R ?? 
Power of resistor 
2
2
V
P VI I R
R
? ? ?
 
Resistance always absorbs or dissipates power. 
 
Kirchoff’s laws 
? Kirchoff’s current law(KCL) 
It states that any instant the algebraic sum of current leaving any junction (or node) in a network 
is zero. 
In other words, current entering a node is equal to current leaving the node. 
  
            
? ?
?
? n
n
i t 0 
 ?
?? entering leaving
ii 
            
1 3 5 2 4
i i i i i ? ? ? ?
 
 
 
? Kirchoff’s voltage law (KVL) 
It states that any instant the algebraic sum of the voltage around any closed path (or loop) within 
a network is zero. In other words, the sum of voltage drops is equal to sum of voltage rises. 
 
? ?
?
?
n
n
V t 0 
            ?
?? drop rise
VV 
            ? ? ? ? ?
1 2 3 4 5
V V V V V 0 
 
 
 
 
 
Page 3


 
 
 
 
Active & Passive Elements 
If any elements absorb, dissipate, waste, convert electrical energy it is called as passive element. 
Eg. Resistor, Inductor, Capacitor. 
If any elements energize, deliver, give out, drive the electrical energy it is called as active element. 
Eg. BJT, MOSFET. 
 
Network Technologies 
Node : It is a point of interconnection or junction between two or more components. 
Branch : It is an elemental connection between two nodes. 
Mesh: A mesh is a close path which should not have any further closed path in it. 
Loop : All possible close path. 
 
Ohm’s law 
At constant temperature and for uniform cross section of conductor. 
JE ??
 
s= conductivity, 
? ??
?
 resisti
1
vity . 
? V IR 
?
?
l
R
A
                                                   Circuit Symbol:   
? l lenght of conductor 
A = Area of conductor. 
 
Conductance of circuit elements is 
?
1
G
R
 
Sign Convention  
To apply ohm’s law, we must apply following sign convention. 
 
 
 
 
 
 
 
 
 
 
 
 
Short circuit & open circuit 
Voltage across terminals of a short circuit is always zero, regardless of the value of current which 
could be any value. (R = 0) 
The current through an open circuit is always zero, regardless of voltage across the terminals 
which could be any value. ? ? R ?? 
Power of resistor 
2
2
V
P VI I R
R
? ? ?
 
Resistance always absorbs or dissipates power. 
 
Kirchoff’s laws 
? Kirchoff’s current law(KCL) 
It states that any instant the algebraic sum of current leaving any junction (or node) in a network 
is zero. 
In other words, current entering a node is equal to current leaving the node. 
  
            
? ?
?
? n
n
i t 0 
 ?
?? entering leaving
ii 
            
1 3 5 2 4
i i i i i ? ? ? ?
 
 
 
? Kirchoff’s voltage law (KVL) 
It states that any instant the algebraic sum of the voltage around any closed path (or loop) within 
a network is zero. In other words, the sum of voltage drops is equal to sum of voltage rises. 
 
? ?
?
?
n
n
V t 0 
            ?
?? drop rise
VV 
            ? ? ? ? ?
1 2 3 4 5
V V V V V 0 
 
 
 
 
 
 
 
 
 
 
Series resistance or voltage division 
Two or more circuit elements are connected in series means that current through all elements in 
same. If ‘N’ resistors, with resistance 
1 2 n
R ,R ,........R are connected in series 
eq 1 2 N
R R R ...................R ? ? ?
            
? ?
?
?
1
1
12
VR
V
RR
      
? ?
?
?
2
2
12
VR
V
RR
 
 
 
Parallel resistance or current division 
Two or more circuit elements are connected in parallel means that voltage across all elements is 
same. If ‘N’ resistors are connected in parallel 
1 2 N
R ,R ,............R 
eq 1 2 N
1 1 1 1
...........
R R R R
? ? ? ?
 
? ?
?
?
2
1
12
IR
I
RR
 
? ?
?
?
1
2
12
IR
I
RR
 
 
 
Star Delta Conversion 
 
Start to Delta 
 
??
?
1 2 1 3 2 3
a
1
R R R R R R
R
R
 
 
??
?
1 2 1 3 2 3
b
2
R R R R R R
R
R
 
 
??
?
1 2 1 3 2 3
c
3
R R R R R R
R
R
 
Page 4


 
 
 
 
Active & Passive Elements 
If any elements absorb, dissipate, waste, convert electrical energy it is called as passive element. 
Eg. Resistor, Inductor, Capacitor. 
If any elements energize, deliver, give out, drive the electrical energy it is called as active element. 
Eg. BJT, MOSFET. 
 
Network Technologies 
Node : It is a point of interconnection or junction between two or more components. 
Branch : It is an elemental connection between two nodes. 
Mesh: A mesh is a close path which should not have any further closed path in it. 
Loop : All possible close path. 
 
Ohm’s law 
At constant temperature and for uniform cross section of conductor. 
JE ??
 
s= conductivity, 
? ??
?
 resisti
1
vity . 
? V IR 
?
?
l
R
A
                                                   Circuit Symbol:   
? l lenght of conductor 
A = Area of conductor. 
 
Conductance of circuit elements is 
?
1
G
R
 
Sign Convention  
To apply ohm’s law, we must apply following sign convention. 
 
 
 
 
 
 
 
 
 
 
 
 
Short circuit & open circuit 
Voltage across terminals of a short circuit is always zero, regardless of the value of current which 
could be any value. (R = 0) 
The current through an open circuit is always zero, regardless of voltage across the terminals 
which could be any value. ? ? R ?? 
Power of resistor 
2
2
V
P VI I R
R
? ? ?
 
Resistance always absorbs or dissipates power. 
 
Kirchoff’s laws 
? Kirchoff’s current law(KCL) 
It states that any instant the algebraic sum of current leaving any junction (or node) in a network 
is zero. 
In other words, current entering a node is equal to current leaving the node. 
  
            
? ?
?
? n
n
i t 0 
 ?
?? entering leaving
ii 
            
1 3 5 2 4
i i i i i ? ? ? ?
 
 
 
? Kirchoff’s voltage law (KVL) 
It states that any instant the algebraic sum of the voltage around any closed path (or loop) within 
a network is zero. In other words, the sum of voltage drops is equal to sum of voltage rises. 
 
? ?
?
?
n
n
V t 0 
            ?
?? drop rise
VV 
            ? ? ? ? ?
1 2 3 4 5
V V V V V 0 
 
 
 
 
 
 
 
 
 
 
Series resistance or voltage division 
Two or more circuit elements are connected in series means that current through all elements in 
same. If ‘N’ resistors, with resistance 
1 2 n
R ,R ,........R are connected in series 
eq 1 2 N
R R R ...................R ? ? ?
            
? ?
?
?
1
1
12
VR
V
RR
      
? ?
?
?
2
2
12
VR
V
RR
 
 
 
Parallel resistance or current division 
Two or more circuit elements are connected in parallel means that voltage across all elements is 
same. If ‘N’ resistors are connected in parallel 
1 2 N
R ,R ,............R 
eq 1 2 N
1 1 1 1
...........
R R R R
? ? ? ?
 
? ?
?
?
2
1
12
IR
I
RR
 
? ?
?
?
1
2
12
IR
I
RR
 
 
 
Star Delta Conversion 
 
Start to Delta 
 
??
?
1 2 1 3 2 3
a
1
R R R R R R
R
R
 
 
??
?
1 2 1 3 2 3
b
2
R R R R R R
R
R
 
 
??
?
1 2 1 3 2 3
c
3
R R R R R R
R
R
 
 
 
 
 
 
Delta to start conversion 
?
??
bc
1
a b c
RR
R
R R R
 
?
??
ac
2
a b c
RR
R
R R R
 
?
??
ab
3
a b c
RR
R
R R R
 
 
Sources 
Independent Voltage Source 
An ideal independent voltage source maintains a specified voltage across its terminals. The 
voltage is independent of current flowing through it. 
 
Independent current source 
An ideal independent current source maintains a specified current to flow through it. The current 
through this is independent of voltage across it. 
Dependent Source 
Voltage controlled voltage source (VCVS) ; 
X
V AV ? 
Current controlled voltage source (CCVS) ; 
X
V Ai ? 
Voltage controlled current source (VCCS) ; ?
x
i AV 
Current controlled current source (CCCS) ; 
x
i Ai ? 
 
Capacitor 
A capacitor is a combination of a two conducting plates separated by a non-conducting material. 
Capacitance is donated by ‘C’ 
 
 
?= Permittivity of medium 
A = Area of Plates 
D = distance between the plates. 
Charge on Plates,    Q = CV 
V = Potential difference between the plates. 
 
?
?
A
C
d
Page 5


 
 
 
 
Active & Passive Elements 
If any elements absorb, dissipate, waste, convert electrical energy it is called as passive element. 
Eg. Resistor, Inductor, Capacitor. 
If any elements energize, deliver, give out, drive the electrical energy it is called as active element. 
Eg. BJT, MOSFET. 
 
Network Technologies 
Node : It is a point of interconnection or junction between two or more components. 
Branch : It is an elemental connection between two nodes. 
Mesh: A mesh is a close path which should not have any further closed path in it. 
Loop : All possible close path. 
 
Ohm’s law 
At constant temperature and for uniform cross section of conductor. 
JE ??
 
s= conductivity, 
? ??
?
 resisti
1
vity . 
? V IR 
?
?
l
R
A
                                                   Circuit Symbol:   
? l lenght of conductor 
A = Area of conductor. 
 
Conductance of circuit elements is 
?
1
G
R
 
Sign Convention  
To apply ohm’s law, we must apply following sign convention. 
 
 
 
 
 
 
 
 
 
 
 
 
Short circuit & open circuit 
Voltage across terminals of a short circuit is always zero, regardless of the value of current which 
could be any value. (R = 0) 
The current through an open circuit is always zero, regardless of voltage across the terminals 
which could be any value. ? ? R ?? 
Power of resistor 
2
2
V
P VI I R
R
? ? ?
 
Resistance always absorbs or dissipates power. 
 
Kirchoff’s laws 
? Kirchoff’s current law(KCL) 
It states that any instant the algebraic sum of current leaving any junction (or node) in a network 
is zero. 
In other words, current entering a node is equal to current leaving the node. 
  
            
? ?
?
? n
n
i t 0 
 ?
?? entering leaving
ii 
            
1 3 5 2 4
i i i i i ? ? ? ?
 
 
 
? Kirchoff’s voltage law (KVL) 
It states that any instant the algebraic sum of the voltage around any closed path (or loop) within 
a network is zero. In other words, the sum of voltage drops is equal to sum of voltage rises. 
 
? ?
?
?
n
n
V t 0 
            ?
?? drop rise
VV 
            ? ? ? ? ?
1 2 3 4 5
V V V V V 0 
 
 
 
 
 
 
 
 
 
 
Series resistance or voltage division 
Two or more circuit elements are connected in series means that current through all elements in 
same. If ‘N’ resistors, with resistance 
1 2 n
R ,R ,........R are connected in series 
eq 1 2 N
R R R ...................R ? ? ?
            
? ?
?
?
1
1
12
VR
V
RR
      
? ?
?
?
2
2
12
VR
V
RR
 
 
 
Parallel resistance or current division 
Two or more circuit elements are connected in parallel means that voltage across all elements is 
same. If ‘N’ resistors are connected in parallel 
1 2 N
R ,R ,............R 
eq 1 2 N
1 1 1 1
...........
R R R R
? ? ? ?
 
? ?
?
?
2
1
12
IR
I
RR
 
? ?
?
?
1
2
12
IR
I
RR
 
 
 
Star Delta Conversion 
 
Start to Delta 
 
??
?
1 2 1 3 2 3
a
1
R R R R R R
R
R
 
 
??
?
1 2 1 3 2 3
b
2
R R R R R R
R
R
 
 
??
?
1 2 1 3 2 3
c
3
R R R R R R
R
R
 
 
 
 
 
 
Delta to start conversion 
?
??
bc
1
a b c
RR
R
R R R
 
?
??
ac
2
a b c
RR
R
R R R
 
?
??
ab
3
a b c
RR
R
R R R
 
 
Sources 
Independent Voltage Source 
An ideal independent voltage source maintains a specified voltage across its terminals. The 
voltage is independent of current flowing through it. 
 
Independent current source 
An ideal independent current source maintains a specified current to flow through it. The current 
through this is independent of voltage across it. 
Dependent Source 
Voltage controlled voltage source (VCVS) ; 
X
V AV ? 
Current controlled voltage source (CCVS) ; 
X
V Ai ? 
Voltage controlled current source (VCCS) ; ?
x
i AV 
Current controlled current source (CCCS) ; 
x
i Ai ? 
 
Capacitor 
A capacitor is a combination of a two conducting plates separated by a non-conducting material. 
Capacitance is donated by ‘C’ 
 
 
?= Permittivity of medium 
A = Area of Plates 
D = distance between the plates. 
Charge on Plates,    Q = CV 
V = Potential difference between the plates. 
 
?
?
A
C
d
 
 
 
 
Voltage Current relationship 
 
? ?
? ? dq t
it
dt
?
 
 
? ?
? ?
?
dv t
i t C
dt
 
Sign Convention 
Energy Stored in a capacitor 
? ?
? ? ? ?
? ? ? ?
? ? ?
2
2
Qt
11
E cv t Q t v t
2 2C 2
 
Properties of ideal capacitor 
? If voltage across capacitor is constant (dc) then current through capacitor is zero & it acts as open 
circuit. 
? The voltage across capacitor must be continuous, if it as discontinuous, then 
? ? dv t
iC
dt
? is infinite, 
so voltage across capacitor cannot change instantaneously. 
 
? A capacitor never dissipates energy, it only stores energy. 
 
Capacitor in series & parallel 
? In ‘n’ capacitors are connected in series 
1 2 n
C ,C ,.............C 
?
??
eq
1 2 n
1
C
1 1 1
.................
C C C
 
 
? If ‘n’ capacitors are connected in parallel, 
1 2 n
C ,C ,..........................C 
eq 1 2 n
C C C ....................... C ? ? ? ?
 
 
In series connection, charge is same whereas in parallel connection voltage is same. 
 
Read More
68 videos|85 docs|62 tests

Top Courses for Electrical Engineering (EE)

FAQs on Short Notes: Network Elements - Network Theory (Electric Circuits) - Electrical Engineering (EE)

1. What are network elements?
Ans. Network elements refer to the various components or devices that make up a network infrastructure. These can include routers, switches, firewalls, servers, and other hardware or software components that enable the functioning and connectivity of a network.
2. How do network elements contribute to network performance?
Ans. Network elements play a crucial role in determining network performance. They help in routing and switching data packets efficiently, managing network traffic, ensuring data security, and providing necessary services for network communication. The quality and capabilities of network elements directly impact the overall performance and reliability of a network.
3. What are some examples of network elements?
Ans. Some examples of network elements include routers, which connect different networks and direct data packets to their intended destinations; switches, which enable the creation of local area networks (LANs) and help in data transmission between devices within the same network; firewalls, which protect networks from unauthorized access and malicious activities; and servers, which store and deliver data or services to client devices.
4. How are network elements managed and configured?
Ans. Network elements are typically managed and configured through network management systems (NMS) or specialized software. These systems allow network administrators to monitor and control the network elements, set up network configurations, perform diagnostics, and troubleshoot any issues. Management protocols such as Simple Network Management Protocol (SNMP) are commonly used for this purpose.
5. What are the key considerations when selecting network elements for a network infrastructure?
Ans. When selecting network elements, several factors should be considered. These include the scalability of the network elements to accommodate future growth, compatibility with existing network infrastructure, performance capabilities such as data throughput and latency, security features, ease of management and configuration, vendor support, and overall cost-effectiveness. It is important to choose network elements that align with the specific requirements and objectives of the network infrastructure.
68 videos|85 docs|62 tests
Download as PDF
Explore Courses for Electrical Engineering (EE) exam

Top Courses for Electrical Engineering (EE)

Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev
Related Searches

Viva Questions

,

Sample Paper

,

Free

,

Previous Year Questions with Solutions

,

mock tests for examination

,

Short Notes: Network Elements | Network Theory (Electric Circuits) - Electrical Engineering (EE)

,

video lectures

,

shortcuts and tricks

,

past year papers

,

Exam

,

Important questions

,

pdf

,

Short Notes: Network Elements | Network Theory (Electric Circuits) - Electrical Engineering (EE)

,

study material

,

Objective type Questions

,

Summary

,

MCQs

,

Extra Questions

,

practice quizzes

,

Semester Notes

,

ppt

,

Short Notes: Network Elements | Network Theory (Electric Circuits) - Electrical Engineering (EE)

;