network analysis labvemu.org/uploads/lecture_notes/06_02_2020_1184947537.pdf · 1 verification of...
TRANSCRIPT
NETWORK THEORY LAB LABORATORY OBSERVATION BOOK
VEMU INSTITUTE OF TECHNOLOGY DEPARTMENT OF ELECTRICAL AND ELECTRONICS ENGINEERING
(Approved by AICTE, New Delhi & Affiliated to JNTUA, Ananthapuramu)
P. KOTHAKOTA (P), CHITTOOR Dist-517112, A.P
Network Theory Lab
EEE Department Page 1
Course outcomes (Cos)
Subject Name
and Code CO id Course Outcomes Level
Network
Theory
(19A04201T)
ECE
C121.1
Apply Kirchoff’s laws, network reduction techniques
on simple electrical circuits with dependent &
independent sources
L3
C121.2 Select appropriate theorem for network simplification L5
C121.3 Analyze response of RL, RC & RLC circuits in time &
frequency domains L4
C121.4 Determine voltages and currents in a resonant circuit L5
C121.5 Determine network parameters for given two port
network L5
INDEX
Network Theory Lab
EEE Department Page 2
S.No NAME OFTHE EXPERIMENT Date Marks Sign
1 Verification of KCL & KVL for any network
2 Apply Mesh & Nodal Analysis techniques for
solving electrical circuits
3 Verification of Superposition & Reciprocity
Theorem
4 Verification of Thevenin’s and Norton’s Theorem
5 Verification of Maximum Power Transfer
Theorem with analysis
6 Measure and calculate RC time constant for a
given RC circuit
7 Measure and calculate RL time constant for a
given RL circuit
8 Frequency response of series resonance
circuit with analysis and design
9 Frequency response of parallel resonance circuit
with analysis and design
10 Measure and calculate Z, Y parameters of two-port
network.
11 Design and frequency response of Low pass and
high pass filter
12 Design and frequency response of band pass
filter
Network Theory Lab
EEE Department Page 3
Network Theory Lab
EEE Department Page 4
EXP.NO: DATE
VERIFICATION OF KVL AND KCL
AIM: Verification of KVL and KCL theoretically and practically.
Apparatus:
S. No. Name of the Equipment Range Type Quantity
1 Rheostats
2 Ammeter
3 RPS
4 Multimeter
5 Connecting Wires
6 Voltmeter
Precautions:
a. Loose connections should be avoided.
b. Set the resistance values of the rheostats exactly by measuring the resistances
with a multi meter.
c. Take the readings should without any parallax error
PROCEDURE:
KVL:-
1) Make connections as for diagram
2) Switch on the DC supply.
3) Note down all meter readings, the sum of VI, V2 and V3 must be equal to the Vs.
KCL:-
1) Make connections as for diagram
2) Switch on the DC supply.
3) Note down all meter readings, the sum of A2 and A3 must be equal to the A1.
THEORETICAL CALCULATIONS:-
Network Theory Lab
EEE Department Page 5
Network Theory Lab
EEE Department Page 6
RESULT:-
VIVA QUESTIONS:
1. Define KVL?
2. Define KCL?
3. What is the Voltage across resistor
4. Define current?
5. Define voltage?
6. Define resistance?
7. Define inductance?
8. Voltage across inductor formula
9. voltage across capacitor formula
10. What is a linear network?
Network Theory Lab
EEE Department Page 7
EXP.NO: DATE
Mesh Analysis and Nodal Analysis
AIM: Verification and mesh and nodal analysis theoretically and practically
APPARATUS:
CIRCUIT DIAGRAM:
S.No. Equipment Range Type Quantity
1. Resistors - -
2. Ammeter
3. R.P.S
4. Bread Board - -
5. Connecting Wires required
Network Theory Lab
EEE Department Page 8
PRECAUTIONS:
1. Check for proper connections before switching ON the supply
2. Make sure of proper color coding of resistors
3. The terminal of the resistance should be properly connected.
PROCEDURE:
Mesh Analysis
1. Connect the circuit diagram as shown in Figure 2.1.a
2. Switch ON the supply to RPS
3. Apply the voltage.
4. Gradually increase the supply voltage in steps.
5. Connect ammeters in the loop and find the currents I1, I2 and I3.
6. Verify the practical results obtained with theoretical results.
Nodal Analysis
1. Connect the circuit diagram as shown in Figure 2.1.b
2. Switch ON the supply to RPS.
3. Apply the voltage and note the voltmeter readings.
4. Gradually increase the supply voltage in steps.
5. Note the readings of voltmeters.
6. Verify the practical results obtained with theoretical results
OBSERVATIONS:
Applied
Voltage V
(volts)
Loop current(I1) Loop current (I2) Loop current(I3)
Theoretical Practical Theoretical Practical Theoretical Practical
Applied
Voltage V
(volts)
Node voltage(v1) Node voltage(v2) Node voltage(v3)
Theoretical Practical Theoretical Practical Theoretical Practical
Network Theory Lab
EEE Department Page 9
Theoretical calculations:
Network Theory Lab
EEE Department Page 10
RESULT:
Viva voice
1. What is mesh analysis?
2. What is nodal analysis?
3. Define super mesh?
4. Define super node?
EXP.NO: DATE
Network Theory Lab
EEE Department Page 11
VERIFICATION OF SUPERPOSITION AND RECIPROCITY
THEOREM
AIM: To verify superposition and reciprocity theorems for the given circuit.
STATEMENT:
Super position theorem
In any linear, bilateral, multi source network the response in any element is equal to the algebraic sum
of the responses obtained by each source acting separately while all other sources are set equal to zero.
Reciprocity theorem:
In any linear, bilateral, single source network, the ratio of excitation to the response is same even
though the positions of excitation and response are interchanged
APPARATUS:
S. No Name of the apparatus Range Type Quantity
1 Dual channel regulated
power supply (0 – 30V) - 1No
2 Ammeter (0 – 10) mA MC 1No
3 Resistors
4.7 K
1.8 K
1 K
470
2.2 K
Carbon
Composition
1No
1No
1No
4 Bread board - - 1No
5 Connecting wires - - Required number
PROCEDURE:
Super position theorem:
Network Theory Lab
EEE Department Page 12
Connect the circuit as per the fig (4.1).
1. Adjust the output voltage of sources X and Y to 20V and 5V respectively (RPS output).
2. Note down the response (current, IL) through the branch of interest (AB) (ammeter reading).
3. Now set the 5V source (Y) to 0V.
4. Note down the current through the branch AB (ILl) (ammeter reading).
5. Now set the 20V source (X) to 0V and source Y to 5V.
6. Note down the response (current, ILll) through the branch AB (ammeter reading).
7. Disconnect the circuit
Reciprocity theorem
1. Connect the circuit as per the fig (4.4).
2. Set the R.P.S output voltage to 10V.
3. Note down the response (current through 1.8K resistor)(ammeter reading).
4. Disconnect the circuit.
5. Connect the circuit as per the fig (4.5).
6. Note down the response (current through 2.2K resistor)(ammeter reading).
7. Disconnect the circuit.
VERIFICATION OF SUPERPOSITION THEOREM
GIVEN CIRCUIT:
Theoretical circuit diagrams:
Practical circuit diagrams:
a) When both the sources are acting: a) When both the sources are acting:
Network Theory Lab
EEE Department Page 13
Fig (3.1)
Tabular Column:
S.No
Applied Voltage Current
IL
(mA)
V1
(Volts)
V2
(Volts)
Theoretical circuit diagrams: Practical circuit diagrams:
b. When 20V source alone is acting;
b) When 20V source alone is acting;
Fig (3.2)
Tabular Column:
S. No Applied voltage
(V1) Volt
Current
IL
(mA)
Network Theory Lab
EEE Department Page 14
When 5V source alone is acting;
When 5V source alone is acting:
Fig (3.3)
S. No
Applied voltage
(V2) Volt
Current
IL
(mA)
Network Theory Lab
VERIFICATION OF RECIPROCITY THEOREM
GIVEN CIRCUIT:
Theoretical circuit diagrams: Practical circuit diagrams:
a) To find load current IL:
After interchanging the positions of
excitation and response:
a) To find load current IL:
Fig (3.4) Tabular Column:
S. No Applied voltage
(V1) Volt
Current
IL(mA)
After interchanging the positions of excitation and
response:
Fig (3.5)
Tabular Column:
S. No Applied voltage
(V2) Volt
Current
IL1
(mA)
RESULT:
Network Theory Lab
1. Since IL=ILl +IL
l l superposition theorem is verified on the given circuit and practical values are
compared with theoretical values.
2. Since V/IL=V/ILl reciprocity theorem is verified on the given circuit and practical values are
compared with theoretical values.
CONCLUSION:
1. The given circuit is linear, since the response is algebraic sum of the individual responses.
2. Superposition theorem is not valid for power responses.
3. The given circuit is bilateral, since the ratio of excitation to the response is same before and
after interchanging the positions of excitation and response.
S.No Load current Theoretical Values Practical Values
1 When Both sources are acting, IL
2 When only source X is acting, ILl
3 When only source Y is acting, 11
LI
S.No Parameter Theoretical Value Practical Value
1 V/IL
2 V/ILl
Network Theory Lab
EXP.NO: DATE
VERIFICATION OF THEVENIN’S AND NORTON’S
THEOREMS
AIM: To verify Thevenin’s & Norton’s theorems for the given circuit.
STATEMENTS:
Thevenin’s theorem: It states that any linear, active network with two open terminals can be replaced
by an equivalent circuit consisting of Thevenin’s equivalent voltage source Vth in series with Thevenin’s
equivalent resistance Rth. Where Vth is the open circuit voltage across the two terminals and Rth is the
resistance seen from the same two terminals.
Norton’s theorem: It states that any linear, active network with two open terminals can be replaced by
an equivalent circuit consisting of Norton’s equivalent current source IN in parallel with Norton’s
equivalent resistance RN. where IN is the short circuit current through the two terminals and RN is the
resistance seen from the same two terminals
APPARATUS:
S. No Name of the apparatus Range Type Quantity
1 Dual channel
Regulated power supply (0 – 30)V - 1
2 Voltmeter (0-10)V MC 1
3 Ammeter (0-10m)A MC 1
4 Decade resistance box (0-111.11K) - 1
5 Resistors
1k
2.2 K
100
Carbon
Composition
3
1
1
6 Bread board - - 1
7 Current Source (0-10m)A 1
8 Connecting wires - - Required number
VERIFICATION OF THEVENIN’S THEOREM
Network Theory Lab
GIVEN CIRCUIT:
Theoretical circuit diagrams: Practical circuit diagrams:
a) To find load current IL:
b) To find Vth:
a) To find load current IL:
Fig (4.1)
Tabular Column:
S. No Applied voltage
(VS) Volt
Current
IL
(mA)
b) To find Vth:
Fig (4.2)
Network Theory Lab
S.
No
Source
voltage
(Vs)
Volt
Thevenin’s equivalent voltage, Vth (Volt)
Theoretical circuit diagrams: Practical circuit diagrams:
c) To find Rth:
d) To find load current IL1 using thevenin’s
equivalent circuit
c) To find Rth:
Fig (4.3)
S. No
Voltage,
V (Volt)
Current,
I
(mA)
Rth= KΩI
V
d) To find load current IL1 using thevenins
equivalent circuit
Network Theory Lab
d) To find Norton’s equivalent current IN:
Fig: (4.4)
S. No
Thevenins equivalent voltage
(Vth) Volt
Current
IL1
(mA)
d) To find Norton’s equivalent current IN:
Fig. (4.5) Tabular Column:
S. No Applied voltage
(VS) Volt
Current
IN
(mA)
PRECAUTIONS:
1. Initially keep the RPS voltage knob in zero volt position.
2. Set the ammeter pointer at zero position.
3. Take the readings without parallax error.
4. Avoid loose connections.
5. Do not short-circuit the output terminals of the R.P.S.
PROCEDURE:
Thevenin’s Theorem
1. Connect the circuit as per the circuit diagram (4.1)
2. Set the R.P.S output voltage to 10V.
Network Theory Lab
3. Note down the current IL through the load terminals AB (Ammeter Reading)
4. Disconnect the circuit and connect as per the fig (4.2).
5. Set the R.P.S output voltage to 10V.
6. Note down the voltage across the load terminals AB (Voltmeter Reading) that gives Vth.
7. Disconnect the circuit and connect as per the fig (4.3).
8. Set the R.P.S output voltage to say V=5V.
9. Note down the current (I) supplied by the source (Ammeter Reading).
10. The ratio of V and I gives the Rth.
11. Connect the circuit as per the circuit diagram (4.4).
12. Set the R.P.S output voltage to 6.96V.
13. Note down the current IL1 through the load terminals AB (Ammeter Reading).
14. Disconnect the circuit and verify the IL=IL1.
Norton’s Theorem
1. Connect the circuit as per the circuit diagram (4.5)
2. Set the R.P.S output voltage to 10V.
3. Note down the current IL through the load terminals AB (Ammeter Reading)
4. Disconnect the circuit and connect as per the fig (4.6).
5. Set the R.P.S output voltage to 10V.
6. Note down the current through the load terminals AB (ammeter Reading) that gives IN.
7. Disconnect the circuit and connect as per the fig (4.7).
8. Set the R.P.S output voltage to say V=5V.
9. Note down the current supplied by the source I (Ammeter Reading).
10. The ratio of V and I gives the RN.
11. Connect the circuit as per the circuit diagram (4.8).
12. Set the current source to 4.107.mA
13. Note down the current IL1 through the load terminals AB (Ammeter Reading).
14. Disconnect the circuit and verify the IL=IL1.
Theoretical Calculations:
Network Theory Lab
RESULT:
Since IL=IL l Thevenin’s and Norton’s theorems are verified and practical values are compared with
theoretical values.
S.No Parameter
Thevenin’s theorem Norton’s theorem
Theoretical
Values
Practical
Values
Theoretical
Values
Practical
Values
1 Vth
2 Rth
3 Load current
4 IN
Network Theory Lab
CONCLUSIONS:
1. The response through the load of the given circuit is same even though its Thevenin’s
equivalent circuit replaces the circuit.
2. The response through the load of the given circuit is same even though the circuit is
replaced by its Norton’s equivalent circuit.
circuit Diagram:
5 RN
6 Load current
Network Theory Lab
Practical Circuits:
EXP.NO: DATE:
MAXIMUM POWER TRANSFER THEOREM
AIM: To verify maximum power transfer theorem theoretically and practically.
APPARATUS:
Network Theory Lab
S.No.
Name of the equipment
Range
Type
Quantity
1. RPS (0-30)V .. 1
2 Bread Board .. .. 1
3 Resistors
4 Ammeter (0-500)mA MC 1
5 Voltmeter (0-30)V MC 1
6 DRB (0-1)M ohm .. 1
7 Connecting Wires .. .. ..
Statement for maximum power transfer theorem:
It states that the maximum power is transferred from the source to the load, when the
load resistance is equal to the source resistance.
PROCEDURE:
1. Make the connections as shown in fig(1).
2. By varying RL in steps, note down the reading of ammeter IL in each step.
3. Connect the circuit as shown in fig (2), measure the effective resistance Rth.with the
help of digital multi meter.
4. Calculate power delivered to load PL in each step.
5. Draw a graph PL Vs RL and find the RL corresponding to maximum power from it.
6. Verify that RL corresponding to maximum power from the graph is equal to the Rth(
which is nothing but source resistance RS).
Network Theory Lab
Tabular Column
S.No.
VS(V)
VL(V)
IL(A)
RL= VL (Ω)
IL
P= VLIL (W)
Theoretical Calculations:
Network Theory Lab
Network Theory Lab
Result:
VIVA QUESTIONS:-
1) What is the Statement of Maximum Power Transfer theorem?
2) What is a non linear network?
3) What is a unilateral network?
4) What are the applications of the above theorem?
5) What are the advantages & disadvantages of the above theorem?
6) State the maximum power transfer theorem for AC network?
Network Theory Lab
Circuit Diagram:
Network Theory Lab
EXP.NO: DATE:
ANALYSIS OF RL CIRCUITS FOR PULSE EXCITATION
AIM:
To draw the time response of first order R-L Networks for periodic non sinusoidal functions
and determination of time constant.
APPARATUS:
S.No.
Name of the equipment
Range
Type
Quantity
1. Function Generator (0-1)MHz .. 1
2 Bread Board .. .. 1
3 DRB .. .. 1
4 DLB .. .. 1
5 CRO .. .. 1
6 Connecting Wires .. .. ..
PROCEDURE:-
1. Make connections as per the circuit diagram.
2. Give 2V Peak to peak square wave supply through function generator with
suitable frequency.
3. Take out put across inductor in RL Circuit, across capacitor in RC Circuits.
4. Calculate the time constant from CRO.
5. For deferent values of T and V Calculate corresponding (L/R) Values.
6. Compare the time constant theoretically and practically.
Network Theory Lab
Model Waveform:
Network Theory Lab
Theoretical Calculations:
Network Theory Lab
Network Theory Lab
Result:
VIVA QUESTIONS:-
1) Define impedance?
2) Define suseptance?
3) What is the Impedance of series RL circuit?
4) What is the Impedance of series RC circuit?
5) What is the Time constant of series RL circuit?
6) What is the Time constant of series RC circuit?
7) What happen if DC supply applied to inductor?
8) What happen if DC supply applied to capacitor?
Network Theory Lab
Circuit Diagram
EXP.NO: DATE:
ANALYSIS OF RC CIRCUITS FOR PULSE EXCITATION
Network Theory Lab
AIM:
To draw the time response of first order RC Networks for periodic non sinusoidal functions
and determination of time constant.
APPARATUS:
S.No.
Name of the equipment
Range
Type
Quantity
1. Function Generator (0-1)MHz .. 1
2 Bread Board .. .. 1
3 DRB .. .. 1
4 DCB .. .. 1
5 CRO .. .. 1
6 Connecting Wires .. .. ..
PROCEDURE:-
1. Make connections as per the circuit diagram.
2. Give 2V Peak to peak square wave supply through function generator with suitable
frequency.
3. Take out put across capacitor in RC Circuits.
4. Calculate the time constant from CRO.
5. For deferent values of T and V Calculate corresponding (RC) Values.
6. Compare the time constant theoretically and practically.
Model Waveform:
Network Theory Lab
Theoretical Calculations:
Network Theory Lab
Network Theory Lab
Result:
Network Theory Lab
Network Theory Lab
Network Theory Lab
EXP.NO: DATE:
FREQUENCY RESPONSE OF SERIES RESONANCE CIRCUIT
AIM: To verify resonant frequency, bandwidth & quality factor of RLC series Resonant
circuits.
APPARATUS:
S.No.
Name of the equipment
Range
Type
Quantity
1 Function Generator (0-1)MHz .. 1
2 Bread Board .. .. 1
3 DRB .. .. 1
4 DCB .. .. 1
5 DMM .. .. 1
6 Connecting Wires .. .. ..
PROCEDURE:
1. Connect the circuit as shown in the fig(1)
2. Apply a fixed voltage through function generator to the circuit.
3. The frequency of the signal is varied in steps and note down corresponding
ammeter reading as Is. observe that current is maximum at resonant frequency.
4. Draw a graph between frequency f and current Is .Mark Resonant frequency
and Current at half power frequencies.
𝑄 = 𝑓0
𝑓2 − 𝑓1
5. Find Bandwidth = (f2-f1.) & Quality factor from graph.
6. Compare practical values of resonant frequency, Q-factor and Bandwidth with
theoretical values.
Network Theory Lab
Observations:
Network Theory Lab
Network Theory Lab
Theoretical Calculations:
Result:
Network Theory Lab
VIVA QUESTIONS:-
1) Define Resonance?
2) Define bandwidth?
3) What is resonant condition in series RLC circuit?
4) Define quality factor?
5) What is half power frequencies?
6) What is the resonance frequency of series RLC circuit?
7) What is the band width of series RLC circuit?
8) What are the half power frequencies of series RLC circuit?
Network Theory Lab
Circuit Diagram:
EXP.NO: DATE:
Network Theory Lab
FREQUENCY RESPONSE OF PARALLEL RESONANCE CIRCUIT
AIM: To verify resonant frequency, bandwidth & quality factor of RLC parallel Resonant
circuits.
APPARATUS:
PROCEDURE:
1) Connect the circuit as shown in the fig.
2) Apply a fixed voltage through function generator to the circuit.
3) The frequency of the signal is varied in steps and note down corresponding
ammeter reading as Ip.
4) Observe that current is minimum at resonant frequency.
5) Draw a graph between frequency f and current Is .Mark resonant
frequency and current at half power frequencies.
6) Find Bandwidth = (f2-f1.) & Quality factor from graph.
7) Compare practical values of resonant frequency, Q-factor and Bandwidth with
theoretical values.
S.No.
Name of the equipment
Range
Type
Quantity
1. Function Generator (0-1)MHz .. 1
2 Bread Board .. .. 1
3 DRB .. .. 1
4 DLB .. .. 1
5 DCB .. .. 1
6 DMM .. .. 1
7 Connecting Wires .. .. ..
Network Theory Lab
EEE DEPARTMENT Page 49
Observations:
S.NO. Frequency (f) Current (Is)
Network Theory Lab
EEE DEPARTMENT Page 50
Theoretical Calculations:
Network Theory Lab
EEE DEPARTMENT Page 51
Network Theory Lab
EEE DEPARTMENT Page 52
Result:
VIVA QUESTIONS:-
1) Define Resonance?
2) What is the quality factor of parallel RLC circuit?
3) What is Resonant condition in series RLC circuit?
4) Define quality factor?
5) What is half power frequencies?
6) What is the resonance frequency of parallel RLC circuit?
7) What is the band width of parallel RLC circuit?
8) What are the half power frequencies of parallel RLC circuit?
Network Theory Lab
EEE DEPARTMENT Page 53
Exp. No.: Date:
DETERMINATION OF Z AND Y PARAMETERS
AIM: To determine open circuit impedance parameters (Z) and short circuit admittance parameters (Y)
of the given two port network.
APPARATUS:
S. No Name of the apparatus Range Type Quantity
1 Dual channel
Regulated power supply (0 – 30)V - 1
2 Voltmeters (0-10) V MC 2
3 Ammeters (0-10m) A MC 2
4 Resistors
1k
2.2 K
470
Carbon
Composition
2
1
1
5 Bread board - - 1
6 Connecting wires - - Required
Number
PRECAUTIONS:
1. Initially keep the RPS output voltage knob in zero volt position.
2. Set the ammeter pointer to zero position.
3. Take the readings without parallax error.
4. Avoid loose connections.
5. Do not short-circuit the RPS output terminals.
Network Theory Lab
EEE DEPARTMENT Page 54
PROCEDURE:
1. Connect the circuit as per the fig (3.1).
2. Adjust the output voltage of the regulated power supply to an appropriate value (Say 10V).
3. Note down the corresponding current (I1) through the input port, 1-11 and voltage (V2)
across the output port, 2-21.
4. Reduce the voltage to zero, disconnect the circuit and calculate Z11 and Z21 using the
formulae, Z11=V1/I1 and Z21=V2/I1.
5. Connect the circuit as per the fig (3.2).
6. Vary the R.P.S. output voltage to 5V, 10Vand 15V
7. Reduce the voltage to zero, disconnect the circuit and calculate Z22 and Z12 using the
formulae, Z22=V2/I2 and Z12=V1/I2
8. Connect the circuit as per the fig(3.3).
9. Vary the R.P.S. output voltage to 5V, 10V and 15V.
10. Note down the corresponding currents through the input port I1 and output port I2.
11. Reduce the voltage to zero, disconnect the circuit and calculate Y11 and Y21 using the
formulae,Y11=I1/V1 and Y21=I2/V1.
12. Connect the circuit as per the fig (3.4).
13. Vary the R.P.S. output voltage to 5V, 10V and 15V..
14. Note down the corresponding currents through the input port I1 and output port I2.
15. Reduce the voltage to zero, disconnect the circuit and calculate Y11 and Y21 using the
formulae,Y12=I1/V2 and Y22=I2/V2.
Network Theory Lab
EEE DEPARTMENT Page 55
DETERMINATION OF Z AND Y PARAMETERS
GIVEN CIRCUIT:
Theoretical circuit diagrams: Practical circuit diagrams:
a) To find Z11&Z21:
a) To find Z11&Z21:
Fig. (9.1)
Tabular Column:
S.
No
V1
(Volts)
V2
(Volts)
I1
(mA)
11z kΩI
v
1
1 kΩI
vz
1
221
Theoretical circuit diagrams: Practical circuit diagrams:
b) To find Z22&Z12:
b) To find Z22&Z12:
Network Theory Lab
EEE DEPARTMENT Page 56
c) To find Y11&Y21:
S.
No
V1
(volts)
V2
(volts)
I2
(mA)
kΩI
vz
2
222 kΩ
I
vz
2
112
c) To find Y11&Y21:
Tabular Column:
S.
No
V1
(volts)
I2
(mA)
I1
(mA)
1
111
V
IY
(mho)
1
221
V
Iy
(mho)
Network Theory Lab
EEE DEPARTMENT Page 57
Theoretical circuit diagrams: Practical circuit diagrams:
b)To find y22&y12:
b) To find y22&y12:
S.
No
V2
(volts)
I2
(mA)
I1
(mA)
2
2
22V
Iy
(mho)
2
1
12V
IY
(mho)
RESULT:
Open circuited impedance and short circuit admittance parameters are determined and are compared
with theoretical values.
S.No Parameter Theoretical Values Practical Values
1 Z11
2 Z12
3 Z21
4 Z22
5 Y11
6 Y12
7 Y21
8 Y22
Network Theory Lab
EEE DEPARTMENT Page 58
CONCLUSIONS:
1. Since Z12 = Z21 and Y12 = Y21 the given circuit is reciprocal.
2. Since Z11 = Z22 and Y11 = Y22 the given circuit is symmetrical.
3. There is a small deviation between theoretical and practical values because internal resistances
of source and meters are not considered.
Network Theory Lab
EEE DEPARTMENT Page 59
Circuit Diagram:
Network Theory Lab
EEE DEPARTMENT Page 60
EXP.NO: DATE:
FREQUENCY RESPONSE OF CONSTANT K LOW PASS &
HIGH PASS FILTER
Aim: To design a low pass RC circuit for the given cutoff frequency and obtain its frequency
response.
Theory:
The process whereby the form of a non sinusoidal signal is altered by transmission through a
linear network is called “linear wave shaping”. An ideal low pass circuit is one that allows all the
input frequencies below a frequency called cutoff frequency fc and attenuates all those above this
frequency. For practical low pass circuit (Fig.1) cutoff is set to occur at a frequency where the gain
of the circuit falls by 3 dB from its maximum at very high frequencies the capacitive reactance is
very small, so the output is almost equal to the input and hence the gain is equal to 1. Since circuit
attenuates low frequency signals and allows high frequency signals with little or no attenuation, it is
called a high pass circuit.
Procedure:
Frequency response characteristics:
1 .Connect the circuit as shown in Fig.1 and apply a sinusoidal signal of amplitude of 2V p-p as
input.
2. Vary the frequency of input signal in suitable steps 100 Hz to 1 MHz and note down the p-p
amplitude of output signal.
3. Obtain frequency response characteristics of the circuit by finding gain at each frequency and
plotting gain in dB vs frequency.
4. Find the cutoff frequency fc by noting the value of f at 3 dB down from the maximum gain
Precautions:
1. Connections should be made carefully.
2. Verify the circuit connections before giving supply.
Network Theory Lab
EEE DEPARTMENT Page 61
3. Take readings without any parallax error
Sample readings
Model Graphs and wave forms
Low Pass RC circuit frequency response:
Network Theory Lab
EEE DEPARTMENT Page 62
Theoretical Calculations:
Network Theory Lab
EEE DEPARTMENT Page 63
High Pass RC circuit response
Network Theory Lab
EEE DEPARTMENT Page 64
Network Theory Lab
EEE DEPARTMENT Page 65
Network Theory Lab
EEE DEPARTMENT Page 66
Result:
VIVA QUESTIONS:-
1) Define filter?
2) Define low-pass filter?
3) Define high-pass filter?
4) Define cut-off frequency?
5) What is the cut off frequency of RC low-pass filter?
6) Define notch filter?
Network Theory Lab
EEE DEPARTMENT Page 67
circuit diagram
Network Theory Lab
EEE DEPARTMENT Page 68
EXP.NO: DATE:
FREQUENCY RESPONSE OF BAND PASS FILTER
Aim: To design a band pass RC circuit for the given cutoff frequency and obtain its
frequency response.
Procedure:
1) Connect the circuit as shown in Fig.1 and apply a sinusoidal signal of amplitude of
2V p-p as input.
2) Vary the frequency of input signal in suitable steps 100 Hz to 1 MHz and note
down the p-p amplitude of output signal.
3) Obtain frequency response characteristics of the circuit by finding gain at each
frequency and plotting gain in dB vs frequency.
4) Find the cutoff frequency fc by noting the value of f at 3 dB down from the maximum
gain
Network Theory Lab
Sample readings
Band Pass RC Circuit Input Voltage: Vi=2 V(p-p)
Theoretical Calculations:
Network Theory Lab
Network Theory Lab
Results:
VIVA QUESTIONS:-
1) Define filter?
2) Define band-pass filter?
3) Define band width?
4) Define cut-off frequency?
5) What is the cut off frequency of RC band-pass filter?